Let A = {1, 2,, 100}. For any i N, Define Ai as the set of

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Let A = {1, 2,⋯, 100}. For any i ∈ N, Define Ai as the set of numbers in A that are divisible by i. For example:A = {2,4,6,, 100}, As {3,6,9,,99}.

a. Find |A2|,|A3|,|A4|,|A5|.

b. Find |A2 ∪ A3 ∪ A5|.

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