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: bananas or apricots? ________ apricots and bananas but not cantaloupes? ______ cantaloupes or apricots but not bananas? _______ at least two of the fruits? _______ at most two of the fruits? ________ Note: show the detailed and clear solution

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
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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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:

bananas or apricots? ________

apricots and bananas but not cantaloupes? ______

cantaloupes or apricots but not bananas? _______

at least two of the fruits? _______

at most two of the fruits? ________


Note: show the detailed and clear solution

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