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In a Chess Tournament Each of the 6 Players Will Play Every Other Player Only Once. How Many Matches Will Be Played During the Tournament? - Mathematics

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MCQ

In a chess tournament, each of the 6 players will play every other player only once. How many matches will be played during the tournament?

Options

  • 12

  • 15

  • 30

  • 36

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Solution

15
Explanation:
Required number of matches = `"^6C_2`

= `(6!)/(2!xx4!)=15`

Concept: Permutation and Combination (Entrance Exam)
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