42. Suppose that each coupon obtained is, independent of what has been previously obtained, equally likely to
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42. Suppose that each coupon obtained is, independent of what has been previously obtained, equally likely to be any of m different types. Find the expected number of coupons one needs to obtain in order to have at least one of each type.
Hint: Let X be the number needed. It is useful to represent X by
where each Xi is a geometric random variable.
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