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Question

A car will hold two persons in the front seat and 1 in the rear seat. If among six persons only two can drive, the number of ways, in which the car can be filled is :

A
10
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B
18
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C
20
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D
40
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Solution

The correct option is D 40
No. of drivers=2
So,the drivers seat can be filled in 2C1 ways i.e, 2
Now, out of the remaining persons =4+1=5,
5 persons has to arrange in 2 vacant seats which can be done in 5P2 ways
Total number of ways= 2× 5P2=40

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