Răspuns:
210 moduri
Explicație pas cu pas:
Se aplica formula combinarilor.
Avem combinari de 10 luate cate 6.
[tex]\displaystyle\\C_{10}^{6} = \frac{10!}{6! \times (10-6)!}[/tex]
[tex]\displaystyle\\C_{10}^{6} = \frac{10!}{6! \times 4!} = \frac{10 \times 9 \times 8 \times 7 \times 6!}{6! \times 4!}[/tex]
[tex]\displaystyle\\C_{10}^{6} = \frac{10 \times 9 \times 8 \times 7}{4!} = \frac{90 \times 8 \times 7}{1 \times 2 \times 3 \times 4}[/tex]
[tex]\displaystyle\\C_{10}^{6}=\frac{630 \times 8}{24}^{(8}[/tex]
[tex]\displaystyle\\C_{10}^{6} = \frac{630}{3} = 210[/tex]
