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B. In a certain school, 50 students in a certain class were as follows: 30 enrolled in Algebra 25 enrolled in Physics 25 enrolled in Chemistry 14 enrolled in Chemistry and Algebra 12 enrolled in Chemistry and Physics 11 enrolled in Algebra and Physics 5 enrolled in three subjects How many students were enrolled in a. exactly one subject exactly two subjects b. at most two subjects at most one subject a. Algebra or Physics b. Algebra and Physics a. Algebra and Physics but not Chemistry b. Physics and Chemistry but not Algebra a. Algebra only b. Physics only a. b. 8 How many students did not enroll in any of the three subjects? How many students did not enroll in Algebra and Physics?

B. In a certain school, 50 students in a certain class were as follows: 30 enrolled in Algebra 25 enrolled in Physics 25 enrolled in Chemistry 14 enrolled in Chemistry and Algebra 12 enrolled in Chemistry and Physics 11 enrolled in Algebra and Physics 5 enrolled in three subjects How many students were enrolled in a. exactly one subject exactly two subjects b. at most two subjects at most one subject a. Algebra or Physics b. Algebra and Physics a. Algebra and Physics but not Chemistry b. Physics and Chemistry but not Algebra a. Algebra only b. Physics only a. b. 8 How many students did not enroll in any of the three subjects? How many students did not enroll in Algebra and Physics?

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 5SE: Answer the following questions. 5. What is the term for the arrangement that selects r objects from...
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III. Solve the following problems using Venn diagram and answer the question. A. Fifty families were interviewed regarding 2 known brands of soaps they prefer to use labeled as A and B. 15 families were for brand A 20 families were for brand B 7 families were for both A and B A ^∞ a. How many families were using brand A only? Brand B only? b. How many families do not use any of the 2 brands of soap? c. How many families were using at least one of the two brands of soaps? B
Transcribed Image Text:III. Solve the following problems using Venn diagram and answer the question. A. Fifty families were interviewed regarding 2 known brands of soaps they prefer to use labeled as A and B. 15 families were for brand A 20 families were for brand B 7 families were for both A and B A ^∞ a. How many families were using brand A only? Brand B only? b. How many families do not use any of the 2 brands of soap? c. How many families were using at least one of the two brands of soaps? B
B. In a certain school, 50 students in a certain class were enrolled in three subjects as follows: 30 enrolled in Algebra 25 enrolled in Physics 25 enrolled in Chemistry 14 enrolled in Chemistry and Algebra 12 enrolled in Chemistry and Physics 11 enrolled in Algebra and Physics 5 enrolled in three subjects any students were enrolled in exactly one subject b. exactly two subjects at most two subjects at most one subject Algebra or Physics Algebra and Physics Algebra and Physics but not Chemistry Physics and Chemistry but not Algebra Algebra only Physics only C P How many students did not enroll in any of the three subjects? How many students did not enroll in Algebra and Physics?
Transcribed Image Text:B. In a certain school, 50 students in a certain class were enrolled in three subjects as follows: 30 enrolled in Algebra 25 enrolled in Physics 25 enrolled in Chemistry 14 enrolled in Chemistry and Algebra 12 enrolled in Chemistry and Physics 11 enrolled in Algebra and Physics 5 enrolled in three subjects any students were enrolled in exactly one subject b. exactly two subjects at most two subjects at most one subject Algebra or Physics Algebra and Physics Algebra and Physics but not Chemistry Physics and Chemistry but not Algebra Algebra only Physics only C P How many students did not enroll in any of the three subjects? How many students did not enroll in Algebra and Physics?
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