Only answer the last two questions: A group of 62 students was surveyed, and it was found that each of the students surveyed liked at least one of the following three fruits: apricot, bananas, and cantaloupes.             34 liked apricots             30 liked bananas             33 liked cantaloupes             11 liked apricots and bananas             15 liked bananas and cantaloupes             17 liked apricots and cantaloupes             19 liked exactly two of the fruits      How many students liked: a. bananas or apricots? Answer: 53 b. apricots and bananas but not cantaloupes? Answer: 3 c. cantaloupes or apricots but not bananas? Answer: 33 d.  at least two of the fruits? _______ e.  at most two of the fruits? ________

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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Only answer the last two questions:

A group of 62 students was surveyed, and it was found that each of the students surveyed liked at least one of the following three fruits: apricot, bananas, and cantaloupes.

            34 liked apricots

            30 liked bananas

            33 liked cantaloupes

            11 liked apricots and bananas

            15 liked bananas and cantaloupes

            17 liked apricots and cantaloupes

            19 liked exactly two of the fruits   

 

How many students liked:

a. bananas or apricots? Answer: 53

b. apricots and bananas but not cantaloupes? Answer: 3

c. cantaloupes or apricots but not bananas? Answer: 33

d.  at least two of the fruits? _______

e.  at most two of the fruits? ________


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