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In a chess tournament each of six players will play every other player exactly once. How many matches will be played in the tournament?

  1. A
    12
  2. B
    15
  3. C
    30
  4. D
    72

Solution & Step-by-step Explanation

The total number of matches played can be calculated using the combination formula , where is the total number of players. Here, .

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Try it yourself before checking the explanation above.

In a chess tournament each of six players will play every other player exactly once. How many matches will be played in the tournament?
A
12
B
15
C
30
D
72

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CombinatoricsPermutations and Combinations

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