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In: Advanced Math

A composition of n is made by breaking n down into summands. For example, the compositions...

A composition of n is made by breaking n down into summands. For example, the compositions of 3 are {3}. {2 + 1}, {1 + 2}, {1 + 1 + 1}. In general, there are 2^(n-1) compositions of n. Prove that there are 3^(n-1) double compositions of n.

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