The docstring of multiset_partitions describes how to count
partitions. It mentions the nT function, but not where to get it. It's
in sympy.functions.combinatorial.numbers

>>> from sympy.functions.combinatorial.numbers import nT
>>> from sympy.utilities.iterables import multiset_partitions
>>> len(list(multiset_partitions([1, 1, 2, 3], 3)))
4
>>> nT([1, 1, 2, 3], 3)
4

Also the docstring creates its own version of the Stirling numbers of
the second kind, but there is a striling() function in the same
module. So the documentation of multiset_partitions() could be
improved. Also, some of these functions should probably be included in
the default namespace (sympy/__init__.py).

Aaron Meurer

On Mon, Jun 17, 2019 at 2:40 PM Joan <[email protected]> wrote:
>
> I am using the multiset_partitions from sympy to get the possible 
> permutations of a list of elements, it does work wonderfully, but depending 
> on the case it will take a long time to generate the whole list.
> Is there any way I can calculate the number of permutations prior generating 
> them? It would help to discard some complex calculations to be made.
>
> Thanks
>
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