MGMAT CAT EXAM QUESTION: 7 TEAMS COMPETE IN A TRACT COMPETE

[jmiceli0819]

Can someone please explain this question in a little more detail...


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

[MannyRosas]

To find out the minimum number of teams, I'd allocate the maximum of wining events to all teams (a max of 3 to every team)

Thus: 20 events / 3 events per team = 6 teams
6 teams won 3 events, then the 7th team won 2 events.

All teams (7) won at least one event.

Hopefully Ron explains it better and easier.

[RonPurewal]

please search the forum, people (and please avoid using all caps -- that's the internet equivalent of screaming)

see here:
7-teams-compete-in-a-track-competition-if-there-are-20-t507.html