College Algebra & Trigonometry, 2018a

7.3. PERMUTATIONS AND COMBINATIONS 319
16) Fifteen boys and 12 girls are on a camping trip. How many ways can a
group of seven be selected to gather firewood:
a) with no conditions
b) the group contains four girls and three boys
c) the group contains at least four girls
17) A class of 25 students is comprised of 15 girls and 10 boys. In how many
ways can a committee of 8 students be selected if:
a) there are no restrictions
b) no males are included on the committee
c) no females are included on the committee
d) the committee must have 5 boys and 3 girls
18) From a group of 12 male and 12 female tennis players, two men and two
women will be chosen to compete in a men-vs-women doubles match. How
many different matches are possible?
19) In a seventh-grade dance class, there are 20 girls and 17 boys.
a) How many ways can the students be paired off to create dance couples
consisting of one boy and one girl?
b) How many ways are there to create a group of 17 boy/girl couples?
c) How many ways are there to create a group of 18 couples without
restrictions?