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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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