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?

This question was previously asked in
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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