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Eight chairs are numbered from 1 to 8. Two women and 3 men wish to occupy one chair each. First the women choose the chairs marked 1 to 4 and then the men select from amongst the remaining chairs. The number of seating arrangements is

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1560

1250

1440

1360

answer is C.

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Detailed Solution

The 2 women can choose the seats marked from

1 to 4 in $^{4} P_{2} = 12$ ways

The 3 men can choose from the remaining 6 seats in $^{6} p_{3}$

= 120 ways

$∴$ The desired number= 12 x 120 = 1440.

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