Question 4

$$(a_1, a_2, a_3, a_4, a_5, a_6, a_7)$$ is a set of seven positive integers. Find the number of such 7-element sets of positive integers if $$a_1 \times a_2 \times a_3 = 70$$, $$a_3 \times a_4 \times a_5 = 71$$, and $$a_5 \times a_6 \times a_7 = 72$$.


Correct Answer: 96

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