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Find the number of solutions of e1+e2+e3 = 17, where e1,e2,e3 are integers such that 2 e1 5, 3 e2 6

Find the number of solutions of e1+e2+e3 = 17, where e1,e2,e3 are integers such that 2 ≤ e1 ≤ 5, 3 ≤ e2 ≤ 6 and 4 ≤ e3 ≤ 7.

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