- Stahuj zápisky z přednášek a ostatní studijní materiály
- Zapisuj si jen kvalitní vyučující (obsáhlá databáze referencí)
- Nastav si své předměty a buď stále v obraze
- Zapoj se svojí aktivitou do soutěže o ceny
- Založ si svůj profil, aby tě tví spolužáci mohli najít
- Najdi své přátele podle místa kde bydlíš nebo školy kterou studuješ
- Diskutuj ve skupinách o tématech, které tě zajímají
Studijní materiály
Zjednodušená ukázka:
Stáhnout celý tento materiál09a117 a122 a110a105a99a104 a112a97a107 a112a114a111 a122a107a111a117a178a107a117
a122 a66a77a84a68 a122a97a115a101 a54a46 a84a237a109 a109a225a109a101 6 · 6 a109a111a186a110a111a115a116a237 a112a114a111 a112a114a118a110a237 a100a118a165 a122a107a111a117a178a107a121a46 a75a101 a107a97a186a100a233 a122 a110a105a99a104 a106a101 a54
a109a111a186a110a111a115a116a237 a112a114a111 a122a107a111a117a178a107a117 a122 a66a70a89a49a46 a84a111 a100a165a108a225 6 · 6 · 6 a109a111a186a110a111a115a116a237 a97 a107a101 a107a97a186a100a233 a122 a110a105a99a104 a112a97a107 a106a101a178a116a165
a106a101 a54 a109a111a186a110a111a115a116a237 a112a114a111 a118a253a115a108a101a100a101a107 a122a107a111a117a178a107a121 a122 a66a69a76a49a46 a86a253a115a108a101a100a110a253a99a104 a109a111a186a110a111a115a116a237 a112a114a111 a99a101a108a233 a115a116a117a100a101a110a116a111a118a111
a18a118a121a115a118a165a100a163a101a110a237a16 a106a101 a116a101a100a121 6·6·6·6 = 64 = 1296a46
a86 a116a111a109a116a111 a112a176a237a107a108a97a100a117 a106a115a109a101 a115a101a115a116a97a118a111a118a97a108a105 a117a115a112a111a176a225a100a97a110a233 a163a116a118a101a176a105a99a101a44 a117a100a225a118a97a106a237a99a237 a112a111a115a116a117a112a110a165 a122a110a225a109a107a121
a122 a109a97a116a101a109a97a116a105a107a121a44 a109a97a116a101a114a105a225a108a183a44 a102a121a122a105a107a121 a97 a101a108a101a107a116a114a111a116a101a99a104a110a105a107a121a44 a122a101 a178a101a115a116a105a112a114a118a107a111a118a233 a109a110a111a186a105a110a121 a109a111a186a110a253a99a104
a118a253a115a108a101a100a107a183 a123a65a44 a66a44 a67a44 a68a44 a69a44 a70a125a46 a74a101a100a110a97a108a111 a115a101 a111 a116a122a118a46 a118a97a114a105a97a99a101 a115 a111a112a97a107a111a118a225a110a237a109a46
a86a97a114a105a97a99a101 a115 a111a112a97a107a111a118a225a110a237a109
a86a97a114a105a97a99a101 a115 a111a112a97a107a111a118a225a110a237a109 a106a115a111a117 a117a115a112a111a176a225a100a97a110a233 ka45a116a105a99a101 a118a121a98a237a114a97a110a233 a122 n a112a114a118a107a111a118a233 a109a110a111a186a105a110a121a44 a112a176a105a163a101a109a186
a106a101a100a110a111a116a108a105a118a233 a112a114a118a107a121 a115a101 a118 ka45a116a105a99a237a99a104 a109a111a104a111a117 a111a112a97a107a111a118a97a116a46
a80a114a111a116a111a186a101 a107a97a186a100a253 a122 k a112a114a118a107a183 a109a183a186a101a109a101 a118a121a98a114a97a116 n a122a112a183a115a111a98a121a44 a112a111a163a101a116 a116a165a99a104a116a111 a118a97a114a105a97a99a237 a106a101
n···nbracehtipupleft bracehtipdownrightbracehtipdownleft bracehtipupright
k kr´at
= nk.
a83 a118a97a114a105a97a99a101a109a105 a115 a111a112a97a107a111a118a225a110a237a109 a106a115a109a101 a115a101 a115a101a116a107a97a108a105 a117a186 a118 a112a176a237a107a108a97a100a117 a49a46a49a44 a107a100a101 a106a115a109a101 a115a101a115a116a97a118a111a118a97a108a105 a117a115a112a111a176a225a100a97a110a233
a100a118a111a106a105a99a101 a122a101 a163a116a121a176a112a114a118a107a111a118a233 a109a110a111a186a105a110a121 a123a131a44 a77a44 a90a44 a154a125a46 a86a253a115a108a101a100a101a107 a116a111a104a111a116a111 a112a176a237a107a108a97a100a117 a109a183a186a101a116a101 a112a111a114a111a118a110a97a116
a115 a118a253a178a101 a117a118a101a100a101a110a253a109 a118a122a111a114a99a101a109a46
a49a80a111a100a108a101 a115a116a117a100a105a106a110a237a104a111 a112a108a225a110a117 a112a114a111 a178a107a111a108a110a237 a114a111a107 a50a48a48a55a47a50a48a48a56a46
a77a97a116a101a109a97a116a105a107a97 a51 a53
a80a176a237a107a108a97a100 a49a46a53 a78a111a118a253 a100a165a107a97a110 a106a105a115a116a233 a102a97a107a117a108a116a121 a115a105 a118a121a98a237a114a225 a51 a112a114a111a100a165a107a97a110a121a58 a112a114a111 a115a116a117a100a105a117a109a44 a112a114a111 a118a165a100a117 a97
a118a253a122a107a117a109 a97 a112a114a111 a118a110a165a106a178a237 a118a122a116a97a104a121a46 a86 a250a118a97a104a117 a112a176a105a112a97a100a225 a99a101a108a107a101a109 a49a48 a108a105a100a237a44 a115a101 a107a116a101a114a253a109a105 a106a101 a122a97a100a111a98a176a101a46 a75a111a108a105a107
a106a101 a109a111a186a110a111a115a116a237 a112a114a111 a110a111a118a233 a118a101a100a101a110a237 a102a97a107a117a108a116a121a63
a144a101a178a101a110a237a58 a74a97a107a111 a115a116a117a100a105a106a110a237a104a111 a112a114a111a100a165a107a97a110a97 a115a105 a109a183a186a101 a118a121a98a114a97a116 a107a111a104a111a107a111a108a105 a122 a49a48a46 a75 a110a165a109a117 a112a97a107 a106a97a107a111 a118a165a100a101a99a107a45
a233a104a111 a112a114a111a100a165a107a97a110a97 a117a186 a106a101a110 a110a165a107a111a104a111 a122a101 a122a98a253a118a97a106a237a99a237a99a104 a57 a108a105a100a237a46 a84a237a109 a109a225a109a101 10 · 9 a109a111a186a110a111a115a116a237 a112a114a111 a112a114a118a110a237
a100a118a97 a112a114a111a100a165a107a97a110a121 a97 a107a101 a107a97a186a100a233 a122 a110a105a99a104 a106a101 a112a97a107 a106a101a178a116a165 a56 a109a111a186a110a111a115a116a237 a112a114a111 a118a111a108a98a117 a116a176a101a116a237a104a111a46 a67a101a108a107a101a109 a106a101
10·9·8 = 720 a109a111a186a110a111a115a116a237a46
a84a101a110a116a111a107a114a225a116 a106a115a109a101 a122 a109a110a111a186a105a110a121 a100a101a115a101a116a105 a108a105a100a237 a115a101a115a116a97a118a111a118a97a108a105 a117a115a112a111a176a225a100a97a110a233 a116a114a111a106a105a99a101 a112a114a111a100a165a107a97a110a183a44 a118a101 a107a116a101a114a253a99a104
a115a101 a112a114a118a107a121 a110a101a109a111a104a108a121 a111a112a97a107a111a118a97a116a46 a74a97a107 a106a105a186 a97a115a105 a116a117a178a237a116a101a44 a98a121a108a121 a116a111 a116a122a118a46 a118a97a114a105a97a99a101 a98a101a122 a111a112a97a107a111a118a225a110a237a46
a86a97a114a105a97a99a101 a98a101a122 a111a112a97a107a111a118a225a110a237
a86a97a114a105a97a99a101 a98a101a122 a111a112a97a107a111a118a225a110a237 a106a115a111a117 a117a115a112a111a176a225a100a97a110a233 ka45a116a105a99a101 a118a121a98a237a114a97a110a233 a122 n a112a114a118a107a111a118a233 a109a110a111a186a105a110a121a44 a112a176a105a163a101a109a186
a106a101a100a110a111a116a108a105a118a233 a112a114a118a107a121 a115a101 a118 ka45a116a105a99a237a99a104 a110a101a115a109a237 a111a112a97a107a111a118a97a116a46
a80a114a111a116a111a186a101 a112a114a118a110a237 a112a114a118a101a107 a109a183a186a101a109a101 a118a121a98a114a97a116 n a122a112a183a115a111a98a121a44 a100a114a117a104a253 n− 1 a122a112a183a115a111a98a121 a97a116a100a46a44 a112a111a163a101a116 a116a165a99a104a116a111
a118a97a114a105a97a99a237 a106a101
n·(n−1)···(n−k + 1)bracehtipupleft bracehtipdownrightbracehtipdownleft bracehtipupright
celkem n´asob´ιme k ˇc´ιsel
a86a178a237a109a97a118a253 a163a116a101a110a225a176 a106a105a115a116a165 a114a111a122a101a122a110a97a108a44 a186a101 a110a97 a118a97a114a105a97a99a101 a98a101a122 a111a112a97a107a111a118a225a110a237 a98a121a108 a106a105a186 a112a176a237a107a108a97a100 a49a46a50a46
a80a176a237a107a108a97a100 a49a46a54 a80a165a116 a112a176a225a116a101a108 a115a105 a107a111a117a112a105a108a111 a108a237a115a116a107a121 a100a111 a107a105a110a97a46 a75a111a108a105a107a97 a122a112a183a115a111a98a121 a115a101 a109a111a104a111a117 a110a97 a118a121a104a114a97a122a101a110a253a99a104
a112a165a116a105 a115a101a100a97a100a108a101a99a104 a114a111a122a101a115a97a100a105a116a63
a144a101a178a101a110a237a58 a77a183a186a101a109a101 a118 a112a111a100a115a116a97a116a165 a122a111a112a97a107a111a118a97a116 a250a118a97a104a117 a122 a112a176a237a107a108a97a100a117 a115 a112a114a111a100a165a107a97a110a121a46 a78a97 a112a114a118a110a237 a115a101a100a97a100a108a111
a115a105 a109a183a186a101 a115a101a100a110a111a117a116 a107a116a101a114a253a107a111a108a105 a122 a112a165a116a105 a107a97a109a97a114a225a100a183a44 a110a97 a100a114a117a104a233 a112a97a107 a117a186 a106a101a110 a110a165a107a100a111 a122a101 a122a98a121a108a253a99a104 a163a116a121a176a44 a110a97
a116a176a101a116a237 a112a97a107 a122a101 a116a176a237a44 a97a116a100a46 a67a101a108a107a101a109 a115a101 a109a111a104a111a117 a117a115a97a100a105a116 5·4·3·2·1 = 120 a122a112a183a115a111a98a121a46
a78a121a110a237 a106a115a109a101 a122a107a111a117a109a97a108a105a44 a107a111a108a105a107a97 a122a112a183a115a111a98a121 a115a101 a100a225 a21 a99a111 a100a111 a112a111a176a97a100a237 a21 a112a176a101a115a107a117a112a105a116 a53 a111a98a106a101a107a116a183 a40a118 a110a97a178a101a109
a112a176a237a112a97a100a165 a110a225a118a178a116a165a118a110a237a107a183 a107a105a110a97a41a46 a84a233a186 a98a121 a115a101 a100a97a108a111 a176a237a99a116a44 a186a101 a106a115a109a101 a115a101a115a116a97a118a111a118a97a108a105 a117a115a112a111a176a225a100a97a110a233 a112a165a116a105a99a101 a122 a112a165a116a105
a112a114a118a107a183a46 a84a237a109 a115a101 a100a111a115a116a225a118a225a109a101 a107 a116a122a118a46 a112a101a114a109a117a116a97a99a237a109a46 a68a176a237a118a101a44 a110a101a186 a106a101 a98a117a100a101a109a101 a100a101a28a110a111a118a97a116a44 a112a176a105a112a111a109a101a172a109a101
a112a114a111 a106a105a115a116a111a116a117 a112a111a106a101a109a44 a107a116a101a114a253 a115 a112a101a114a109a117a116a97a99a101a109a105 a250a122a99a101 a115a111a117a118a105a115a237a46
a70a97a107a116a111a114a105a225a108
a74a101a45a108a105 n a112a176a105a114a111a122a101a110a233 a163a237a115a108a111a44 a112a97a107 a115a121a109a98a111a108a101a109 n! a40a163a116a101a110a111 a18a110 a102a97a107a116a111a114a105a225a108a16a41 a114a111a122a117a109a237a109a101 a115a111a117a163a105a110 a118a178a101a99a104
a112a176a105a114a111a122a101a110a253a99a104 a163a237a115a101a108 a111a100 a49 a100a111 a110a58
n! = n·(n−1)···1
a83a112a101a99a105a225a108a110a165 a115a101 a100a101a28a110a117a106a101
0! = 1a46
a86a253a115a108a101a100a101a107 a112a176a101a100a99a104a111a122a237a104a111 a112a176a237a107a108a97a100a117 a115a101 a116a101a100a121 a109a111a104a108 a122a97a112a115a97a116 a106a97a107a111 5!a46
a54 a70a97a107a117a108a116a97 a101a108a101a107a116a114a111a116a101a99a104a110a105a107a121 a97 a107a111a109a117a110a105a107a97a163a110a237a99a104 a116a101a99a104a110a111a108a111a103a105a237 a86a85a84 a118 a66a114a110a165
a80a101a114a109a117a116a97a99a101
a80a101a114a109a117a116a97a99a101 a106a115a111a117 a117a115a112a111a176a225a100a97a110a233 na45a116a105a99a101 a118a121a98a237a114a97a110a233 a122 n a112a114a118a107a111a118a233 a109a110a111a186a105a110a121a44 a112a176a105a163a101a109a186 a106a101a100a110a111a116a108a105a118a233
a112a114a118a107a121 a115a101 a110a101a115a109a237 a111a112a97a107a111a118a97a116a46
a80a111a163a101a116 a112a101a114a109a117a116a97a99a237 a122 n a112a114a118a107a183 a40a110a101a98a111a108a105 a112a111a163a101a116 a118a178a101a99a104 a109a111a186a110a253a99a104 a112a176a101a115a107a117a112a101a110a237 n a112a114a118a107a183a41 a106a101
n·(n−1)···1 = n!
a78a121a110a237 a122a107a117a115a237a109a101 a111 a110a165a99a111 a111a98a116a237a186a110a165a106a178a237 a118a97a114a105a97a110a116a117 a112a176a237a107a108a97a100a117 a115 a110a225a118a178a116a165a118a110a237a107a121 a107a105a110a97a46
a80a176a237a107a108a97a100 a49a46a55 a83a101a100a109 a112a176a225a116a101a108a44 a163a116a121a176a105 a99a104a108a97a112a99a105 a97 a116a176a105 a100a237a118a107a121a44 a115a105 a107a111a117a112a105a108a111 a108a237a115a116a107a121 a100a111 a107a105a110a97a46 a67a104a116a165a106a237 a115a101
a114a111a122a101a115a97a100a105a116 a116a97a107a44 a97a98a121 a99a104a108a97a112a99a105 a97 a100a237a118a107a121 a115a101a100a165a108a105 a115a116a176a237a100a97a118a165a46 a75a111a108a105a107 a109a97a106a237 a109a111a186a110a111a115a116a237a44 a106a97a107 a116a111 a117a100a165a108a97a116a63
a144a101a178a101a110a237a58 a78a97 a112a111a163a101a116 a109a111a186a110a253a99a104 a114a111a122a101a115a97a122a101a110a237 a115a101 a100a225 a112a176a105a106a237a116 a118a237a99a101 a122a112a183a115a111a98a121a46 a77a183a186a101a109a101 a115a105 a110a97a112a176a237a107a108a97a100 a176a237a99a116a44
a186a101 a112a114a118a110a237 a115a101a100a97a100a108a111 a109a117a115a237 a111a98a115a97a100a105a116 a110a165a107a116a101a114a253 a122a101 a163a116a121a176 a99a104a108a97a112a99a183a46 a75a101 a107a97a186a100a233 a122 a116a165a99a104a116a111 a163a116a121a176 a109a111a186a110a111a115a116a237
a109a225a109a101 a51 a109a111a186a110a111a115a116a105a44 a106a97a107 a111a98a115a97a100a105a116 a100a114a117a104a233 a115a101a100a97a100a108a111 a110a165a107a116a101a114a111a117 a122 a100a237a118a101a107a46 a75a101 a107a97a186a100a233 a122 a118a253a115a108a101a100a110a253a99a104 4·3
a109a111a186a110a111a115a116a237 a112a114a111 a112a114a118a110a237 a100a118a165 a115a101a100a97a100a108a97 a109a225a109a101 a51 a109a111a186a110a111a115a116a105a44 a106a97a107 a111a98a115a97a100a105a116 a116a176a101a116a237 a115a101a100a97a100a108a111 a110a165a107a116a101a114a253a109 a122a101
a122a98a253a118a97a106a237a99a237a99a104 a99a104a108a97a112a99a183a44 a97a116a100a46 a84a237a109a116a111 a122a112a183a115a111a98a101a109 a100a111a115a116a225a118a225a109a101 a118a253a115a108a101a100a101a107 a118a101 a116a118a97a114a117 4·3·3·2·2·1·1 = 144a46
a75 a116a233a109a117a186 a118a253a115a108a101a100a107a117 a115a101 a97a108a101 a109a183a186a101a109a101 a100a111a115a116a97a116 a105 a116a97a107a44 a186a101 a115a105 a176a101a107a110a101a109a101a44 a186a101 a117a114a163a105a116a225 a52 a115a101a100a97a100a108a97 a106a115a111a117
a118a121a104a114a97a122a101a110a97 a99a104a108a97a112a99a183a109a46 a84a105 a106a101 a109a111a104a111a117 a111a98a115a97a100a105a116 4! = 24 a122a112a183a115a111a98a121a46 a75a101 a107a97a186a100a233a109a117 a122 a116a165a99a104a116a111 a50a52 a122a112a183a115a111a98a183
a114a111a122a101a115a97a122a101a110a237 a99a104a108a97a112a99a183 a109a225a109a101 3! a114a111a122a101a115a97a122a101a110a237 a100a237a118a101a107 a110a97 a51 a115a101a100a97a100a108a97a44 a107a116a101a114a225 a106a115a111a117 a106a105a109 a118a121a104a114a97a122a101a110a97a46 a84a111
a100a225a118a225 a99a101a108a107a101a109 4!·3! = 24·6 = 144 a109a111a186a110a111a115a116a237a46
a68a114a117a104a253 a122 a112a111a115a116a117a112a183 a112a176a101a100a118a101a100a101a110a253a99a104 a118 a116a111a109a116a111 a112a176a237a107a108a97a100a117 a112a111a117a186a105a106a101a109a101 a110a121a110a237a46
a80a176a237a107a108a97a100 a49a46a56 a75a111a108a105a107 a114a183a122a110a253a99a104 a115a108a111a118 a115a101 a100a225 a115a101a115a116a97a118a105a116 a122a101 a118a178a101a99a104 a112a237a115a109a101a110 a115a108a111a118a97 a65a78a65a78a65a83a63 a40a83a108a111a118a101a109
a122a100a101 a114a111a122a117a109a237a109a101 a108a105a98a111a118a111a108a110a233 a112a176a101a115a107a117a112a101a110a237 a122a97a100a97a110a253a99a104 a112a237a115a109a101a110a59 a118a253a122a110a97a109 a116a97a107a111a118a233a116a111 a18a115a108a111a118a111a16 a109a237a116 a110a101a45
a109a117a115a237a46a41
a144a101a178a101a110a237a58 a77a225a109a101 a107 a100a105a115a112a111a122a105a99a105 a54 a112a237a115a109a101a110a44 a122 a110a105a99a104a186 a110a165a107a116a101a114a225 a115a101 a111a112a97a107a117a106a237a46 a75a100a121a98a121 a118a178a101a99a104a110a97 a112a237a115a109a101a110a97
a98a121a108a97 a110a97a118a122a225a106a101a109 a114a183a122a110a225a44 a111a100a112a111a118a165a164 a110a97 a111a116a225a122a107a117 a98a121 a98a121a108a97 a106a101a100a110a111a100a117a99a104a225a46 a80a114a111a116a111 a98a117a100a101a109a101 a112a114a111 a122a97a163a225a116a101a107
a112a111a118a97a186a111a118a97a116 a106a101a100a110a111a116a108a105a118a225 a65 a97 a78 a122a97 a114a183a122a110a225 a112a237a115a109a101a110a97 a21 a115a108a111a118a111 a98a121 a112a97a107 a109a111a104a108a111 a118a121a112a97a100a97a116 a110a97a112a176a46 a65a78a97a110a97a83a46
a77a225a109a101 6! a109a111a186a110a111a115a116a237a44 a106a97a107 a116a121a116a111 a122a110a97a107a121 a112a176a101a115a107a117a112a105a116a46 a79a118a178a101a109 a110a165a107a116a101a114a225 a122 a116a165a99a104a116a111 a112a176a101a115a107a117a112a101a110a237 a106a115a111a117 a118a101
a115a107a117a116a101a163a110a111a115a116a105 a116a111a116a111a186a110a225a46 a78a97a112a176a46 a65a83a110a97a78a97 a106a101 a116a111a116a233a186 a115a108a111a118a111 a106a97a107a111 a97a83a78a97a110a65a46 a86a178a101a99a104 6! a112a176a101a115a107a117a112a101a110a237 a112a114a111a116a111
a109a183a186a101a109a101 a114a111a122a100a165a108a105a116 a100a111 a110a165a107a111a108a105a107a97 a40a122a97a116a237a109 a110a101a118a237a109a101 a107a111a108a105a107a97 a21 a116a101a110a116a111 a112a111a163a101a116 a106a101 a112a114a225a118a165 a250a107a111a108a101a109 a122a106a105a115a116a105a116a41
a115a107a117a112a105a110a44 a107a116a101a114a233 a115a101 a115a107a108a225a100a97a106a237 a118a186a100a121 a122a101 a115a116a101a106a110a253a99a104 a115a108a111a118a46 a75a100a121a98a121a99a104a111a109 a116a111 a110a97a112a176a46 a98a114a97a108a105 a112a111a100a108a101 a97a98a101a99a101a100a121a44
a118 a112a114a118a110a237 a115a107a117a112a105a110a165 a98a121 a98a121a108a97 a115a108a111a118a97 a65a97a97a78a110a83a44 a97a65a97a110a78a83a44 a46a46a46a44 a118a101 a100a114a117a104a233 a65a97a97a78a83a110a44 a97a65a97a110a83a78a44 a46a46a46a44
a97a116a100a46
a90a107a111a117a109a101a106a109a101 a110a121a110a237a44 a107a111a108a105a107 a112a114a118a107a183 a109a225 a112a114a118a110a237 a115a107a117a112a105a110a97 a40a65a65a65a78a78a83a41a46 a74a101 a116a111 a112a111a100a111a98a110a253 a250a107a111a108 a106a97a107a111
a118 a112a176a237a107a108a97a100a117 a49a46a55a46 a80a114a111 a114a111a122a109a237a115a116a165a110a237 a116a176a237 a114a183a122a110a253a99a104 a112a237a115a109a101a110 a65 a110a97 a112a114a118a110a237a99a104 a116a176a101a99a104 a109a237a115a116a101a99a104 a115a108a111a118a97 a109a225a109a101
3! a109a111a186a110a111a115a116a237a46 a75a101 a107a97a186a100a233 a122 a116a165a99a104a116a111 a109a111a186a110a111a115a116a237 a106a115a111a117 a112a97a107 2 a40a110a101a98a111a44 a99a104a99a101a109a101a45a108a105a44 2!a41 a109a111a186a110a111a115a116a105a44 a106a97a107
a117a115a112a111a176a225a100a97a116 a100a118a165 a114a183a122a110a225 a112a237a115a109a101a110a97 a78 a110a97 a100a97a108a178a237a99a104 a100a118a111a117 a109a237a115a116a101a99a104a46 a80a111a115a108a101a100a110a237 a83 a106a101 a112a97a107 a117a109a237a115a116a165a110a111 a112a101a118a110a165a46
a67a101a108a107a101a109 a116a101a100a121 a106a101 3! · 2! a115a108a111a118 a40a115a101 a122a97a116a237a109 a114a111a122a108a105a178a105a116a101a108a110a253a109a105 a65 a97 a78a41a44 a107a116a101a114a225 a100a225a118a97a106a237 a115a108a111a118a111 a65a65a65a78a78a83a46
a83a116a101a106a110a253a109 a122a112a183a115a111a98a101a109 a98a121a99a104a111a109 a100a111a115a112a165a108a105 a107 a116a111a109a117a44 a186a101 a118 a107a97a186a100a233 a122 a111a115a116a97a116a110a237a99a104 a115a107a117a112a105a110 a106a101 a116a97a107a233 3! · 2!
a115a108a111a118a46 a75a100a121a186 a115a105a116a117a97a99a105 a122a114a101a107a97a112a105a116a117a108a117a106a101a109a101a44 a118a105a100a237a109a101a44 a186a101 a109a225a109a101 a99a101a108a107a101a109 6! a115a108a111a118 a114a111a122a100a165a108a101a110a253a99a104 a100a111 a115a107a117a112a105a110a46
a86 a107a97a186a100a233 a115a107a117a112a105a110a165 a106a101 3!·2! a115a108a111a118a46 a80a111a163a101a116 a115a107a117a112a105a110 a110a101a98a111a108a105 a112a111a163a101a116 a114a183a122a110a253a99a104 a115a108a111a118 a115a101a115a116a97a118a105a116a101a108a110a253a99a104 a122 a112a237a115a109a101a110
a65a78a65a78a65a83 a106a101 a116a101a100a121
6!
3!·2! =
6·5·4·3·2·1
3·2·1·2·1 = 60.
a77a97a116a101a109a97a116a105a107a97 a51 a55
a79a98a101a99a110a165a44 a122a107a111a117a109a225a109a101a45a108a105 a112a176a101a115a107a117a112a101a110a237 n a112a176a101a100a109a165a116a183a44 a122 a110a105a99a104 a110a165a107a116a101a114a233 a115a101 a111a112a97a107a117a106a237a44 a109a108a117a118a237a109a101 a111 a112a101a114a45
a109a117a116a97a99a237a99a104 a115 a111a112a97a107a111a118a225a110a237a109a46 a75a101 a118a122a111a114a99a105 a112a114a111 a106a101a106a105a99a104 a99a101a108a107a111a118a253 a112a111a163a101a116 a98a121a99a104a111a109 a100a111a115a112a165a108a105 a115a116a101a106a110a111a117 a250a118a97a104a111a117
a106a97a107a111 a118 a112a176a101a100a99a104a111a122a237a109 a112a176a237a107a108a97a100a117a46
a80a101a114a109a117a116a97a99a101 a115 a111a112a97a107a111a118a225a110a237a109
a80a101a114a109a117a116a97a99a101 a115 a111a112a97a107a111a118a225a110a237a109 a106a115a111a117 a112a101a114a109a117a116a97a99a101 a115a101a115a116a97a118a111a118a97a110a233 a122 n a112a114a118a107a111a118a233 a109a110a111a186a105a110a121a44 a118a101 a107a116a101a114a233 a106a101
n1 a112a114a118a107a183 a112a114a118a110a237a104a111 a100a114a117a104a117a44 n2 a112a114a118a107a183 a100a114a117a104a233a104a111 a100a114a117a104a117a44 a46a46a46a44 nk a112a114a118a107a183 ka45a116a233a104a111 a100a114a117a104a117a44 a107a100a101
n1 + n2 +···+ nk = na46 a74a101a106a105a99a104 a112a111a163a101a116 a106a101
n!
n1!·n2!···nk! .
a80a176a237a107a108a97a100 a49a46a57 a77a225a109a101 a98a97a108a237a163a101a107 a51a50 a114a183a122a110a253a99a104 a107a97a114a101a116a46 a72a114a225a163 a100a111a115a116a97a110a101 a53 a107a97a114a101a116a46 a75a111a108a105a107 a106a101 a109a111a186a110a111a115a116a237 a112a114a111
a116a117a116a111 a112a165a116a105a99a105a63 a40a78a101a122a225a108a101a186a237 a110a97 a116a111a109a44 a118 a106a97a107a233a109 a112a111a176a97a100a237 a98a121a108a121 a107a97a114a116a121 a114a111a122a100a225a110a121a46 a90a225a108a101a186a237 a112a111a117a122a101 a110a97 a116a111a109a44
a107a116a101a114a233 a107a97a114a116a121 a104a114a225a163 a100a111a115a116a97a108a46a41
a144a101a178a101a110a237a58 a75a100a121a98a121 a110a97 a112a111a176a97a100a237 a107a97a114a101a116 a122a225a108a101a186a101a108a111a44 a98a121a108a105 a98a121a99a104a111a109 a118a101 a115a116a101a106a110a233 a115a105a116a117a97a99a105
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