Question

If x^x.y^y.z^z = x^y.y^z.z^x = x^z.y^x.z^y such that x,y and care positive integers greater than 1 , then which of the following cannot be true for any possible value of x , y and a ?

1) xyz=27
2) xyz=1728
3) x+y+z =32
4) x+y+z =12

Answer 1

if the product of the numbers is 27 , then the given cases satisfies.

so, option a is correct.

(there is a small property on this particular problem ).