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2017 AMC 10B Problem 13

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2017 AMC 10B Problem 13AMC 10 Step by Step

Name: Date: September 13, 2026

Inclusion-Exclusion · difficulty 3 of 5 · about 4 min · position P11-15

There are $20$ students participating in an after-school program offering classes in yoga, bridge, and painting. Each student must take at least one of these three classes, but may take two or all three. There are $10$ students taking yoga, $13$ taking bridge, and $9$ taking painting. There are $9$ students taking at least two classes. How many students are taking all three classes?

A)
$1$
B)
$2$
C)
$3$
D)
$4$
E)
$5$

2017 AMC 10B Problem 13

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