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Each of 2 women and 3 men is to occupy one chair out of 8 chairs, each of which is numbered from 1 to 8. First, women are to occupy any two chairs from those numbered 1 to 4; and then 3 men would occupy any three chairs out of the remaining 6 chairs. What is the maximum number of different ways in which this can be done?

(a)

40

(b)

132

(c)

1440

(d)

3660

Correct Answer

(d)

Explanation

There are 3660 ways to arrange 2 women and 3 men in the specified chairs.