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A promoter is organizing an opera concert. Ten singers are a
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27 Aug 2018, 13:57
27 Aug 2018, 13:57
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Question Stats:
64% (01:55) correct
35% (01:54) wrong based on 14 sessions
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A promoter is organizing an opera concert. Ten singers are available for the program: 3 sopranos, 3 mezzos, 2 tenors and 2 baritones. If the promoter intends every segment to be a duet by performers with different vocal ranges, how many pairings of performers are possible?
A. 6
B. 10
C. 24
D. 36
E. 37
A. 6
B. 10
C. 24
D. 36
E. 37
Re: A promoter is organizing an opera concert. Ten singers are a
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28 Aug 2018, 06:39
28 Aug 2018, 06:39
2
A promoter is organizing an opera concert. Ten singers are available for the program: 3 sopranos, 3 mezzos, 2 tenors and 2 baritones. If the promoter intends every segment to be a duet by performers with different vocal ranges, how many pairings of performers are possible?
The solution here is to find number of combination by organizing each pair of singers to other.
1. So we have groups of 3M 3S 2T 2B
2. Lets pair them
M S = 3C1 * 3C1 = 9
M T = 3C1 * 2C1 = 6
M B = 3C1 * 2C1 = 6
S T = 3C1 * 2C1 = 6
S B = 3C1 * 2C1 = 6
T B = 2C1 * 2C1 = 4
Total = 37
answer is E
The solution here is to find number of combination by organizing each pair of singers to other.
1. So we have groups of 3M 3S 2T 2B
2. Lets pair them
M S = 3C1 * 3C1 = 9
M T = 3C1 * 2C1 = 6
M B = 3C1 * 2C1 = 6
S T = 3C1 * 2C1 = 6
S B = 3C1 * 2C1 = 6
T B = 2C1 * 2C1 = 4
Total = 37
answer is E
gmatclubot
Re: A promoter is organizing an opera concert. Ten singers are a [#permalink]
28 Aug 2018, 06:39
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