There are: . possible committees.A club consists of 25 married couples.
Determine how many ways a committee of 7 people can be formed from these couples if:
c) at least one person must be a man.
The opposite of "at least one man" is "no men" (all women).
There are: . all-women committees.
. . Hence, the rest must contain at least one man.
Answer: . committees with at least one man.
There are three cases: .d) there must be at least 3 women and at least 2 men.
Answer: . committees.