Question

your quidditch league has 5 teams. you will play a tournament next week in which every team will play every other team once. each team can play at most one match each day, but there is plenty of time in the day for multiple matches. what is the fewest number of days over which the tournament can take place?

Answer 1

The fewest number of days over which the tournament can take place is 5 days.

How to calculate the number of days?

As each team plays with other team Once and we have total 5 teams so number of matches will be (4+3+2+1)

Counted as team 1 plays with all other teams = 4 matches

Team 2 plays with team 3,4,5 =3 matches

Team 3 play with team 4,5=2 match

And the last match is between team 4 and team5

Total match = 10 and can be played two matches per day:

Number of days = 10/2

= 5 days.

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