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# There are n people standing on line L. What is the value of n?

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Math Expert
Joined: 02 Sep 2009
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There are n people standing on line L. What is the value of n?  [#permalink]

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20 Jan 2015, 07:16
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5% (low)

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84% (00:53) correct 16% (01:37) wrong based on 293 sessions

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There are n people standing on line L. What is the value of n?

(1) If 1 more person was standing on line L, the number of different ways to arrange the people standing on line L would be 5,040.
(2) If 2 fewer people were standing on line L, the number of ways to arrange the people standing on line L would be 24.

Kudos for a correct solution.

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Re: There are n people standing on line L. What is the value of n?  [#permalink]

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20 Jan 2015, 09:08
Bunuel wrote:
There are n people standing on line L. What is the value of n?

(1) If 1 more person was standing on line L, the number of different ways to arrange the people standing on line L would be 5,040.
(2) If 2 fewer people were standing on line L, the number of ways to arrange the people standing on line L would be 24.

Kudos for a correct solution.

the number of ways to arrange n people in a line is n!.

statement 1: (n+1)!=5040 we can figure out n --> Sufficient.

statement 2: (n-2)!=24 we can figure out n, which is 4! thus n+1 = 7 and n = 6. Sufficient.

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Re: There are n people standing on line L. What is the value of n?  [#permalink]

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20 Jan 2015, 09:17
Statement A - 7! will give you value of 5040....No other value possible so our number is (7-1) = 6.....

Statement B - 4! Will give 24 value so. x = 4+2 = 6..

Answer - D....Can be solved by both statements
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Re: There are n people standing on line L. What is the value of n?  [#permalink]

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24 Nov 2018, 11:38
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: There are n people standing on line L. What is the value of n?   [#permalink] 24 Nov 2018, 11:38
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