Question

What is the formula to determine number of matches in League fixture for even number of teams?
a) N+1/2 b) N-1/2 c) N(N-1)/2 d) N(N+1)/2

Answer 1

Answer:

The formula to determine number of matches in League is $\frac{n(n-1)}{2}$

Option C

Explanation:

A-league round is also known as single round-robin tournament. Here, all the teams play with all teams. Suppose if there are n no of teams playing a tournament, then the "first team plays" with n-1 teams, the "second team plays" with n-2 teams and so on. Hence, by mathematical induction, the no of matches played is the total of (n-1) + (n-2)...+ 1. So, the total no of games is equal to $\frac{n(n-1)}{2}$

Answer 2

Answer:

option c

Explanation:

-league round is also known as single round-robin tournament. Here, all the teams play with all teams. Suppose if there are n no of teams playing a tournament, then the "first team plays" with n-1 teams, the "second team plays" with n-2 teams and so on. Hence, by mathematical induction,