How many ways can Jason sit with his five friends in a row of six seat

Question

How many ways can Jason sit with his five friends in a row of six seats with an aisle on either side of the row, if Jason insists on sitting next to one of the aisles?

A. 120
B. 240
C. 360
D. 540
E. 720

sowragu · Answer

Put Jason the most restrictive class in the second position. Jason can be arranged in one way.

__ 1 __ __ __ __

Next is aisle who has to be placed near jason and combined both of them can be arranged in 5 ways since 5 spots are there.

5 1 __ __ __ __

Remaining 4 places for 3 peoples, which we can arrange as

5 1 4 3 2 __

This will give us 5*1*4*3*2 = 120

But Jason and Asile are interchangable. Hence

1 5 4 3 2 __

2 * 120 = 240

In 240 ways we can arrange.

sameerspice · Answer

Jason can select his seat in 2 Ways (two aisles)
His 1st of 4 friends have 5 seats to select => 
His 2nd of remaining 3 friends will have 4 seat to chose from...and so on

Total ways => 2*5*4*3*2*1 = 240

GMATinsight · Answer

Six seats are _ _ _ _ _ _

Jason can sit on either first seat in 2 way

Remaining 5 people have 5 chairs left so they can sit in 5*4*3*2*1 = 5! = 120 ways

Total ways of all of them to sit = 2*5! = 2*120 = 240 ways

Answer: Option B

mangamma · Answer

Official explanation
  
Because Jason must sit on either aisle, there are two places he can sit. And for each of those two seats, there are five friends left for five seats, making 5! ways to arrange them. So the answer is 2 * 5!, which is 240

Abhishek009 · Answer

There are 6 seats (With 2 Isle Seats) and 6 persons ...

Jason can seat in 2 ways (in either of the isle Seats) , and we are left with 5 persons and 5 seats which can be done in 5! ways...

SO, Total no of possible ways is 2*5! = 240, Answer must be (B)

Kinshook · Answer

There are 2 ways to choose an aisle and there are 5!=120 ways to choose arrangement of 5 friends.

Total ways =2×120=240

IMO B

Posted from my mobile device

Basshead · Answer

Since Jason must sit in an aisle seat, we have the following 2 situations:

J _ _ _ _ _ = 120 ways
_ _ _ _ _ J = 120 ways

120 + 120 = 240 ways

Answer is B.

bumpbot · Answer

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How many ways can Jason sit with his five friends in a row of six seat

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How many ways can Jason sit with his five friends in a row of six seat

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