# Lukion taulukot/Binomikertoimet

Siirry navigaatioon Siirry hakuun

#### Binomikertoimet

${\displaystyle {\binom {n}{k}}={\frac {n\left(n-1\right)\left(n-2\right)\ldots \left(n-\left(k-1\right)\right)}{k!}}={\frac {n!}{k!\left(n-k\right)!}}}$

${\displaystyle n}$ ${\displaystyle {\binom {n}{0}}}$ ${\displaystyle {\binom {n}{1}}}$ ${\displaystyle {\binom {n}{2}}}$ ${\displaystyle {\binom {n}{3}}}$ ${\displaystyle {\binom {n}{4}}}$ ${\displaystyle {\binom {n}{5}}}$ ${\displaystyle {\binom {n}{6}}}$ ${\displaystyle {\binom {n}{7}}}$ ${\displaystyle {\binom {n}{8}}}$
1 1 1
2 1 2 1
3 1 3 3 1
4 1 4 6 4 1
5 1 5 10 10 5 1
6 1 6 15 20 15 6 1
7 1 7 21 35 35 21 7 1
8 1 8 28 56 70 56 28 8 1