When some of those objects are identical, the situation is transformed into a problem about permutations with repetition. Number of combinations w/ repetition is equal to (n + r - 1)! ... take at least one element from each vector, with repetition allowed only for the shorter vector. Generating all combinations without repetition using MATLAB. MATLAB: All combinations from a set of rows without repetition of elements. Viewed 2k times 1. That's much more efficient than generating all combinations and choosing those with the correct sum. Say I have this line of code: c=nchoosek(1:6,2) , it gives: Skip to content. With combinations, one does not consider the order in which objects were placed. all combinations without repetition. All possible combinations of 2 vectors.. / (r! combos = combntns(set,subset) returns a matrix whose rows are the various combinations that can be taken of the elements of the vector set of length subset.Many combinatorial applications can make use of a vector 1:n for the input set to return generalized, indexed combination subsets.. Without repetition is appropriate when supply is limited; with repetition when supply is unlimited. – Mark Dickinson Feb 1 '14 at 16:54 where n = 7 for my purposes and r is a changeable number of spots as I called it. So you're looking at permuting 8 things: combinations of the 6 objects and the 2 dividers. This algorithm (program in Matlab) calculates the number of permutations and combinations of … Say I have this line of code: c=nchoosek(1:6,2) , it gives: Description. For maximum compatibility, this program uses only the basic instruction set (S/360) and two ASSIST macros (XDECO, XPRNT) to keep the code as short as possible. The combntns function provides the combinatorial subsets of a set of numbers. I want to find all the possible combinations from a set of pairs. So what is the rule? This example will help explaining the problem better. Toggle Main Navigation. In distinguishing between combinations allowing repetition and those not, I think it's a question of supply of the objects being selected that's important to consider. A permutation of a set of objects is an ordering of those objects. Nice algorithm without recursion borrowed from C. Recursion is elegant but iteration is efficient. This example will help explaining the problem better. I want to find all the possible combinations from a set of pairs. Ask Question Asked 5 years, 5 months ago. This number of combinations will be the number of rows and the number of spots is the number of columns in the output. You should be able to manipulate the results of e.g., nchoosek(1:8, 2) to give you what you need. Learn more about combinations . But then the last row breaks this. Active 5 years, 5 months ago. Combinations with repetitions You are encouraged to solve this task according to the task description, using any language you may know. * (n-1)!) Spots as I called it were placed vector, with repetition allowed only for the vector... All the possible combinations from a set of pairs years, 5 ago... 1 '14 at 16:54 all possible combinations of the 6 objects and the number of spots is the number spots... W/ repetition is appropriate when supply is limited ; with repetition allowed only for shorter! It gives: Generating all combinations from a set of pairs efficient than Generating all combinations and those... With repetition allowed only for the shorter vector as I called it this of. Much more efficient than Generating all combinations from a set of pairs permuting 8 things: of! Those objects are identical, the situation is transformed into a problem about permutations with allowed... 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