Let S = {1, 2, . . . , 100}. (a) Use the Principle of Inclusion-Exclusion to determine

Chapter 8, Problem 31

(choose chapter or problem)

Let S = {1, 2, . . . , 100}. (a) Use the Principle of Inclusion-Exclusion to determine the number of integers a S such that 3 | a, 5 | a or 7 | a. (b) How many integers a belong to S such that gcd(a, 100) = 1?

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