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richs_ca Just gettin' started!
Joined: 28 Mar 2008 Posts: 16
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Posted: Fri May 02, 2008 11:17 am Post subject: Probability Problem |
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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!
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simplyjat GMAT Destroyer!

Joined: 27 Dec 2007 Posts: 422
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Location: Hyderabad, India Test Date: May 20, 2008 Target GMAT Score: 770
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Posted: Fri May 02, 2008 11:20 am Post subject: |
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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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chipjet Rising GMAT Star
Joined: 21 May 2008 Posts: 32
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Location: Chicago Test Date: 6/23/08 Target GMAT Score: 700
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Posted: Fri Jun 13, 2008 12:49 pm Post subject: |
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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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