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Let a rational number $\frac{a}{b}$ in its lowest form where $a$,$b$ are integers, with $0 < \frac{a}{b}< 1$, b > 1. How many of these have $ab = 15!$

Consider a rational number $\frac{a}{b}$ in its lowest form where $a$, $b$ are integers, with $0 < \frac{a}{b}< 1$, b > 1. How many of these have $ab = 15!$ Solution Given in Book: $15!=2^{11}...
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