Suppose we have 8 children in a classroom and we want to ass

Suppose we have 8 children in a classroom, and we want to assign each of them a \"Secret Santa\". naturally, we don\'t want to assign any kid to be his or her own Santa. how many distinct legal arrangements are there? And now that you\'ve solved the problem for 8, write an expression that solves the problem for n in general. As n gets large, what is the probability that ANY Secret Santa arrangement will be a legal one?

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