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Mathematics – Probability

Scientific paper

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Improves upon the previous version, e.g. the stated theorem is proven and the numbers Card(r,k) are calculated more elegantly

Scientific paper

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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