I come bearing gifts!
Six people come to a party, each bearing five gifts. If each person gives one gift to each of the other five people, how many different ways can the entire set of 30 gifts be distributed at the party?
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The answer is 2985984000000.
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1 solution
Each person can give their gifts out in 5 ! = 1 2 0 ways. Since their are six people, the total number of permutations is 1 2 0 6 = 2 9 8 5 9 8 4 0 0 0 0 0 0