Problem

In Exercises, let U = {1, 2, 3, …, 1689}, A = {x | x e U and 3 | x}, B = {y | y e U and 5...

In Exercises, let U = {1, 2, 3, …, 1689}, A = {x | x e U and 3 | x}, B = {y | y e U and 5 | y}, and C = {z | z e U and 11 | z}. Compute each of the following.

Exercise

(a) The number of elements in U that are divisible by 15


(b) The number of elements of U that are divisible by 165


(c) The number of elements of U that are divisible by 55

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