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There are 5  girls and  5 boys in a chess club. The club holds a round-robin tournament in which every player plays against every other player exactly once.

If Anita is one of the club members, what fraction of all games at the tournament does Anita play in? Enter your answer as a fraction in simplified form.

 Jan 13, 2019
 #1
avatar+18754 
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There are 10 players in all.....Anita is ONE of them..... she must play 9 other players

  We have already shown there are a total of 45 games          Anita plays  9/45 games = 1/5 of the games

 Jan 13, 2019
 #2
avatar+533 
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she plays in 5+5-1 games, or 9 games.

there are 10c2 games played total or 45

 

so the answer is 9/45 or 1/5.

 

HOPE THIS HELPED!

 Jan 13, 2019

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