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In how many different ways can five people be seated on a five-seat be

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Bunuel
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In how many different ways can five people be seated on a five-seat be [#permalink] New post   13 Jun 2016, 03:45
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In how many different ways can five people be seated on a five-seat bench if two of them must sit next to each other?

A. 24
B. 48
C. 120
D. 240
E. 480
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B
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Divyadisha
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Re: In how many different ways can five people be seated on a five-seat be [#permalink] New post   13 Jun 2016, 07:39
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Bunuel wrote:
In how many different ways can five people be seated on a five-seat bench if two of them must sit next to each other?

A. 24
B. 48
C. 120
D. 240
E. 480


Suppose of two seated together as one. Hence, total of 4 can sit as 4! and two can sit as 2!

Total ways that these five can be seated with given condition= 4!*2!= 48

B is the answer
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Re: In how many different ways can five people be seated on a five-seat be [#permalink] New post   13 Jun 2016, 04:40
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5 people can sit in 5! ways.
If 2 of them must sit next to each other, they can sit in 4! ways.
Now, these 2 persons who sit next to each other , can sit in 2! ways.
Therefore, total different ways in which 5 people can sit are 2! x 4! = 48.

Correct answer is B.
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nishi999
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Re: In how many different ways can five people be seated on a five-seat be [#permalink] New post   13 Jun 2016, 04:44
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Bunuel wrote:
In how many different ways can five people be seated on a five-seat bench if two of them must sit next to each other?

A. 24
B. 48
C. 120
D. 240
E. 480


Lets consider a and b sit together. Hence we have AB, C, D, E. They can sit in 4! ways.

Now A and B in between themselves can sit in 2 ways.

Hence 4!*2 = 48 ways
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Re: In how many different ways can five people be seated on a five-seat be [#permalink] New post   13 Jun 2016, 09:12
Consider the two of them as one unit,
hence total number of ways they can be seated = 4!
but the two of them can be seated in 2! ways
total ways = 2! * 4! = 48
option B
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Re: In how many different ways can five people be seated on a five-seat be [#permalink] New post   23 Sep 2016, 08:44
consider the seating arrangement as follows
_|_ _ _ _
wherein the first pair of seats on the bench represents 2 persons sitting together they can arrange amongst themselves in 2! ways
considering the 2 persons sitting together as 1 group basically we have 4 places to be filled which can be done in 4 ! ways
total no. of ways such that can five people be seated on a five-seat bench if two of them must sit next to each other = 2! * 4! = 48
correct answer - B
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Re: In how many different ways can five people be seated on a five-seat be [#permalink] New post   15 Nov 2020, 04:28
Hello from the GMAT Club BumpBot!

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Re: In how many different ways can five people be seated on a five-seat be [#permalink]
15 Nov 2020, 04:28
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