Posted by **Andrew** on Saturday, February 18, 2012 at 7:26pm.

In a sports league of n teams in which each team plays every other team twice, the total number N

of games to be played is given by N = n2 - n. What is the total number of games to be played in a

football league having 17 teams?

- math -
**Cheryl**, Saturday, February 18, 2012 at 7:30pm
n = 17

N= (17*2) - 17

- math -
**Andrew**, Saturday, February 18, 2012 at 7:33pm
Thanks Cheryl :-)

- CORRECTION - math -
**Reiny**, Saturday, February 18, 2012 at 9:05pm
The answer given by Cheryl is incorrect.

The number of 2 element subsets (which the above deals with) is C(n,2)

= n!/ ((n-2)!2! )

= n( n-1)/2

so for a double round-robin, the number of games

= 2* (n(n-1)/2

= n(n-1)

= n^2 - n

so for 17 teams, n=17

N = 17^2 - 17 = 272

looks like Cheryl read your formula as 2n - n

which would have been simply n, thus her answer of 17

## Answer this Question

## Related Questions

- Math - The function of g += t^2-t represents the total number of games played by...
- Math - In a sports league there are two divisions with eight teams each. Each ...
- Math - Hillside Little League has 12 teams. Each team plays each of the other ...
- Math - each of 5 basketball teams in a league played N games with each of the 4 ...
- Math - If there are 5 teams in one league and 6 teams in another league and if ...
- Math - If there are 5 teams in one league and 6 teams in another league and if ...
- Algebra - In a certain soccer league, each of the five teams plays every other ...
- maths - In a netball competition, there are 9 teams. If each team plays each ...
- Math - in a league with 6 teams each team is scheduled to play each other team ...
- Math - In a twelve-team bowling league, if every team plays every other team ...