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

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 = (N!)/((N - K)!*K!)`

Here N = 12 and K = 3

`C = (12!)/(9!*3!) = (12*11*10)/(3*2) = 220`

So there are 220 possible combinations