Question

In how many ways can a member of a hiring committee select 3 of 12 job applicants for further consideration?

Answer 1

Answer: 220

Step-by-step explanation:

When we wanto to create a group of K elements for a set of N elements (where the order of the K elements does not matter, so we do not considerate the permutations of the K elements), the number of possible combinations is:

$C = \frac{N!}{(N - K)!*K!}$

Here N = 12 and K = 3

$C = \frac{12!}{9!*3!} = \frac{12*11*10}{3*2} = 220$

So there are 220 possible combinations