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Re: FullSimplify again ...


Actually, it's not all that strange. If you consider n to be real, the
expression 0 at anything but a few integers making the function 0
except for a few holes.

In[43]:=
FullSimplify[Product[(5-i)/5,{i,1,n}],n\[Element]Integers]

Out[43]:=
(-1/5)^n*Pochhammer[-4, n]


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