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Q.

A car will hold 2 in the front seat and 1 in the rear seat. If among 6 persons 2 can drive, then number of ways in which the car can be filled, is

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a

10

b

20

c

30

d

None of these

answer is B.

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Detailed Solution

Since, 2 persons can drive the car, therefore we have to select 1 from these two. This can be done in  2C1, ways.Now, from the remaining 5 persons we have to select 2 which can be done in  5C2 ways.Therefore, the required number of ways in which the carcan be called =5C2×2C1=10×2=20
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