Lesson 2 of 4 · Round robin standings

Match count

Games and Tournaments · for IPMAT Indore, IPMAT Rohtak and JIPMAT

The exam method

Draw count. sum draws per team, then halve.

Worked examples

Example 3Easy

Five teams finish on 7, 6, 4, 2 and 1 points. How many points are shared in total, and how many matches were played? Solution: 20 points, 10 matches.

Example 1Sitter

A league has 8 teams. How many matches are played? Solution: 28. 8 x 7 / 2.

Formulas you need

$\text{Total points} = 2 \times \text{matches (win 2, draw 1 + 1)}$

$\text{Matches in a league of } n \text{ teams} = \binom{n}{2} = \frac{n(n-1)}{2}$

Watch out

n - 1 matches per team.
Draws count twice in a team-by-team tally.

Picked from the Round robin standings note for this micro-concept automatically. The whole note: Round robin standings.