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Three people are to be seated on a bench. How many different sitting

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Bunuel
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Three people are to be seated on a bench. How many different sitting [#permalink] New post   10 Jul 2016, 08:39
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A
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Three people are to be seated on a bench. How many different sitting arrangements are possible if Erik must sit next to Joe?

A. 2.
B. 4.
C. 6.
D. 8.
E. 10.
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B
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Re: Three people are to be seated on a bench. How many different sitting [#permalink] New post   17 Dec 2018, 23:25
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Consider Eric and joe as one person. Then we have total 2 persons to be seated.
No of ways of doing so = 2 ways
Now, Eric and joe could also be arranged in 2 different ways i.e Erik left to Joe and Erik right to Joe.
Hence, total ways = 2 x 2 = 4
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Re: Three people are to be seated on a bench. How many different sitting [#permalink] New post   10 Jul 2016, 10:46
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Possible combinations can be

1. Erik Joe X
2. X Erik Joe
3. Joe Erik X
4. X Joe Erik

Hence, answer is B.

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Re: Three people are to be seated on a bench. How many different sitting [#permalink] New post   10 Jul 2016, 11:14
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Bunuel wrote:
Three people are to be seated on a bench. How many different sitting arrangements are possible if Erik must sit next to Joe?

A. 2.
B. 4.
C. 6.
D. 8.
E. 10.


Consider E and J one. But, in this arrangement they can sit in two different combinations.

E first and J second or J first and E second.

Total we have (E and J) and third person= 2 arrangements to do.

Total arrangements= 2*2= 4

B is the answer
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gmatbyexample
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Re: Three people are to be seated on a bench. How many different sitting [#permalink] New post   11 Oct 2021, 04:40
Expert Reply
Listing combinations is one way to do it, however if the number would have been more than 3 people, it would get tricky. Using counting / selections formulas.

Lets give third person a name (T: Third Person)

Step 1: Combine Eric and Joe into one person [A]
Step 2: Arrange T & A -- 2! Ways
Step 3: Arrange Eric & Joe within A -- 2! Ways

Total ways : 2! * 2! ways.

This method can be scaled to larger numbers.

Hopefully that helps.
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gmatclubot
Re: Three people are to be seated on a bench. How many different sitting [#permalink]
11 Oct 2021, 04:40
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