SATHEE: Permutations And Combinations Question 43

Permutations And Combinations Question 43

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

Options:

A) 10

B) 20

C) 30

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

Since 2 persons can drive the car, therefore we have to select 1 from these two. This can be done in $ ^{2}C_1 $ ways. Now from the remaining 5 persons we have to select 2 which can be done in $ ^{5}C_2 $ ways. Therefore the required number of ways in which the car can be filled is $ ^{5}C_2{{\times }^{2}}C_1=20 $ .

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Permutations And Combinations Question 43

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

Options:

Answer:

Solution:

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