Question 80
Consider a round-robin tournament with $2n+1$ teams, where each team plays each other team exactly once. We say that three teams $X$, $Y$ and $Z$ form a cycle triplet if $X$ beats $Y$, $Y$ beats $Z$, and $Z$ beats $X$. There are no ties.
a. Determine the minimum number of cycle triplets possible.
b. Determine the maximum number of cycle triplets possible.
a. Determine the minimum number of cycle triplets possible.
b. Determine the maximum number of cycle triplets possible.