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Q.

A boat is to be manned by 9 crew with 4 on the stroke side, 4 on the row side and one to steer. There are 11 men of which 2 can stroke only and 1 can row only while 3 can steer only. The number of ways the crew can be arranged for the boat is 

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a

17280

b

10

c

30

d

44

answer is D.

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Detailed Solution

One person for steering can be selected from 3 persons in 3C1 ways.

In the remaining 8 people

One person who can row only is to be allotted row side

2  person who can stroke only is to be allotted row side

Now 5 people are remaining.

3 persons to be allotted to row side

2 persons to be allotted stroke side

Total Number of arrangement =3C1×5C3×4!×4!

                                               =3(10)24×24=17280

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