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Q.

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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a

1560

b

1250

c

1440 

d

1360 

answer is C.

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Detailed Solution

The 2 women can choose the seats marked from 

1 to 4 in  4P2=12 ways

The 3 men can choose from the remaining 6 seats in  6p3

= 120 ways

∴ The desired number= 12 x 120 = 1440. 

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