Another way to play with ..
Assuming the list of numbers* to be assigned is in A1:A10
*or whatever item needs to be assigned
Put in say, E1: =RAND()
Copy down to E10
Put in B1:
=INDEX(A:A,MATCH(SMALL(E:E,ROWS($A$1:A1)),E:E,0))
Copy B1 down to B10
B1:B10 will return a non-repeating randomized shuffle
of the 10 numbers (or items) in A1:A10
Press / tap F9 to recalc / re-generate a fresh selection
Just freeze the results elsewhere
with a copy > paste special > values > ok
Adapt to suit ..