What happens to the expected number of kinds of candy, Mathematics

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What happens to the expected number of kinds of candy

Again as in the previous exercise, we have c children choosing from among ample supplies of d different kinds of candy, one package for each child, and all choices equally likely. What is the probability that a given variety of candy is chosen by no child? What is the expected number of kinds of candy chosen by no child? Suppose now that c = d. What happens to the expected number of kinds of candy chosen by no child?

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