Question: Determine the number of integer solutions for x1 + x2 + x3 + x4 + x5 < 40, where (a) xi 0, 1

Determine the number of integer solutions for
x1 + x2 + x3 + x4 + x5 < 40,
where
(a) xi ≥ 0, 1 ≤ i ≤ 5
(b) xi ≥ - 3, 1 ≤ i ≤ 5

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