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There are seven team and each team has to play with three other teams

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There are seven team and each team has to play with three other teams [#permalink] New post   27 Oct 2018, 10:18
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23% (02:01) correct 77% (02:14) wrong based on 144 sessions
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There are seven team and each team has to play with three other teams in the first round of tournament. What is the minimum number of matches that can happen in the first round?
A) 10
B) 11
C) 12
D) 21
E) 22

Weekly Quant Quiz #6 Question No 6

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B
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There are seven team and each team has to play with three other teams [#permalink] New post   27 Oct 2018, 10:19
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Each match is between two teams.. say A B C D E F G.. so for every match two alphabets will appear.. we need each alphabet thrice (three matches per team).. 7*3 = 21 .. but each match has two alphabets so total appearance of alphabets can only be even.. 21 is not possible but 22 is possible (with 11 matches).

Answer = 11 (B)
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Re: There are seven team and each team has to play with three other teams [#permalink] New post   01 Aug 2023, 17:46
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someone please explain this...there is no clear solution here
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Re: There are seven team and each team has to play with three other teams [#permalink] New post   03 Aug 2023, 00:08
1,2,3,4,5,6 and 7

1->2,3,4
5->6,7,2
6->2,3
7->4,3
4 can take any number so that it too has 3 matches. So total=3+3+2+2+1=11.Hence B
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Re: There are seven team and each team has to play with three other teams [#permalink]
03 Aug 2023, 00:08
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