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Find the number of solutions to the equation 1a+1b+1c+1d=1\frac{1}{a}+ \frac{1}{b}+ \frac{1}{c} +\frac{1}{d}=1a1+b1+c1+d1=1 where a, b, c, da,\ b,\ c,\ da, b, c, d are positive integers and a≤b≤c≤d.a\leq b \leq c \leq d.a≤b≤c≤d.
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