sana.noor 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
Their is no such team that win at-least ONE event but he answer is 7
To MINIMIZE the number of teams that win at least one event, we must MAXIMIZE the number of teams that win 3 events.
6*3 = 18.
Thus, the maximum number of teams that could win 3 events = 6.
If 18 of the 20 events are won by these 6 teams, the number of events remaining = 20 -18 = 2.
These 2 events must be won by the 7th team.
Thus, all 7 teams must win at least one event.
The correct answer is
E.
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