C. Solve the problem using Venn Diagram. In a group of 36 first year college male students, 22 like basketball, 18 like tennis, and 14 like volleyball. Of these students, 7 like both volleyball and basketball, 9 like both basketball and tennis, 5 like both tennis and volleyball, and 3 like the three sports. 1. How many students like volleyball only? 2. How many students like basketball but do not like tennis and volleyball? 3. How many students like at least 1 sport? 4. How many students like exactly 1 sport? 5. How many students like tennis only? Representation: Let, B = set of students who like basketball. T = set of students who are like tennis. V = set of students who like volleyball. В т

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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C. Solve the problem using Venn Diagram.
In a group of 36 first year college male students, 22 like basketball, 18 like tennis, and 14 like
volleyball. Of these students, 7 like both volleyball and basketball, 9 like both basketball and
tennis, 5 like both tennis and volleyball, and 3 like the three sports.
1. How many students like volleyball only?
2. How many students like basketball but do not like tennis and volleyball?
3. How many students like at least 1 sport?
4. How many students like exactly 1 sport?
5. How many students like tennis only?
Representation:
Let,
B = set of students who like basketball.
T= set of students who are like tennis.
V = set of students who like volleyball.
U
B
V
Transcribed Image Text:C. Solve the problem using Venn Diagram. In a group of 36 first year college male students, 22 like basketball, 18 like tennis, and 14 like volleyball. Of these students, 7 like both volleyball and basketball, 9 like both basketball and tennis, 5 like both tennis and volleyball, and 3 like the three sports. 1. How many students like volleyball only? 2. How many students like basketball but do not like tennis and volleyball? 3. How many students like at least 1 sport? 4. How many students like exactly 1 sport? 5. How many students like tennis only? Representation: Let, B = set of students who like basketball. T= set of students who are like tennis. V = set of students who like volleyball. U B V
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