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A dance team with 5 members will perform, 2 dancers at a time, until

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A dance team with 5 members will perform, 2 dancers at a time, until  [#permalink]

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New post 04 Mar 2019, 23:49
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83% (00:45) correct 17% (01:56) wrong based on 29 sessions

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A dance team with 5 members will perform, 2 dancers at a time, until all the possible combinations of dancers have performed. If each combination dances for 5 minutes, and there are no breaks or interruptions, what is the total running time of the performance?

A. 80 minutes
B. 75 minutes
C. 60 minutes
D. 50 minutes
E. 45 minutes

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Re: A dance team with 5 members will perform, 2 dancers at a time, until  [#permalink]

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New post 05 Mar 2019, 01:01
(5C2)*5 min = 10*5 min.= 50min.
Answer='D'
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Re: A dance team with 5 members will perform, 2 dancers at a time, until  [#permalink]

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New post 05 Mar 2019, 08:36
Bunuel wrote:
A dance team with 5 members will perform, 2 dancers at a time, until all the possible combinations of dancers have performed. If each combination dances for 5 minutes, and there are no breaks or interruptions, what is the total running time of the performance?

A. 80 minutes
B. 75 minutes
C. 60 minutes
D. 50 minutes
E. 45 minutes



total combinations 5c2 = 10
and each set performs for 5 mins
so total time ; 10*5 = 50
IMO D
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Re: A dance team with 5 members will perform, 2 dancers at a time, until  [#permalink]

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New post 07 Mar 2019, 07:57
Bunuel wrote:
A dance team with 5 members will perform, 2 dancers at a time, until all the possible combinations of dancers have performed. If each combination dances for 5 minutes, and there are no breaks or interruptions, what is the total running time of the performance?

A. 80 minutes
B. 75 minutes
C. 60 minutes
D. 50 minutes
E. 45 minutes


The number of combinations of dancers is 5C2 = (5 x 4)/2! = 10 ways, for a total run time of 10 x 5 = 50 minutes.

Answer: D
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Re: A dance team with 5 members will perform, 2 dancers at a time, until   [#permalink] 07 Mar 2019, 07:57
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