Five persons take part in a tournament. Each one has to play with every other one. How many minimum number of games must they play?

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OSSC CGLRE (Mains) Exam (Mathematics) Official Paper (Held On: 23 July, 2023)
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  1. 10
  2. 12
  3. 8
  4. 18

Answer (Detailed Solution Below)

Option 1 : 10
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Detailed Solution

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Given:

Number of persons = 5

Formula Used:

Number of games = \( \frac{n(n-1)}{2} \)

Calculation:

n = 5

Number of games = \( \frac{5(5-1)}{2} \)

⇒ Number of games = \( \frac{5 \times 4}{2} \)

⇒ Number of games = \( \frac{20}{2} \)

⇒ Number of games = 10

Minimum number of games they must play is 10.

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