Question

The formula for determining the number of rounds in a single league fixture when the number of

teams is even?
a) N
b) N-1/2

c) N-1

d) N(N-1)/2​

Answer 1

Correct option : d) N/(N-1)/2

To determine the number of games for a single round robin tournament, use the following formula, N x (N-1)/2

Answer 2

d)$N(N-1)/2$ is the formula for determining the number of rounds in a single league fixture when the number of teams is even.

Explanation:

1.The above problem is solved using Permutations which is one of the mathematical concept.

2.In a single league stage If there are N number of teams each team should play $(N-1)$ games.

3.Since there are N teams,the total number of games played by them all are $N(N-1)$

4.But we should also notice that two teams are playing in a match.So one match will leads to completion of two matches from our result.

5.So the total games played by them should be divided by $2$.

6.Finally the total number of matches in a single league game will be $N(N-1)/2$,If N denotes number of teams which are even.