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To MINIMIZE the number of teams that win at least one event, we must MAXIMIZE the number of teams that win 3 events.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
The first thing we should recognize is that, if each of the 7 teams get their maximum of 3 wins each, then the total number of wins is 21.j_shreyans 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
OAE
Let’s say 6 teams won 3 events and 1 team won 2 events. Thus, the minimum possible number of teams that won at least 1 event is 7.j_shreyans 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
The first thing we should recognize is that, if each of the 7 teams get their maximum of 3 wins each, then the total number of wins is 21.j_shreyans 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
OAE
