Day 24: Deranged Distribution

Santa is running out of time distributing presents to everyone, so he has asked a helper to help him.

However the helper is lazy. When he arrives at a street with seven houses (which each get one present) he randomly throws one unique present into each house (all the presents he throws belong to the houses), And having beginner's luck, he gets at least two presents in the correct houses.

How many ways are there to distribute the presents?

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