A group of 65 students were surveyed, and it was found that each of the students surveyed liked at least one of the following three fruits: apricots, bananas, and cantaloupes. 37 liked apricots. 32 liked bananas. 35 liked cantaloupes. 11 liked apricots and bananas. 17 liked bananas and cantaloupes. 18 liked apricots and cantaloupes. 25 liked exactly two of the following fruits: apricots, bananas, and cantaloupes a. How many students liked apricots, cantaloupes or bananas? b. How many students liked apricots or bananas or both? c. How many students liked at most 1 fruit?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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A group of 65 students were surveyed, and it was found that each of the students surveyed liked at least one of the following three fruits: apricots, bananas, and cantaloupes. 37 liked apricots. 32 liked bananas. 35 liked cantaloupes. 11 liked apricots and bananas. 17 liked bananas and cantaloupes. 18 liked apricots and cantaloupes. 25 liked exactly two of the following fruits: apricots, bananas, and cantaloupes



a. How many students liked apricots, cantaloupes or bananas?

b. How many students liked apricots or bananas or both?

c. How many students liked at most 1 fruit?

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