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How many ordered quadruples (x1, x2, x3, x4) of positive integers satisfy the conditions x1 <...

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How many ordered quadruples (x1, x2, x3, x4) of positiveintegers satisfy the conditions x1 < x2 < x3 < x4 < 15and xi+1 − xi ≥ i for each i = 1, 2, 3.

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