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In a tournament 14 teams play league matches. If each team plays against every other team only once, then how many matches are played?

Question and options

In a tournament 14 teams play league matches. If each team plays against every other team only once, then how many matches are played?
  1. 79
  2. 105
  3. 91
  4. 85

Answer and explanation

Correct answer: C - 91
Each pair of teams plays once: 14C2=14×132=91{}^{14}C_{2} = \frac{14 \times 13}{2} = 91 matches.

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  • CUSAT CAT Integrated IPR Ph.D.

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