A student council of 5 members is to be formed from a selection pool of 6 boys and 8 girls. How many councils can have a girl, but not 1 boy?

Question

anonymous · Answer

What do you mean by "but not 1 boy"? do you mean either no boys or at least 2 boys?

anonymous · Answer

You can't pick a certain boy, so the pool in that case would have 5 boys!

anonymous · Answer

too ambiguous. What does "have a girl" mean? at least one? exactly one?

anonymous · Answer

You have to have at least one girl on the council.

anonymous · Answer

so you have 5 boys and 8 girls. Total possible combination of 5 committees is (13C5)

the compliment of at least 1 girl si no girl. That is (5C5)

so, (13C5) - (5C5) <--