Question

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

C(6, 17)
C(11, 6)
C(17, 11)

Answer 1

the answer is (17,11)

Answer 2

Answer: C(17,11)

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)=(m!)/(n!(m-n)!)`

`C(17,6)=(17!)/((17-6)!6!)=(17!)/(11!6!)`

`C(6,17)=(6!)/((6-17)!17!)=(6!)/((-11)!17!)`, which is not defined value.

`C(11,6)=(11!)/((11-6)!6!)=(11!)/(5!6!)\\eqC(17,6)`

`C(17,11)=(17!)/((17-11)!11!)=(17!)/(6!11!)=C(17,6)`