group of 5 people each bring an unwrapped gift for a holiday gift exchange. The elves come and secretly wrap the gifts, so nobody knows who brought which gift. Santa Claus randomly passes one gift out to each of the 5 people. What is the probability that every person receives the same gift they brought?

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A group of 5 people each bring an unwrapped gift for a holiday gift exchange. The elves come and secretly wrap the gifts, so nobody knows who brought which gift. Santa Claus randomly passes one gift out to each of the 5 people.

What is the probability that every person receives the same gift they brought?

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