Question

In a tournament, 14 teams play league matches. If each team plays against every other team once only then how many matches are played?
1. 105
2. 91
3. 85
4. 78

Answer 1

Correct Answer - Option 2 : 91

The correct answer is 91.

Given:

In a tournament, 14 teams play league matches.

If each team plays against every other team once only.

Calculation:

Suppose first-team paly 13 matches, second-team play 12 match because already played one match and so on

Let the N be a number of teams

Used this formula in such types of problem = N(N - 1)/2

N = 14 teams

⇒ 14(14 - 1)/2

⇒ 7 × 13

⇒ 91

∴ The total number of matches played is 91.