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Team Legato is competing against Team Forte in a musical duets competition where two members from each team play a song together. Prizes are awarded for first, second, and third place to the three winning duets overall, and not for the three best duets on each individual team. Team Legato has 1/4 as many members as Team Forte.
Q. Identify the number of possible duos on each team if there are 60 members of Team Forte.
- a)105
- b)1770
- c)370
- d)705
- e)1105
Correct answer is option 'A,B'. Can you explain this answer?
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Most Upvoted Answer
Team Legato is competing against Team Forte in a musical duets competi...
First, let's determine the number of members on each team. It is given that Team Legato has 1/4 as many members as Team Forte. If there are 60 members on Team Forte, then Team Legato would have 1/4 * 60 = 15 members.
Now, let's calculate the number of possible duos on each team.
For Team Forte:
Since there are 60 members on Team Forte, we need to choose 2 members out of 60 to form a duo. This can be calculated using the combination formula:
Number of duos on Team Forte = C(60, 2) = 60! / (2!(60-2)!) = 60! / (2!58!) = (60 * 59) / (2 * 1) = 1770
For Team Legato:
Since there are 15 members on Team Legato, we need to choose 2 members out of 15 to form a duo. Again, we can use the combination formula:
Number of duos on Team Legato = C(15, 2) = 15! / (2!(15-2)!) = 15! / (2!13!) = (15 * 14) / (2 * 1) = 105
Therefore, the number of possible duos on each team is 105 for Team Legato and 1770 for Team Forte.
Now, let's calculate the number of possible duos on each team.
For Team Forte:
Since there are 60 members on Team Forte, we need to choose 2 members out of 60 to form a duo. This can be calculated using the combination formula:
Number of duos on Team Forte = C(60, 2) = 60! / (2!(60-2)!) = 60! / (2!58!) = (60 * 59) / (2 * 1) = 1770
For Team Legato:
Since there are 15 members on Team Legato, we need to choose 2 members out of 15 to form a duo. Again, we can use the combination formula:
Number of duos on Team Legato = C(15, 2) = 15! / (2!(15-2)!) = 15! / (2!13!) = (15 * 14) / (2 * 1) = 105
Therefore, the number of possible duos on each team is 105 for Team Legato and 1770 for Team Forte.
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Team Legato is competing against Team Forte in a musical duets competi...
The answer is 1770 and 105. If there are 60 members on Forte, then there are 15 members of Legato. We’re choosing 2 from 60, and 2 from 15, so we’d need to use the Combination formula:
60! / (60-2)! 2! = 60 x 59 / 2 = 30 x 59 = 1770
15! / (15-2)! 2! = 15 x 14 / 2 = 15 x 7 = 105
60! / (60-2)! 2! = 60 x 59 / 2 = 30 x 59 = 1770
15! / (15-2)! 2! = 15 x 14 / 2 = 15 x 7 = 105
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Team Legato is competing against Team Forte in a musical duets competition where two members from each team play a song together. Prizes are awarded for first, second, and third place to the three winning duets overall, and not for the three best duets on each individual team. Team Legato has 1/4 as many members as Team Forte.Q. Identify the number of possible duos on each team if there are 60 members of Team Forte.a)105b)1770c)370d)705e)1105Correct answer is option 'A,B'. Can you explain this answer?
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Team Legato is competing against Team Forte in a musical duets competition where two members from each team play a song together. Prizes are awarded for first, second, and third place to the three winning duets overall, and not for the three best duets on each individual team. Team Legato has 1/4 as many members as Team Forte.Q. Identify the number of possible duos on each team if there are 60 members of Team Forte.a)105b)1770c)370d)705e)1105Correct answer is option 'A,B'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Team Legato is competing against Team Forte in a musical duets competition where two members from each team play a song together. Prizes are awarded for first, second, and third place to the three winning duets overall, and not for the three best duets on each individual team. Team Legato has 1/4 as many members as Team Forte.Q. Identify the number of possible duos on each team if there are 60 members of Team Forte.a)105b)1770c)370d)705e)1105Correct answer is option 'A,B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Team Legato is competing against Team Forte in a musical duets competition where two members from each team play a song together. Prizes are awarded for first, second, and third place to the three winning duets overall, and not for the three best duets on each individual team. Team Legato has 1/4 as many members as Team Forte.Q. Identify the number of possible duos on each team if there are 60 members of Team Forte.a)105b)1770c)370d)705e)1105Correct answer is option 'A,B'. Can you explain this answer?.
Team Legato is competing against Team Forte in a musical duets competition where two members from each team play a song together. Prizes are awarded for first, second, and third place to the three winning duets overall, and not for the three best duets on each individual team. Team Legato has 1/4 as many members as Team Forte.Q. Identify the number of possible duos on each team if there are 60 members of Team Forte.a)105b)1770c)370d)705e)1105Correct answer is option 'A,B'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Team Legato is competing against Team Forte in a musical duets competition where two members from each team play a song together. Prizes are awarded for first, second, and third place to the three winning duets overall, and not for the three best duets on each individual team. Team Legato has 1/4 as many members as Team Forte.Q. Identify the number of possible duos on each team if there are 60 members of Team Forte.a)105b)1770c)370d)705e)1105Correct answer is option 'A,B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Team Legato is competing against Team Forte in a musical duets competition where two members from each team play a song together. Prizes are awarded for first, second, and third place to the three winning duets overall, and not for the three best duets on each individual team. Team Legato has 1/4 as many members as Team Forte.Q. Identify the number of possible duos on each team if there are 60 members of Team Forte.a)105b)1770c)370d)705e)1105Correct answer is option 'A,B'. Can you explain this answer?.
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