One example where enumeration of these (with say a fixed sum) is useful is 
for computing ordered set partitions by breaking the problem up into sets 
of fixed sizes.

Best,
Travis


On Thursday, February 21, 2019 at 5:59:56 PM UTC+10, Jori Mäntysalo (TAU) 
wrote:
>
> On Tue, 19 Feb 2019, TB wrote: 
>
> > There is the cardinality method of IntegerVectors. Note that the default 
> for 
> > min_part is 0. 
>
> So this could be used for...? 
>
> I do not know the area. I was just playing with numbers (original question 
> was "In how many ways you can arrange a queue of 9 men and 7 women such 
> that no two women are next to each other?"), and noticed that 
> .cardinality() in sage/combinat/partition.py even has algorithm-parameter. 
> So I think there might be existing code just waiting for interface. 
>
> -- 
> Jori Mäntysalo 
>
> Tampereen yliopisto - Ihminen ratkaisee

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