In a chess tournament, each player plays against every other player exactly once

In a chess tournament, each player plays against every other player exactly once. If there are 12 players, how many games are played?

In a chess tournament, each player plays against every other player exactly once. If there are 12 players, how many games are played?

Step 1: Understand that each player plays against every other player exactly once.
Step 2: Identify the total number of players, which is 12 in this case.
Step 3: Use the formula for calculating the number of games played, which is n(n-1)/2, where n is the number of players.
Step 4: Substitute the number of players into the formula: n = 12, so we calculate 12(12-1)/2.
Step 5: Simplify the expression: 12 - 1 equals 11, so now we have 12 * 11 / 2.
Step 6: Multiply 12 by 11 to get 132.
Step 7: Divide 132 by 2 to find the total number of games: 132 / 2 equals 66.
Step 8: Conclude that the total number of games played is 66.

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