论文标题

关于秘密圣诞老人仪式中的组合问题

On a combinatorial problem in the Secret Santa ritual

论文作者

Steinicke, Alexander, Penz, Markus, Penz, Bine

论文摘要

秘密的圣诞老人仪式,在一群人中,每个成员都向随机分配的伴侣展示礼物,在考虑成立涉及的概率时会构成一个组合问题,其中两个人相互交换礼物。我们通过计算一定数量的2个循环来计数未定点排列,从而为此类概率提供了不同的推导。

The Secret Santa ritual, where in a group of people every member presents a gift to a randomly assigned partner, poses a combinatorial problem when considering the probabilities involved in the formation of pairs, where two persons exchange gifts mutually. We give different possible derivations for such probabilities by counting fixed-point-free permutations with certain numbers of 2-cycles.

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