Question

a woman's volleyball league has 23 teams. What is the total number of games to be played if each team plays every other team twice?

Answer 1

Let:

N = Total number of teams

Since each team plays every other team twice, the total T games will be:

$\begin{gathered} T=N(N-1) \\ T=23(23-1) \\ T=23(22) \\ T=506 \end{gathered}$