Tanya prepared 5 different letters to 5 different addresses

Tanya prepared 5 different letters to 5 different addresses. For each letter, she prepared one envelope with its correct address. If the 5 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?

Its source gives only the correct option, without the working.

AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #32749