Hi,

I've spotted a strange behaviour of Permutations.cardinality(): first it 
reports a weird number, but after a call to list() it gets ok. Any reason 
why?

I copy a code that compares the behaviour of Tuples, Permutations and 
Arrangements.

%%%%%%%%%%%%%%%
from sage.combinat.permutation import *
from sage.combinat.tuple import *

ms=[1,1,1,2,2,2,3,3,3]

tms = Tuples(ms,3)
pms = Permutations_msetk(ms,3)
ams = Arrangements_msetk(ms,3)

print("ctms: " + str(tms.cardinality()))
print("cpms: " + str(pms.cardinality()))
print("cams: " + str(ams.cardinality()))

print("ltms: " + str(tms.list()))
print("lpms: " + str(pms.list()))
print("lams: " + str(ams.list()))

print("ctms: " + str(tms.cardinality()))
print("cpms: " + str(pms.cardinality()))
print("cams: " + str(ams.cardinality()))
%%%%%%%%%%%%%%%

Best,
Karol

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