FERMAT 2008 Problem 24

Past Contests FERMAT FERMAT - 2008
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1

The number of triples (a,b,c) of positive integers such that \displaystyle\frac1a+\frac1b+\frac1c=\frac34 is

Answer Choices
A. 16
B. 25
C. 31
D. 19
E. 34