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7 teams compete in a track competition. If there are 20

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CEO
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7 teams compete in a track competition. If there are 20 [#permalink] New post 19 Feb 2008, 09:45
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7 teams compete in a track competition. If there are 20 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?

A. 3
B. 4
C. 5
D. 6
E. 7
[Reveal] Spoiler: OA

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Last edited by Bunuel on 27 Jul 2014, 01:59, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
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Re: 7 teams compete in a track competition. If there are 20 [#permalink] New post 19 Feb 2008, 10:11
bmwhype2 wrote:
7 teams compete in a track competition. If there are 20 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?
3
4
5
6
7


7

3(max wins) x 6 =18 (6 teams win three events)

18+2 = 20 (1 team wins 2 events)
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Re: 7 teams compete in a track competition. If there are 20 [#permalink] New post 26 Jul 2014, 20:56
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Re: 7 teams compete in a track competition. If there are 20 [#permalink] New post 06 Aug 2014, 18:39
bmwhype2 wrote:
7 teams compete in a track competition. If there are 20 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?

A. 3
B. 4
C. 5
D. 6
E. 7


what will happen if one team lost all the events? There will be 6 team left that won at least one event or no more than 3.
Even if each of 6 team won 3 events, there are only 18 events finished ( < 20)--> The possibility of one team lost all the events is 0.
--> there is always at least one team won at least one event
--> E is the answer
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Re: 7 teams compete in a track competition. If there are 20   [#permalink] 06 Aug 2014, 18:39
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