Q.

A boat’s crew consists of 8 men, 3 of whom can only row on one side, 2 only on the other. The number of ways the crew can be arranged.

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a

1728

b

 9C5

c

17×9!

d

 12C8

answer is A.

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Detailed Solution

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Let A, B, C, C, D, E, F, G, H be the crew.

Let A, B, C can row on one side and GH can row on other side

Remaining 3 should be divided into 2 groups containing 1, 2 in 3!2! . 1!=3 ways.

After distribution crew can be arranged 4 on each side in 4!×4! Ways.

No of ways =3×4!×4!=3×24×24=1728

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