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Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How may matches will have to be held to complete the league round of matches?

  • a) 
    20
  • b) 
    10
  • c) 
    8
  • d) 
    5
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Five teams have to compete in a league,with every team playing every o...
Consider any 5 names for times. one team will play with other and so on make susets there will be 10. suppose if a play with b that means b played with a so in subset of b we r not supposed to consider this match
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Five teams have to compete in a league,with every team playing every o...
Explanation:

Total number of teams:
- Given that there are five teams competing in the league.

Number of matches each team plays:
- In a league where every team plays every other team exactly once, each team will play against 4 other teams.

Calculating total number of matches:
- To calculate the total number of matches, we can use the formula:
Total matches = (n * (n-1)) / 2, where n is the number of teams.
- Substituting n = 5 into the formula:
Total matches = (5 * 4) / 2
Total matches = 20 / 2
Total matches = 10

Conclusion:
- Therefore, a total of 10 matches will have to be held to complete the league round of matches. So, the correct answer is option B.
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Five teams have to compete in a league,with every team playing every other teamexactly once, before going to the nextround. How may matches will have to beheld to complete the league round ofmatches?a)20b)10c)8d)5Correct answer is option 'B'. Can you explain this answer?
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