Kombinační čísla
Urči hodnotu kombinačních čísla:
\large {3}\choose{2}
\large {{3}\choose{2}} = \Large \frac{3!}{2!\cdot \left( 3-1\right) !}\large = \Large \frac{3\cdot 2!}{2!}\large = 6
\large {{3}\choose{2}} = \Large \frac{3!}{3!\cdot \left( 3-2\right) !}\large = \Large \frac{3\cdot 3!}{3!}\large = 1
\large {{3}\choose{2}} = \Large \frac{3!}{1!\cdot \left( 3-2\right) !}\large = \Large \frac{3\cdot 1!}{1!}\large = 3
\large {{3}\choose{2}} = \Large \frac{3!}{2!\cdot \left( 3-2\right) !}\large = \Large \frac{3\cdot 2!}{2!}\large = 3