Question

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 = n? -
- n
What is the total number of games to be
played in a football league having 23
teams?

Answer 1

506

Explanation:

Put 23 into the formula where n is, and do the arithmetic.

N = n² - n

N = 23² -23 = 529 -23 = 506

506 games will be played by the 23 teams.