Please check the solutions- – math.stackexchange.com

Question $1$: Does there exist an integer $z$ that can be written in two different ways as $z=x!+y!$,where $x,y\in \mathbb N$ and $x\leq y$? Answer: $0!=1!$ so $0!+2!=3=1!+2!$ Question $2$: If ...

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