Guichard-Combinatorics-Graph-Theory · Problem 3.1.4

Generating Functions

Mathematics — Probability · generating-functions-counting

Problem

Use a generating function to find the number of solutions to x1+x2+x3+x4=14x_1 + x_2 + x_3 + x_4 = 14, where 0≤x1≤30 \leq x_1 \leq 3, 2≤x2≤52 \leq x_2 \leq 5, 0≤x3≤50 \leq x_3 \leq 5, 4≤x4≤64 \leq x_4 \leq 6.

Related theory

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