Question

in a football competition there are 4 teams. each team plays each other once. what is the total number of matches played

Answer 1

Answer Total 6 games were played

Step-by-step explanation:

There are 4 teams and each team played for each other team Each team played 3 games As 6 matches

Answer 2

The total number of matches played is 6.

Given,

Number of teams in a football competition = 4,

Each team plays each other once.

To find,

The total number of matches played.

Solution,

Here, it can be seen that the total number of teams is given to be 4.

Firstly, let these 4 teams be Teams 1, 2, 3, and 4.

Note that a team plays only once with any of the other teams.

Now, to find the total number of matches, let's arrange them according to how the matches will be played.

• Team 1 will play matches with the other 3 teams.

That is 2, 3, 4.

⇒ Number of matches = 3.

• Team 2 will play matches with 3, and 4.

Here, if we consider team 2's match with 1, it will be counted again as team 1's match with 2 has been already counted above.

⇒ Number of matches = 2.

Similarly,

• Team 3 will play a match with 4.

⇒ Number of matches = 1.

• All the matches of team 4 with other teams have already been counted.

So, total number of matches = 3 + 2 + 1 = 6.

Therefore, the total number of matches played is 6.

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