Number TheorySuperchallengeDiophantine Equations ShareDiophantine Equations · Superchallenge problemHow many ordered triples of positive integers (a,b,c)(a, b, c)(a,b,c) satisfy (1+1a)(1+1b)(1+1c)=2\left(1 + \dfrac1a\right)\left(1 + \dfrac1b\right)\left(1 + \dfrac1c\right) = 2(1+a1)(1+b1)(1+c1)=2? (Order matters.)Check Show answer Walk through it step by step Practice more like this Review this concept