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Chapter 6

Problem 99

In a group of 191 students, 10 are taking French, business, and music; 36 are taking French and business; 20 are taking French and music; 18 are taking business and music; 65 are taking French; 76 are taking business; and 63 are taking music. Use the Inclusion-Exclusion Principle for three finite sets (see Exercise 98 ) to determine how many students are not taking any of the three courses.

Problem 105

How many integers between 1 and 10,000 , inclusive, are multiples of 3 or 5 or 11 or 13 or any combination thereof?

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