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Probability Problem

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by richs_ca » Fri May 02, 2008 11:17 am
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

I don't even know where to start!

Thanks
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by simplyjat » Fri May 02, 2008 11:20 am
Total number of songs = 12
Each song was selected 4 times, so total selections = 12*4 = 48
One student can select 2 songs, so number of students = 48/2 = 24
simplyjat
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by chipjet » Fri Jun 13, 2008 12:49 pm
The best approach to this is to think what exactly is happening. If each student (x) gets to pick 2 songs each, that product can be divided by 12 to get to 4.

In a formula:
(2x)/12 = 4

Solve for x = 24
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