A committee of 5 students is to be selected from 10 students

A committee of 5 students is to be selected from 10 students in a fraternity.

a.In how many ways can this be done?

b. In how many ways can the group that will not take part be chosen?

a.The number of ways to form a5-student committee is ???

b.The group that will not be on the committee can be chosen ???ways.

Solution

a) The number of ways to form a5-student committee = 10C5

(selecting 5 students out of 10)

b)The group that will not be on the committee can be chosen = 1

(after selecting the students for the committee, the left over students will form the group that will not be on the committee which can be done in only 1 way)