2. A club has seven members. Three are to be chosen as a group to a national meeting. A) How many distinct groups of three can be chosen? B) If the club contains four men and three women, how many...

2. A club has seven members. Three are to be chosen as a group to a national meeting.

A) How many distinct groups of three can be chosen?

B) If the club contains four men and three women, how many distinct groups
of three contain two men and one woman?

c) If the club contains four men and three women, how many distinct groups
of three contain at least one woman?