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How to solve this problem? Someone please explain!

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by a_bajpai » Sun Aug 18, 2013 8:08 am
In a survey of students, each student selected from a list of 12 songs the 2 songs that the student liked best. If each song was selected 4 times, how many number of students were surveyed?
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Source: — Problem Solving |

by GMATGuruNY » Sun Aug 18, 2013 12:14 pm
In a survey of students, each student selected from a list of 12 songs the 2 that the student liked best. If each song was selected 4 times, how many students were surveyed?

a) 96
b) 48
c) 32
d) 24
e) 18
Since the each of the 12 songs is selected 4 times, the total number of song selections = 12*4 = 48.
Since each student makes 2 selections, we get:
Number of students = (total selections)/(selections per student) = 48/2 = 24.

The correct answer is D.
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by tarik » Mon Aug 19, 2013 4:46 pm
I chose answer D and I proceed like this:
for each 2 songs I need 4 students so they can be selected 4 times
Since there is 12 songs I need then (12/2)*4 students ==> 24
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