In a group of 35 music students, 16 students play an instrument, 16 students sing, and 19 students dance. Furthermore, 5 students both play and sing, 7 students both sing and dance, 6 students both play and dance, and 2 students do all three. How many students are engaged in neither of the three activities?

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Chapter8: Sequences, Series,and Probability
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In a group of 35 music students, 16 students play an instrument, 16 students sing, and 19 students dance. Furthermore, 5 students both play and sing, 7 students both sing and dance, 6 students both play and dance, and 2 students do all three. How many students are engaged in neither of the three activities?

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