solutions Mathematics for Algorithm and System Analysis by E.A. Bender and S.G. Williamson

# Solutions Mathematics for Algorithm and System Analysis by E.A. Bender and S.G. Williamson

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Solutions for Basic Counting and Listing CL-1.7 To form a composition of n , we can write n ones in a row and insert either “ ” or “,” in the spaces between them. This is a series of 2 choices at each of n 1 spaces, so we obtain 2 n 1 compositions of n . The compositions of 4 are 4 = 3 1 = 2 2 = 2 1 1 = 1 3 = 1 2
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