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Double check my math please.

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"There are four men with one coat each, How many combos can be made without them getting the RIGHT coat, And without repeating combinations..."

So that means automatically, 4 possibles are knocked off, Also for my final answer doing it by hand. And pairing them up one by one, I came to the conclusion there is only 7 possibles... I did this.. V The people. The coats come after the people's names. 1 2 3 4 2 3 4 1 3 4 1 2 4 1 2 3

So the first four numbers going down represent the people, Then the numbers opposite them in the row equal the person's coat they are holding... I kept going and managed only 7... ( I just gave you three of the possibles... So.. :D )