1
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Question

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

A
36
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B
30
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C
15
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D
12
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Solution

## The correct option is D 15First player can play 5 matches with other five players. Second player can play 4 matches with other four players and proceeding this way, the fifth player will play only one match with sixth player.∴ Total number of matches played = 5 +4 + 3 + 2 + 1 = 15. Short cut : Number of matches played by n players = n(n+1)2

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