Hi earnit,

As wordy as this prompt is, it's really just a 'limit' question - you have to think about minimum and maximum possibilities given the restrictions in the question.

We're told a few facts about a track competition:

1) 7 teams compete in the competition.

2) There are 20 events in the competition

3) There are NO ties in the competition.

4) No team wins MORE than 3 events

We're asked for the MINIMUM number of teams that would win at least 1 event at this competition.

It's the last fact that is the most 'limiting' piece of information: NO team won more than 3 events....

Let's start by trying to MAXIMIZE the number of events that each team wins.....

If each of the first 6 teams won the MAXIMUM number of events possible, then that would account for 6(3) = 18 of the events. There are 20 total events though - so who won THOSE last 2 events?

It would have to be the only team that's left: the 7th team.

This means that EVERY team won at least one event (and it really means that every team won at least 2 events).

Final Answer:

GMAT assassins aren't born, they're made,

Rich

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# Rich Cohen

Co-Founder & GMAT Assassin

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