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Combinatoric

Expert replies
by priyankamishra11 » Tue Sep 09, 2008 6:38 am
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
Regards,
Priyanka
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Source: — Problem Solving |

Re: Combinatoric

by parallel_chase » Tue Sep 09, 2008 7:45 am
priyankamishra11 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

I think the answer should be 7.

7 teams, 20 events, maximum 3 wins.

6*3 = 18

7th team will have to win the rest.

Therefore, 7.

Whats the OA?
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by priyankamishra11 » Tue Sep 09, 2008 11:02 am
Yes OA is 7 .

Thanks
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