Hello. Given this group assignment vector x:

x= rep(letters[1:3],c(9,21,9))

I would like to know the number of all possible unique permutations of x and 
also obtain the matrix of them. Thus, each vector should still contain 9*a, 
21*b and 9*c, but case assigment must be different for one case (default at 
least 2) for each permuation. a, b and c can be interspersed in permuted 
vectors, i.e. order does not matter. If this unique permutation matrix is very 
large then I would like to choose a subset of it. I can easily permute the 
vector with sample(x) but if I repeat this n>1 times there is no guarantee of 
uniqueness. For a small number of samples, I could look for unique vectors and 
keep only those but this seems awkward and I suspect there are more elegant 
ways to do it.

Is there an r function which will allow me to calculate both how many unique 
permutations of x exist and also obtain a matrix of them and/or a subset of 
that matrix?

Thanks very much,
Daniel

______________________
Daniel Duplisea
PĂȘches et OcĂ©ans / Fisheries and Oceans Canada
Institut Maurice-Lamontagne
Mont-Joli, QC
G5H 3Z4
Canada
 
tel: 1 418 775 0881
fax: 1 418 775 0740

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