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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?
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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.
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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