Q:

Choose the correct definition of (n/k) from belowA. k!/n!(n-k)!B. n!/(n-k)!C. n!/k!(n-k)!D. n!/k!(k-n)!

Accepted Solution

A:
Answer:C. Β [tex]\frac{n!}{k!(n-k)!}[/tex]Step-by-step explanation:We know that a combination is a collection of the items where the order doesn't matter. It is a way to calculate the total outcomes of an event where order of the outcomes does not matter. It is denoted by C(n,k) or (n,k) or (n/k).The formula for the number of combinations of n things taken r at a time is given by :-[tex]C(n,k)=(n/k)=\frac{n!}{k!(n-k)!}[/tex]Hence, C is the right option.