You can
put this solution on YOUR website! A committee of 5 people is going to be chosen from a group of 8 women and 10
men.There are 18 people choose 5 committee members. that's 18C5 = 8568 ways to
select a committee of 5 people.
How many different committees are possible if the committee must contain at
least 1 woman and at least 1 man?From the 8568 ways to choose 5 people, we must eliminate and subtract those
which
1. contain only women. That's 8 women choose 5 or 8C5=56
2. contain only men. That's 10 men choose 5 or 10C5=252
That's 56+252=308 that we must subtract from the 8568.
Answer = 8568-308 = 8260.
Edwin