In a round-robin tournament, each player plays against every other player exactl

In a round-robin tournament, each player plays against every other player exactly once. If there are 10 players, how many matches will be played?

In a round-robin tournament, each player plays against every other player exactly once. If there are 10 players, how many matches will be played?

Step 1: Understand that in a round-robin tournament, each player plays against every other player exactly once.
Step 2: Identify the number of players, which is 10 in this case.
Step 3: Use the formula for calculating the number of matches, which is n(n-1)/2, where n is the number of players.
Step 4: Substitute the number of players into the formula: n = 10, so we calculate 10(10-1)/2.
Step 5: Simplify the calculation: 10(9)/2.
Step 6: Multiply 10 by 9 to get 90.
Step 7: Divide 90 by 2 to get 45.
Step 8: Conclude that there will be 45 matches played in total.

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