You could have a separate area for generating the unique random numbers. Have a range of 20 cells with =RAND() , and from those generate unique numbers from 1-20 by using a ranking formula like this:
Code:
=RANK(A1,$A$1:$A$20)+COUNTIF($A$1:A1,A1)-1
... assuming the random numbers are in range A1:A20.
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