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There are n new students in a class. Among any three of them, there ex

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Math Expert
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There are n new students in a class. Among any three of them, there ex  [#permalink]

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New post 01 Nov 2019, 05:42
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A
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  95% (hard)

Question Stats:

25% (01:49) correct 75% (02:15) wrong based on 77 sessions

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There are n new students in a class. Among any three of them, there exist two who know each other and among any four of them, there exist two who do not know each other. Find the greatest possible value of n.

A. 7
B. 8
C. 9
D. 10
E. 11

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Re: There are n new students in a class. Among any three of them, there ex  [#permalink]

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New post 01 Nov 2019, 08:13
giving a try

Among any three of them, there exist two who know each other ; 3 and among any four of them, there exist two who do not know each other
3c2*2+2c1 = 8
IMO B



Bunuel wrote:
There are n new students in a class. Among any three of them, there exist two who know each other and among any four of them, there exist two who do not know each other. Find the greatest possible value of n.

A. 7
B. 8
C. 9
D. 10
E. 11

Are You Up For the Challenge: 700 Level Questions
Intern
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Joined: 03 Nov 2019
Posts: 1
Re: There are n new students in a class. Among any three of them, there ex  [#permalink]

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New post 04 Nov 2019, 22:00
Not sure how to tackle problem can anyone suggest a start?

Posted from my mobile device
Senior Manager
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Re: There are n new students in a class. Among any three of them, there ex  [#permalink]

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New post 06 Nov 2019, 16:06
1
Can anyone please give another explanation?

Kind regards!
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Location: India
Schools: ISB '20
Re: There are n new students in a class. Among any three of them, there ex  [#permalink]

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New post 16 Nov 2019, 08:05
Bunuel

Please explain this question .
GMAT Club Bot
Re: There are n new students in a class. Among any three of them, there ex   [#permalink] 16 Nov 2019, 08:05
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