Possible combinations for elements of five vectors

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manish sharma 2015-7-9

0
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https://ww2.mathworks.cn/matlabcentral/answers/229150-possible-combinations-for-elements-of-five-vectors

评论： manish sharma 2015-7-9

采纳的回答： James Tursa

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Hello,

I am stuck with a question involving combinations (and permutations, may be!). I would really appreciate any help.

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I have five vectors:

D1=[a1 a2 a3]

D2=[b1 b2 b3]

...

D5=[e1 e2 e3]

where a1, a2, a3, b1, b2, b3, ....e1, e2, e3 are all positive integers

I am interested in getting all the possible combinations such that only one number is chosen from each vector. Each generated combination should therefore have 5 elements. For example:

[a1, b1, c1, d1, e1]

[a1, b2, c1, d1, e1]

...

etc.

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No need to mention but there shouldn't be any combination with size less or more than 5. And, just one element should be chosen from each vector. For example, [a1, b1, b2, c1, d1] shall not be in the solution since D2's elements are chosen twice and there ain't any chosen from D5.

I hope I was good enough with the words.

Thanks!