Question

Choose the expression that is equal to C(17, 6). C(6, 17) C(11, 6) C(17, 11)

Answer 1

Answer: C(17,11)

Step-by-step explanation:

We know that C(m,n) are denote to a binomial coefficient. It is the number of ways of selecting n unordered outcomes from n possibilities.

The value of the binomial coefficient for non-negative m and n is given by:-

$C(m,n)=\frac{m!}{n!(m-n)!}$

$C(17,6)=\frac{17!}{(17-6)!6!}=\frac{17!}{11!6!}$

$C(6,17)=\frac{6!}{(6-17)!17!}=\frac{6!}{(-11)!17!}$, which is not defined value.

$C(11,6)=\frac{11!}{(11-6)!6!}=\frac{11!}{5!6!}\neqC(17,6)$

$C(17,11)=\frac{17!}{(17-11)!11!}=\frac{17!}{6!11!}=C(17,6)$

Answer 2

The answer is (17,11)