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71. Music Each of the 100 students attending a conservatory of music plays at least one of three instruments: piano, violin, and clarinet. Of the students, 65 play the piano, 42 play the violin, 28 play the clarinet, 20 play the piano and the violin, 10 play the violin and the clarinet, and 8 play the piano and the clarinet. How many play all three instruments? Hint: Let x represent the number of students who play all three instruments.

71. Music Each of the 100 students attending a conservatory of music plays at least one of three instruments: piano, violin, and clarinet. Of the students, 65 play the piano, 42 play the violin, 28 play the clarinet, 20 play the piano and the violin, 10 play the violin and the clarinet, and 8 play the piano and the clarinet. How many play all three instruments? Hint: Let x represent the number of students who play all three instruments.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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71. Music Each of the 100 students attending a conservatory of music plays at least one of three instruments: piano, violin, and clarinet. Of the students, 65 play the piano, 42 play the violin, 28 play the clarinet, 20 play the piano and the violin, 10 play the violin and the clarinet, and 8 play the piano and the clarinet. How many play all three instruments? Hint: Let x represent the number of students who play all three instruments. ents to follow:
Transcribed Image Text:71. Music Each of the 100 students attending a conservatory of music plays at least one of three instruments: piano, violin, and clarinet. Of the students, 65 play the piano, 42 play the violin, 28 play the clarinet, 20 play the piano and the violin, 10 play the violin and the clarinet, and 8 play the piano and the clarinet. How many play all three instruments? Hint: Let x represent the number of students who play all three instruments. ents to follow:
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