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...multivariate data set (something equivalent to ANOSIM - analaysis of similarities for those familiar with this test). As with other permutation tests, for cases where there are large numbers of possible permutations, randomly sampling from these is appropriate, and can be done simply using sample(vector_x) to create each random permutation. However, where sample sizes are small, it is more appropriate (I think) to exhaustively calculate all possible permutations. This is equivalent to determining all possible ways of assigning n samples to each of k groups = (kn)!/[(n!)^k*k!]. As a relative beg...