2017 AMC 10 B

Complete problem set with solutions and individual problem pages

Problem 13 Medium

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? (2017 AMC 10B Problem, Question#13)

  • A.

    1

  • B.

    2

  • C.

    3

  • D.

    4

  • E.

    5

Answer:C

By PIE (Property of Inclusion/Exclusion),the answer is 10+13+9-9-20=3.

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