Question

In a cricket tournament, there are 6 teams. If every team plays a match will all the

other teams, how many matches in total will be played in the tournament?​

Answer 1

Answer:

Let's name each team as A, B, C, D, E, F.

Step-by-step explanation

So, lets start counting number of matches played by each team one after the other.

1. Team A will play with B, C, D, E, F. So number of matches played by team A is equal to 5.

2. Team B will play with C, D, E & F.( Team B & A have already played match with each other. So we won't count it again.) So, number of matches played by team B is equal to 4.

3. Team C will play with D, E, F & as it has already played with B & A, we will not count it again. So, number of matches played by team C is equal to 3.

4. Team D is left to play with E & F as it has already played with rest of the team. So, number of matches played by team D is equal to 2

5. Team E & F will play with each other.

Add total number of matches played from above which is equal to 5 +4+3+2+1=15

From here, further matches to be played will be based on how many teams will qualify for next round.

1st scenario:

4 teams reached semis based on Points table. So 2 semis & 1 Final.

So total number of matches played in the tournament is 15+3= 18.

2nd scenario :

Only 2 teams qualifies for Final. So, total number of matches played in the tournament is 15+1=16.

Hope it helps you !!