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A total of 100 clients are surveyed as to what kind of computer system is available to

Chapter 8, Problem 15

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QUESTION:

A total of 100 clients are surveyed as to what kind of computer system is available to them. It is learned that 66 have a Windows-based system available to them, 35 have a Unix system available to them, 28 have a Macintosh system available to them, 20 have access to both Windows and Unix systems, 10 have access to both Unix and Macintosh systems and 25 have access to both Windows and Macintosh systems. How many have access to all three of these systems?

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QUESTION:

A total of 100 clients are surveyed as to what kind of computer system is available to them. It is learned that 66 have a Windows-based system available to them, 35 have a Unix system available to them, 28 have a Macintosh system available to them, 20 have access to both Windows and Unix systems, 10 have access to both Unix and Macintosh systems and 25 have access to both Windows and Macintosh systems. How many have access to all three of these systems?

ANSWER:

Step 1 of 4

The Principle of Inclusion-Exclusion (abbreviated PIE) provides an organized method/ formula to find the number of elements in the union of a given group of sets, the size of each set, and the size of all possible intersections among the sets.

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