# Math Help - pleas help. probability.

1. ## pleas help. probability.

How many diff. 3-member comittees can be chosen if the committee cannot have all females or all males?

35 members (15 females & 20 males)
3 member committee: President, VP, Treasurer

back of the book says 29,700.
but i keep getting different answers.

2. Originally Posted by Big-K
How many diff. 3-member comittees can be chosen if the committee cannot have all females or all males?

35 members (15 females & 20 males)
3 member committee: President, VP, Treasurer

back of the book says 29,700.
but i keep getting different answers.

${15 \choose 1} \cdot {20 \choose 2} + {15 \choose 2} \cdot {20 \choose 1} = \, ....$