Question

567 teams participate in a football tournament. If each team plays against every other team only once .how many matches will be played in total ?

Answer 1

The number of matches played = 160461

Step-by-step explanation:

Number of teams participated in football tournament = 567

Each team will play against every other team

Thus, to find out the number of matches played we need to find out the ways of choosing two teams among 567 teams participating

Number of ways

$=^{567}C_2$

$=\frac{(567)!}{2!565!}$

$=\frac{567\times 566\times (565)!}{2\times(565)!}$

$=567\times 283$

$=160461$

Hope this answer is helpful.

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Answer 2

Answer:

160461 matches will be played in total.

Step-by-step explanation:

In a football match 567 teams participated.

Each team plays against every other team .

So the matches will be played in total is

=567C2

=567!/2!*565!

=567*566*565!/2!*565!

=567*566/2

=567*283

=160461

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