5. In a school of 36 students, 19 of them studies Music and 16 studies Art. Each student studies at least one of the two subjects. Draw a Venn diagram to illustrate the information. How many students study both subjects? How many students study Art only? i. ii. iii.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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6. a) In a school of 36 students, 19 of them studies Music and 16 studies Art. Each
student studies at least one of the two subjects.
i.
Draw a Venn diagram to illustrate the information.
ii.
How many students study both subjects?
iii.
How many students study Art only?
7. al 25 students in a class took an examination in mathematics and science. 17 of
them passed in science and 8 of them passed in both mathematics and science. 3
students did not pass in any of the two subjects. Illustrate the information on a
Venn diagram.
i.
How many passed in mathematics?
ii.
How many students passed in only one subject?
i.
What is the probability of meeting a student who passed in only one
subject?
8. a] In a class of 30 students, 12 study Mathematics and 20 study Science. Each
student studies at least one of the two subjects. Find the number of students who
study:
i.
both subjects
ii.
only mathematics
iii.
only science
iv.
only one subjects.
Transcribed Image Text:6. a) In a school of 36 students, 19 of them studies Music and 16 studies Art. Each student studies at least one of the two subjects. i. Draw a Venn diagram to illustrate the information. ii. How many students study both subjects? iii. How many students study Art only? 7. al 25 students in a class took an examination in mathematics and science. 17 of them passed in science and 8 of them passed in both mathematics and science. 3 students did not pass in any of the two subjects. Illustrate the information on a Venn diagram. i. How many passed in mathematics? ii. How many students passed in only one subject? i. What is the probability of meeting a student who passed in only one subject? 8. a] In a class of 30 students, 12 study Mathematics and 20 study Science. Each student studies at least one of the two subjects. Find the number of students who study: i. both subjects ii. only mathematics iii. only science iv. only one subjects.
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