Question

Kumar of XII A is a great athlete. After summer holidays, he went to see his Physical Education Teacher. Mr. Murugan, the PE teacher was shocked to see Kumar, because Kumar had gained a lot of weight. He also observed many other students had also gained weight. The PE teacher decided to conduct an 'Inter House Tournament' in the campus. Kumar requested PE Teacher to conduct the tournament on League basis.

What is the formula to determine number of matches in single league fixture for even number of teams?

पर्याय

• N + 1/2

• N − 1/2

• N(N − 1)/2

• N(N + 1)/2

Answer 1

N(N - 1)/2

Explanation:

In a single league, every pair of teams plays once. The number of unique pairs among N teams is \[\frac{N(N - 1)}{2}\].