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In how many ways can N students be seated in a row with N seats?

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In how many ways can N students be seated in a row with N seats?  [#permalink]

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New post Updated on: 13 Jun 2017, 05:42
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In how many ways can N students be seated in a row with N seats?

(1) |N − 6| = 3
(2) N^2 = 7N + 18

Originally posted by haardiksharma on 13 Jun 2017, 04:36.
Last edited by Bunuel on 13 Jun 2017, 05:42, edited 1 time in total.
Renamed the topic and edited the question.
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Re: In how many ways can N students be seated in a row with N seats?  [#permalink]

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New post 13 Jun 2017, 05:45
In how many ways can N students be seated in a row with N seats?

The answer to the question would be factorial of N, so N!, which means that the only thing we need to know is the value of N itself.

(1) |N − 6| = 3 --> N = 9 or N = 3. Not sufficient.

(2) N^2 = 7N + 18 --> N = -2 or N = 9. Since the number of students cannot be negative, then N = 9 only. Sufficient.

Answer: B.
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Re: In how many ways can N students be seated in a row with N seats?  [#permalink]

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New post 23 Jan 2019, 20:45
(1) |N − 6| = 3 -->N -6 = +/- 3 --> N = 9 or N = 3. two numbers...

(2) N^2 = 7N + 18 --> N = -2 or N = 9. Since the number of students cannot be negative, thus N = 9 only. Sufficient.

answer B.
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Re: In how many ways can N students be seated in a row with N seats?   [#permalink] 23 Jan 2019, 20:45
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In how many ways can N students be seated in a row with N seats?

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