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Algebra Universalis (special Rota
memorial issue), 49, 2003, p. 387-395

# Dominique Foata, Doron Zeilberger

# The Collector's Brotherhood
Problem Using the Newman-Shepp Symbolic Method

**Abstract.**Further computations are made on the traditional
coupon collector's problem when the collector shares his harvest with his
younger brothers. When the book of the p-th brother of the
collector is completed, the books of the younger brothers have
certain numbers of empty spots. On the average, how many?
Several answers can be brought to that question.

foata@math.u-strasbg.fr, zeilberg@math.rutgers.edu

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