Of the 10 kids in a chess club, 5 are left-handed and 5 are right-handed. The club holds a round-robin tournament in which every player plays against every other player exactly once. Of all the matches, how many of them have a left-handed player competing against a right-handed player?

Respuesta :

The total number of games a girl play against a boy is 25, the number of games a girl plays against a boy is 10, the fraction of the games are boy-versus-boy is 2/9, and 1/5 fraction of all games at the tournament Anita plays the game.

We have given that,

Of the 10 kids in a chess club, 5 are left-handed and 5 are right-handed.

What are permutation and combination?

A permutation can be defined as the number of ways a set can be arranged, order matters but in combination, the order does not matter.

We have 5 girls and 5 boys in a chess club:

There are a total of 5×5 games girls play against a boy.

= 5×5

= 25

The number of games a girl play against another.

It is a combination problem so the total number of games:

= 10

A fraction of the games are boy-versus-boy:

The number games boy-versus-boy = 10

The number games Boy vs Boy & Girl vs Girl & Boy vs Girl

= 10+10+25

=  45

So the fraction = 10/45 ⇒ 2/9

If Anita is one of the club members then Anita will have to play against 9 people at the tournament.

Total number of games = 45

Then the fraction = 9/45 ⇒ 1/5

Thus, the total number of games a girl play against a boy is 25, the number of games a girl plays against a boy is 10, the fraction of the games are boy-versus-boy is 2/9, and 1/5 fraction of all games at the tournament Anita play the game.

To learn more about combination visit:

brainly.com/question/4546043

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