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Coupons collecting with or without replacement, and with multipurpose coupons

Published 7 Jul 2011 in math.PR and cs.DM | (1107.1401v3)

Abstract: The classic Coupon-Collector Problem (CCP) is generalized to the extent that each coupons serves certain "purposes". Only basic probability theory is used. Centerpiece rather is an algorithm that efficiently counts all $k$-element transversals of a set system.

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