Объяснение:
[tex]1)\ C_{10}^4=\frac{10!}{(10-4)!*4!} =\frac{6!*7*8*9*10}{6!*1*2*3*4}=7*3*10=210. \\2)\ C_8^3=\frac{8!}{(8-3)!*3!}=\frac{5!*6*7*8}{5!*1*2*3} 7*8=56.\\3)\ C_7^5=\frac{7!}{(7-5)!*5!}=\frac{5!*6*7}{2!*5!}=\frac{6*7}{1*2}=3*7=21.\\ 4)\ C_5^3=\frac{5!}{(5-3)!*3!}=\frac{3!*4*5}{2!*3!}=\frac{4*5}{1*2}=2*5=10.[/tex]
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Объяснение:
[tex]1)\ C_{10}^4=\frac{10!}{(10-4)!*4!} =\frac{6!*7*8*9*10}{6!*1*2*3*4}=7*3*10=210. \\2)\ C_8^3=\frac{8!}{(8-3)!*3!}=\frac{5!*6*7*8}{5!*1*2*3} 7*8=56.\\3)\ C_7^5=\frac{7!}{(7-5)!*5!}=\frac{5!*6*7}{2!*5!}=\frac{6*7}{1*2}=3*7=21.\\ 4)\ C_5^3=\frac{5!}{(5-3)!*3!}=\frac{3!*4*5}{2!*3!}=\frac{4*5}{1*2}=2*5=10.[/tex]