Question

Twenty teams take part in a football tournament. Each team has to play every other team. How many games would be played in the tournament?

Answer 1

The total number of games are 190.

Step-by-step explanation:

Consider the provided information.

There are 20 teams and each team has to play every other team.

That means each team needs to play with other 19 teams, therefore each team will play 19 match.

There are 20 teams, thus the number of games are: 19×20=380

But 380 games include A × B also  B × A, which is not different at all. (A and B are different teams.)

So divide the total number of games with 2.

$\frac{380}{2}= 190$

Hence, the total number of games are 190.

Or use the formula: $\frac{n(n+1)}{2}$

Where n is the number of teams.

Total game played = $\frac{20(20-1)}{2} =190$

The total number of games are 190.

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