a) A survey of students in a lecture revealed that a total of 25 people played the guitar,10 played the recorder and15played the piano. Nobody played all three instruments, while 8 played only the guitar and the recorder,2 played only the recorder and the piano, and10played only the piano and the guitar. i) Draw a Venn diagram to illustrate the findings above. ii) Write a set expression to formalise the query “how many students only play the recorder”. What is the answer to this query? iii) If there were35students in the lecture, how many students played no instrument?
a) A survey of students in a lecture revealed that a total of 25 people played the guitar,10 played the recorder and15played the piano. Nobody played all three instruments, while 8 played only the guitar and the recorder,2 played only the recorder and the piano, and10played only the piano and the guitar. i) Draw a Venn diagram to illustrate the findings above. ii) Write a set expression to formalise the query “how many students only play the recorder”. What is the answer to this query? iii) If there were35students in the lecture, how many students played no instrument?
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 2CC
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a) A survey of students in a lecture revealed that a total of 25 people played the guitar,10 played the recorder and15played the piano. Nobody played all three instruments, while 8 played only the guitar and the recorder,2 played only the recorder and the piano, and10played only the piano and the guitar.
i) Draw a Venn diagram to illustrate the findings above.
ii) Write a set expression to formalise the query “how many students only play the recorder”. What is the answer to this query?
iii) If there were35students in the lecture, how many students played no instrument?
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