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arxiv: 1107.1401 · v3 · pith:QZA3U7N2new · submitted 2011-07-07 · 🧮 math.PR · cs.DM

Coupons collecting with or without replacement, and with multipurpose coupons

classification 🧮 math.PR cs.DM
keywords couponsalgorithmbasiccenterpiececertainclassiccollectingcounts
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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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