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

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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, 04:42
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A
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Question Stats:

28% (01:56) correct 72% (02:07) wrong based on 116 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, 07:13
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
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GMAT 1: 690 Q50 V34
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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 28 Mar 2020, 02:00
Hi Archit3110

Please elaborate your answer.
Please provide similar questions and methods to solve them.


Archit3110 wrote:
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
CEO
CEO
User avatar
V
Joined: 03 Jun 2019
Posts: 2503
Location: India
GMAT 1: 690 Q50 V34
WE: Engineering (Transportation)
Premium Member Reviews Badge CAT Tests
Re: There are n new students in a class. Among any three of them, there ex  [#permalink]

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New post 28 Mar 2020, 02:08
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


Hi Bunuel
Please provide OE for the above question.
GMAT Club Bot
Re: There are n new students in a class. Among any three of them, there ex   [#permalink] 28 Mar 2020, 02:08
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