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Oct 25, 2021 at 21:08 history edited Derek Luna CC BY-SA 4.0
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Oct 24, 2021 at 6:57 comment added Derek Luna @MattF. It is clear to anyone the poster meant the distinctness requirement, but did not understand the non-transivity of $\neq$. Your suggestion otherwise is completely arbitrary, and I don't think anyone on MSE thought that's what they meant. The motivation is that there are clearly very many solutions (many simple) even when bounding the solutions by a small constant when one allows lack of distinctness, but seemingly none with distinctness.
Oct 24, 2021 at 6:53 comment added user44143 I downvoted because there is no motivation for the requirement that $a,b,c,d,e$ are all distinct, and because the MathStackExchange question in fact acts about $a\neq b\neq c\neq d\neq e\neq a$ (allowing $a=c$ and the like), which is equally unmotivated but different.
Oct 24, 2021 at 5:26 history edited Derek Luna CC BY-SA 4.0
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Oct 24, 2021 at 5:25 history edited Daniele Tampieri CC BY-SA 4.0
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Oct 24, 2021 at 5:14 history edited Derek Luna CC BY-SA 4.0
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S Oct 24, 2021 at 3:29 review First questions
Oct 24, 2021 at 6:57
S Oct 24, 2021 at 3:29 history asked Derek Luna CC BY-SA 4.0