Question

find the number of ways of choosing a school team of 5 pupils from 6 boys and 8 girls if 3 of the boys are cousins are either on the team or all not in the team.

Answer 1

Case 1: all the cousins are on the team ---> leaves 2 more to choose from the remaining 11 students = C(11,2) = 55

Case 2: none of the cousins are on the team --- leaves 5 to choose from the remaining 11 students = C(11,5) = 462

add them up

Answer 2

1316