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MathNet 2018-part-04 — 181 problems (EN–VI) Question 37

Math Olympiad Vault · MathNet 2018-part-04 — 181 problems (EN–VI)

Question 37

Compute the number of ordered 6-tuples $(a, b, c, d, e, f)$ of positive integers such that
$$
a+b+c+2(d+e+f)=15
$$