A class of 22 students consists of 12 girls and 10 boys. A committee of five students is being

chosen from this class to plan a school event. Determine the number of 5 student committees that can be formed if:

a. the five students are chosen at random

b. the committee must consist of 3 girls and 2 boys

c. the committee must have 4 boys

d. the committee must have 1 or 2 girls.

e. Sam and Jordan must be on the committee, and the remaining students are randomly

selected.

f. there must be at least one boy on the committee