Question

if 7 teams participate in a double league tournament such as in the IPL ,how many matches will be conducted in the first phase of league?​

Answer 1

answer:-

Let’s name the teams with numbers from 1 to 7.

Team 1 played 6 unique matches (Because they can’t play against themselves).

Team 2 played 5 unique matches (For the first reason and because they have already played with Team 1).

Similarly,

Team 3 played 4 unique matches.

Team 4 played 3 unique matches.

Team 5 played 2 unique matches.

Team 6 played 1 unique matches.

Team 7 played 0 unique matches.

So total number of matches = 1 + 2 + 3 + 4 + 5 + 6 = 21.

In general if n teams play a tournament and play 1 match with every other team,

TotalNo.ofMatches=n(n−1)/2.

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