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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?
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What do you mean by "but not 1 boy"? do you mean either no boys or at least 2 boys?
You can't pick a certain boy, so the pool in that case would have 5 boys!
too ambiguous. What does "have a girl" mean? at least one? exactly one?
You have to have at least one girl on the council.
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) <--
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