In a chess tournament at Villa's club, there are 6 amateur players. If each player competes against exactly 5 other players, how many total chess games can be played during the tournament?

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Official Explanation

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In this scenario, we have 6 chess amateurs participating in the tournament. Each player competes against 5 others. To find the total number of games, we can use two methods. Method 1: Start with the first player; they play against each of the 5 others, resulting in 5 games. The second player has already played against the first, so they play against the remaining 4, adding 4 more games. The third player has played against the first two, so they play against 3 others,…

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Comments

AnanyaApr 4, 2024

thanksss

AdityaFeb 21, 2024

thank you for sharing

What this question tests

What it tests

Whether you can count arrangements and selections correctly — permutations vs. combinations.

Common trap

Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.