Question

How many ways can a committee of 4 be selected from a club with 12 members?

Answer 1

Answer:

495 ways

Explanation:

Since the order does not matter, the problem is more of a combination problem rather than a permutation problem. It is important to note that  Permutation problems most of the time deal with arrangement, while combination problems deal with selection.

in this problem, we are selecting 4 people out of 12 people.

thus we have  $12C_{4} =\frac{12!}{(12-4)!\times 4!} =495$

the number pf ways that a committee of 4 be selected from a club with 12 members is 495 ways.