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2012 AMC 10B Problem 24

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2012 AMC 10B Problem 24AMC 10 Step by Step

Name: Date: September 13, 2026

Basic Counting · difficulty 4 of 5 · about 6 min · position P21-25

Amy, Beth, and Jo listen to four different songs and discuss which ones they like. No song is liked by all three. Furthermore, for each of the three pairs of the girls, there is at least one song liked by those girls but disliked by the third. In how many different ways is this possible?

A)
$108$
B)
$132$
C)
$671$
D)
$846$
E)
$1105$

2012 AMC 10B Problem 24

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