The number of four-digit numbers that can be formed using exactly the digits1, 3, 3, 7

Chapter 2, Problem 17

(choose chapter or problem)

The number of four-digit numbers that can be formed using exactly the digits1, 3, 3, 7 is less than 4!, because the two 3s are indistinguishable. Prove thatthe number of permutations of n objects, m of which are alike, is Generalizeto the case when are alike and others are alike.

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