What are the solutions to the equation x! +y! +z! =( (x+y+z)!)?

Good answer to an interesting question. Math lovers should enjoy this.

https://www.quora.com/What-are-the-solutions-to-the-equation-x-y-z-x-y-z/answer/Mark-Gritter?share=fac7c825&srid=iu9R