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# Five students in a classroom are lining up one behind the other for re

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Math Expert
Joined: 02 Sep 2009
Posts: 57083
Five students in a classroom are lining up one behind the other for re  [#permalink]

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03 Jan 2019, 04:59
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Difficulty:

5% (low)

Question Stats:

91% (00:26) correct 9% (00:27) wrong based on 44 sessions

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Five students in a classroom are lining up one behind the other for recess. How many different lines are possible?

(A) 5
(B) 10
(C) 24
(D) 25
(E) 120

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Concentration: General Management, Finance
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Re: Five students in a classroom are lining up one behind the other for re  [#permalink]

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03 Jan 2019, 06:27
When 5 students in a classroom are lining up one behind the other for recess, they can be arranged in 5! ways, i.e. 120 ways.
Number of ways of arranging n items in a linear way = n!

Hence, the Correct Answer is Option E. 120

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Re: Five students in a classroom are lining up one behind the other for re  [#permalink]

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03 Jan 2019, 08:42
since five students are all different
No of ways for 1st position = 5
No of ways for 2nd position = 4
No of ways for 3rd position = 3
No of ways for 4th position = 2
No of ways for 5th position = 1

totatal ways 5*4*3*2*1
=5!
simple permutation or arrangement without repetition= 5!
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Re: Five students in a classroom are lining up one behind the other for re  [#permalink]

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06 Jan 2019, 05:35
Bunuel wrote:
Five students in a classroom are lining up one behind the other for recess. How many different lines are possible?

(A) 5
(B) 10
(C) 24
(D) 25
(E) 120

5! ways are possible

5*4*3*2*1 = 120

IMOE
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Re: Five students in a classroom are lining up one behind the other for re   [#permalink] 06 Jan 2019, 05:35
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