Question

In how many different ways can a ski club consisting of 15 people selected a team for national championship? There are 4 spots available on the team going to national championship.

Answer 1

Explanation:

Combination has to selection. When selecting 4 people out of a pool of 15 people, this can be done as thus according to combination formuka:

15C4 = 15!/(15-4)!4!

15C4 = 15!/11!4!

15C4 = 15*14*13*12*11!/11!*4*3*2

15C4 = 15*14*13*12/24

15C4 = 32760/24

15C4 = 1365 different ways.

Hence this can be done in 1365 different ways