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Summer Camp Talents Inclusion Exclusion

1300ApprenticeCombinatoricsCounting Principles

AMC 12A · 2016 · Problem 11

Each of the $100$ students in a certain summer camp can either sing, dance, or act. Some students have more than one talent, but no student has all three talents. There are $42$ students who cannot sing, $65$ students who cannot dance, and $29$ students who cannot act. How many students have two of these talents?

Answer choices

A
16
B
25
C
36
D
49
E
64
0 students attempted0% solvedRating 1300

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AMC 12 PracticeAdvanced high school contest practice and review.AMC 10 vs AMC 12Choose the right practice path and difficulty level.AIME Practice StrategyHow to improve accuracy on high-difficulty problems.

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