Ask Question
7 April, 21:37

In a chess tournament, each player plays every other player exactly once. If it is known that 105 games were played, how many players were there in the tournament?

+3
Answers (1)
  1. 8 April, 01:01
    0
    15 players played in the chess tournament.

    Step-by-step explanation:

    When there are 15 players, the first player plays 14 games and step aside.

    remaining 14 player

    next player plays 13 games. steps aside

    remaining 13 players

    next player plays 12 games. steps aside

    remaining 12 players

    next player plays 11 games. steps aside

    remaining 11 players

    .

    .

    .

    .

    Last player plays 1 game and steps aside

    remaining 1 player who will not play against himself.

    ∴ Sum of all games played

    = 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 105 games played
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “In a chess tournament, each player plays every other player exactly once. If it is known that 105 games were played, how many players were ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers