There are 5 boys and 6 girls in a class. A committee of three students is to be made such that there is a boy and a girl on the comittee. In ho w many ways can the committe be selected?
Let's make sure that there is at least one boy and one girl on the comittee. So far we can have 5*6 possibilities
Then we can choose any of the 9 other people
Calculate 5*6*9 to get the answer.
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:P