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

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Math Expert
Joined: 02 Sep 2009
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A dance team with 5 members will perform, 2 dancers at a time, until  [#permalink]

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04 Mar 2019, 23:49
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Difficulty:

5% (low)

Question Stats:

86% (00:45) correct 14% (01:53) wrong based on 43 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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Intern
Joined: 21 Aug 2018
Posts: 5
Re: A dance team with 5 members will perform, 2 dancers at a time, until  [#permalink]

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

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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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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.

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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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