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If in any League tournament 6 teams are participating then there will be __________ matches will be played
- a)10
- b)12
- c)13
- d)15
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
If in any League tournament 6 teams are participating then there will ...
If 6 teams are participating in a league tournament, there will be 15 matches played. This is because each team will play against every other team once, resulting in a total of (6 x 5)/2 = 15 matches.
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If in any League tournament 6 teams are participating then there will ...
Explanation:
In any league tournament, each team plays against every other team once. So, if there are 6 teams participating, each team will have to play against 5 other teams.
Calculating the number of matches:
To calculate the number of matches, we need to consider that a match involves two teams. So, for each game, we need to select 2 teams out of the 6 participating teams.
The number of ways to select 2 teams out of 6 is given by the combination formula:
C(n, r) = n! / (r!(n-r)!)
where n is the total number of teams and r is the number of teams to be selected.
In this case, n = 6 and r = 2.
C(6, 2) = 6! / (2!(6-2)!)= 6! / (2! * 4!) = (6 * 5 * 4!) / (2! * 4!) = 6 * 5 / 2 = 15
So, there will be a total of 15 matches played in the tournament.
Final Answer:
The correct answer is option D) 15.
In any league tournament, each team plays against every other team once. So, if there are 6 teams participating, each team will have to play against 5 other teams.
Calculating the number of matches:
To calculate the number of matches, we need to consider that a match involves two teams. So, for each game, we need to select 2 teams out of the 6 participating teams.
The number of ways to select 2 teams out of 6 is given by the combination formula:
C(n, r) = n! / (r!(n-r)!)
where n is the total number of teams and r is the number of teams to be selected.
In this case, n = 6 and r = 2.
C(6, 2) = 6! / (2!(6-2)!)= 6! / (2! * 4!) = (6 * 5 * 4!) / (2! * 4!) = 6 * 5 / 2 = 15
So, there will be a total of 15 matches played in the tournament.
Final Answer:
The correct answer is option D) 15.
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If in any League tournament 6 teams are participating then there will be __________ matches will be playeda)10b)12c)13d)15Correct answer is option 'D'. Can you explain this answer?
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