A chess tournament has 12 participants. How many games must be scheduled if every player must play every other player exactly once?

Question

A chess tournament has 12 participants. How many games must be scheduled if every player must play every other player exactly once?

Answer 1

Player 1 has 11 matches, then leaves.

Player 2 has 10 matches, then leaves.

Player 3 has 9 matches, then leaves

Can you continue the pattern and add up the number of matches? (It is not 132!)

Answer 2

To find the number of games that must be scheduled for a round-robin chess tournament with 12 participants, we need to consider that each participant will play against every other participant exactly once.

Let's denote the number of participants as 𝑛n In a round-robin tournament, each participant will play against every other participant exactly once.

For 𝑛 participants, each participant will play 𝑛−1 games (since they don't play against themselves).

So, for 12 participants: Number of games=12×(12−1)=12×11=132.

Therefore, 132 games must be scheduled for every player to play every other player exactly once in a chess tournament with 12 participants.