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SymPy can make use of Python's generators, which compute things like
this one at a time, rather than all at once (which would indeed fill
all your memory). For instance in the Python standard library
from itertools import permutations
computes permutations as a generator.
Of course, any computation you do will still need to not store every
permutation in memory, which will necessarily use more memory than you
have due to the large number of combinations.
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Hello.
There is n! permutations of a set of n elements and n! ~ sqrt(2 pi n) (n/e)^n due to the Stirling's approximation. So you can expect to have all the permuations with not small value of n.