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How many different pairs of integers \((a, b)\) exist such

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by AAPL » Thu Mar 14, 2019 5:33 am

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How many different pairs of integers \((a, b)\) exist such that \(2 \leq a \leq 200\) and \(a+b > a^b\)? (Two pairs of numbers are considered different if either \(a\) or \(b\) differs. For example, \((2, 3)\) and \((2, 4)\) are considered different, although they don't satisfy the requirements of this problem.)

A. 594
B. 738
C. 5,940
D. 19,800
E. 20,298

OA E
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