Question

If there were 12 teams in a football conference, how many games would the conference commissioner have to schedule each year to make sure every team played each other 1 time?

Answer 1

66 matches.

Explanation:

We have been given that there were 12 teams in a football conference. We are asked to find the number of games that conference commissioner have to schedule each year to make sure every team played each other 1 time.

We will use
`(n(n-1))/(2)` formula to solve our given problem, where n represents number of total teams.

Total number of teams will be multiplied by one less than total number of teams because any team can not play with themselves.

We will divide the product by 2 so that match between two teams is not counted twice.

`(12(12-1))/(2)=(12(11))/(2)=6(11)=66`

Therefore, the conference commissioner have to schedule 66 matches each year to make sure every team played each other 1 time.