Question

Decide if the following scenario involves a permutation or combination. Then find the number of possibilities. The student body of 165 students wants to elect 3 representatives

Answer 1

735,130.

Explanation:

The order of election of the 3 representatives does not matter so it is a combination.

The number of possible combinations

= 165! / 162! 3!

= (165 * 164 * 163) / (3*2*1)

= 735,130.