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Slika - Shrani.si

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A. Juriˇ<strong>si</strong>ć in V. Batagelj: Verjetnostni račun in statistika 86<br />

✬<br />

✫<br />

Kombinacije<br />

Binomski koeficient oz. ˇstevilo kombinacij, tj. ˇstevilo m-elementnih<br />

podmnoˇzic mnoˇzice moči n, je<br />

<br />

n<br />

=<br />

m<br />

n · (n − 1) · · · (n − m + 1) n!<br />

=<br />

1 · 2 · · · m<br />

m!(n − m)! ,<br />

saj lahko prvi element izberemo na n načinov,<br />

drugi na n−1 načinov, . . . ,<br />

zadnji na n−m+1 načinov,<br />

ker pa vrstni red izbranih elementov ni pomemben,<br />

dobljeno ˇstevilo ˇse delimo s ˇstevilom permutacij).<br />

Univerza v Ljubljani ▲<br />

❙ ▲<br />

▲<br />

▲<br />

● ❙ ▲<br />

▲<br />

☛ ✖<br />

✩<br />

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