Need step by step solution with venn diagram. 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?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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Need step by step solution with venn diagram.

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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