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Q.

In a Jeep there are 3 seats in front and 3 in back. Number of different ways can Six persons of different heights be seated in the Jeep so that every one in front is shorter than the person directly behind is 
 

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a

90

b

60

c

54

d

15

answer is A.

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Detailed Solution

Question Image

 Select one seat at back.It can be done in 3C1 ways, now tallest person will occupy this seat 

 and infront of him any one of 5 persons can be seated in 5C1 ways 

 Again select one seat and  repeat process 3C1×5C1×2C1×3C1=90

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