Combinatorics Intermediate Challenges-II

A postman has to deliver four letters to four different houses in a street. Unfortunately the rain has erased the addresses, so he just distributes them randomly, one letter per house. What is the probability that every house gets the wrong letter (you should express it as a percentage)?

This problem is not original. It is roughly the level of difficulty of a standard problem from the Intermediate Challenge.This problem is part of this set.

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