Question

Out of 10 men, 3 are wearing red caps, 4 are wearing green caps, and the remaining men are wearing orange caps. They are to be seated in a linear row. If the number of ways they can be arranged such that no more than three men wearing green caps sit next to each other is 'q', find the sum of the squares of each digit of 'q'.

A 144
B 135
C 120
D 163
E None of these
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