1. How many different ways can the committee be chosen if

a. there are no restrictions on who is chosen?

b. there must be equal men and women on the

c. the current chairperson must be re-elected to the committee?

d. there must be at least four women on the committee?

1. From a group of twelve people, eight are chosen to serve on a committee.

a. in how many different ways can the committee be chosen?

b. one of the twelve people is called Sarah. what is the probability that she will be on the committee? hint: no. of ways that Sarah is chosen divided by your answer in a letter a.

c. among the twelve people there is one married couple. find the probability that both partners will be chosen?

d. find the probability that the three oldest people will be chosen?

1. Ten books are to be lined up on the shelf

a. how many ways can the books be lined up?

b. if five of the books are identical management science books and two are identical auditing theory books and 3 are identical taxation books, how many ways can they be lined up?

1. A family of eight consisting of a father, mother, 3 boys and 3 girls are to be seated at a round table. how many ways can this be done

a. if there are no restriction?

b. if father and mother sit together?

c. if the males and females alternate? hint: seat one gender then the other gender.