N boys and N girls go out to dance. In how many ways can they all dance (boys must dance with girls)? 💃🏻 🕺🏻
N!
1st boy has N possibilities for choosing a girl, then
2nd boy has N-1 possibilities for choosing a girl, then
...
nth boy has just 1 girl left to dance with.
Seemingly there are N(N−1)(N−2)...1=N! possible combinations.
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