A group of 54 students were surveyed, and it was found that each of the students surveyed liked at least one of the following three fruit: apples, blueberries and cranberries. 28 liked apples 36 liked blueberries 31 liked cranberries 8 liked apples and blueberries, but not cranberries 9 liked blueberries and cranberries, but not apples 11 liked all three of the following fruit: apples, blueberries and cranberries. a.) How many students liked apples, but not blueberries or cranberries? b.) How many students liked cranberries, but not blueberries or apples? c.) How many students liked none of the following three fruit: apples, blueberries and cranberries?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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A group of 54 students were surveyed, and it was found that each of the students
surveyed liked at least one of the following three fruit: apples, blueberries and cranberries.
28 liked apples
36 liked blueberries
31 liked cranberries
8 liked apples and blueberries, but not cranberries
9 liked blueberries and cranberries, but not apples
11 liked all three of the following fruit: apples, blueberries and cranberries.
a.) How many students liked apples, but not blueberries or cranberries?
b.) How many students liked cranberries, but not blueberries or apples?
c.) How many students liked none of the following three fruit: apples, blueberries and
cranberries?

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