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

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Math Expert
Joined: 02 Sep 2009
Posts: 60481
How many ways can Jason sit with his five friends in a row of six seat  [#permalink]

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28 Feb 2016, 09:19
00:00

Difficulty:

25% (medium)

Question Stats:

75% (01:14) correct 25% (01:18) wrong based on 156 sessions

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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

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Joined: 25 Dec 2012
Posts: 116
Re: How many ways can Jason sit with his five friends in a row of six seat  [#permalink]

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28 Feb 2016, 13:24
1
Bunuel wrote:
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

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.
Intern
Joined: 16 Apr 2015
Posts: 31
Re: How many ways can Jason sit with his five friends in a row of six seat  [#permalink]

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28 Feb 2016, 15:36
1
Bunuel wrote:
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

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
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Re: How many ways can Jason sit with his five friends in a row of six seat  [#permalink]

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07 Oct 2016, 00:20
Bunuel wrote:
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

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

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Re: How many ways can Jason sit with his five friends in a row of six seat  [#permalink]

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02 Dec 2019, 08:31
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
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Re: How many ways can Jason sit with his five friends in a row of six seat  [#permalink]

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02 Dec 2019, 09:01
Bunuel wrote:
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
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)
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Re: How many ways can Jason sit with his five friends in a row of six seat  [#permalink]

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02 Dec 2019, 10:06
Bunuel wrote:
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

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

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Re: How many ways can Jason sit with his five friends in a row of six seat   [#permalink] 02 Dec 2019, 10:06
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