Kombinační číslo 8 nad 5
Urči hodnotu kombinačních čísla:
\large {8}\choose{5}
\large{8{}\choose5{}}=\Large\frac{8!}{5!\cdot\left(8-5\right)!}=\frac{8\cdot7\cdot6\cdot5!}{5!\cdot4}=
\large = \Large \frac{8\cdot 7\cdot 6}{4!}\large = \Large \frac{8\cdot 7\cdot 6}{24}\large = 8\cdot 7 = 56
\large{8{}\choose5{}}=\Large\frac{8!}{5!\cdot\left(8-5\right)!}=\frac{8\cdot6\cdot5!}{5!\cdot3}=
\large = \Large \frac{8\cdot 6}{3!}\large = \Large \frac{8\cdot 6}{6}\large = 8\cdot 6 = 48
\large{8{}\choose5{}}=\Large\frac{8!}{5!\cdot\left(8-5\right)!}=\frac{8\cdot7\cdot6\cdot5!}{5!\cdot3}=
\large = \Large \frac{8\cdot 7\cdot 6}{3!}\large = \Large \frac{8\cdot 7\cdot 6}{6}\large = 8\cdot 7 = 56
\large{8{}\choose5{}}=\Large\frac{8!}{5!\cdot\left(8-5\right)!}=\frac{8\cdot7\cdot5!}{5!\cdot3}=
\large = \Large \frac{8\cdot 7}{3!}\large = \Large \frac{8\cdot 7}{6}\large = 8\cdot 7 = 56