Question

(4) 6 teams compete in a track competition. If there are 23 events in the competition, no event ends in a tie, and no team wins more than 4 events, what is the minimum possible number of teams that won at least one event?

Answer 1

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

If each of the first 5 teams won the MAXIMUM number of events possible, then that would account for 5(4) = 20 of the events. There are 23 total events though - so who won THOSE last 3 events?

It would have to be the only team that's left: the 6 th team.