Find all possible combinations of numbers with a specific array length

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I need to write a code that can find all possible combinations of 4 characters with a output length of 12
e.g. all possible combinations of A, B, C, and D with an output length of 12 would look something like
A A A A A A A A A A A A
A A A A A A A A A A A B
A A A A A A A A A A A C
A A A A A A A A A A A D
A A A A A A A A A A B A
etc
  2 Comments
William Rose
William Rose on 16 Nov 2023
@Jillyn Tittle, @Torsten is exactly right. The teacher could impart just as much understanding with this assignment if they specified output length=5, and thus only 1024 strings.

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Accepted Answer

Voss
Voss on 16 Nov 2023
One way:
chars = 'ABCD';
n_length = 12;
n_chars = numel(chars);
result = chars(1+dec2base((0:n_chars^n_length-1),n_chars)-'0')
result = 16777216×12 char array
'AAAAAAAAAAAA' 'AAAAAAAAAAAB' 'AAAAAAAAAAAC' 'AAAAAAAAAAAD' 'AAAAAAAAAABA' 'AAAAAAAAAABB' 'AAAAAAAAAABC' 'AAAAAAAAAABD' 'AAAAAAAAAACA' 'AAAAAAAAAACB' 'AAAAAAAAAACC' 'AAAAAAAAAACD' 'AAAAAAAAAADA' 'AAAAAAAAAADB' 'AAAAAAAAAADC' 'AAAAAAAAAADD' 'AAAAAAAAABAA' 'AAAAAAAAABAB' 'AAAAAAAAABAC' 'AAAAAAAAABAD' 'AAAAAAAAABBA' 'AAAAAAAAABBB' 'AAAAAAAAABBC' 'AAAAAAAAABBD' 'AAAAAAAAABCA' 'AAAAAAAAABCB' 'AAAAAAAAABCC' 'AAAAAAAAABCD' 'AAAAAAAAABDA' 'AAAAAAAAABDB' 'AAAAAAAAABDC' 'AAAAAAAAABDD' 'AAAAAAAAACAA' 'AAAAAAAAACAB' 'AAAAAAAAACAC' 'AAAAAAAAACAD' 'AAAAAAAAACBA' 'AAAAAAAAACBB' 'AAAAAAAAACBC' 'AAAAAAAAACBD' 'AAAAAAAAACCA' 'AAAAAAAAACCB' 'AAAAAAAAACCC' 'AAAAAAAAACCD' 'AAAAAAAAACDA' 'AAAAAAAAACDB' 'AAAAAAAAACDC' 'AAAAAAAAACDD' 'AAAAAAAAADAA' 'AAAAAAAAADAB' 'AAAAAAAAADAC' 'AAAAAAAAADAD' 'AAAAAAAAADBA' 'AAAAAAAAADBB' 'AAAAAAAAADBC' 'AAAAAAAAADBD' 'AAAAAAAAADCA' 'AAAAAAAAADCB' 'AAAAAAAAADCC' 'AAAAAAAAADCD' 'AAAAAAAAADDA' 'AAAAAAAAADDB' 'AAAAAAAAADDC' 'AAAAAAAAADDD' 'AAAAAAAABAAA' 'AAAAAAAABAAB' 'AAAAAAAABAAC' 'AAAAAAAABAAD' 'AAAAAAAABABA' 'AAAAAAAABABB' 'AAAAAAAABABC' 'AAAAAAAABABD' 'AAAAAAAABACA' 'AAAAAAAABACB' 'AAAAAAAABACC' 'AAAAAAAABACD' 'AAAAAAAABADA' 'AAAAAAAABADB' 'AAAAAAAABADC' 'AAAAAAAABADD' 'AAAAAAAABBAA' 'AAAAAAAABBAB' 'AAAAAAAABBAC' 'AAAAAAAABBAD' 'AAAAAAAABBBA' 'AAAAAAAABBBB' 'AAAAAAAABBBC' 'AAAAAAAABBBD' 'AAAAAAAABBCA' 'AAAAAAAABBCB' 'AAAAAAAABBCC' 'AAAAAAAABBCD' 'AAAAAAAABBDA' 'AAAAAAAABBDB' 'AAAAAAAABBDC' 'AAAAAAAABBDD' 'AAAAAAAABCAA' 'AAAAAAAABCAB' 'AAAAAAAABCAC' 'AAAAAAAABCAD' 'AAAAAAAABCBA' 'AAAAAAAABCBB' 'AAAAAAAABCBC' 'AAAAAAAABCBD' 'AAAAAAAABCCA' 'AAAAAAAABCCB' 'AAAAAAAABCCC' 'AAAAAAAABCCD' 'AAAAAAAABCDA' 'AAAAAAAABCDB' 'AAAAAAAABCDC' 'AAAAAAAABCDD' 'AAAAAAAABDAA' 'AAAAAAAABDAB' 'AAAAAAAABDAC' 'AAAAAAAABDAD' 'AAAAAAAABDBA' 'AAAAAAAABDBB' 'AAAAAAAABDBC' 'AAAAAAAABDBD' 'AAAAAAAABDCA' 'AAAAAAAABDCB' 'AAAAAAAABDCC' 'AAAAAAAABDCD' 'AAAAAAAABDDA' 'AAAAAAAABDDB' 'AAAAAAAABDDC' 'AAAAAAAABDDD' 'AAAAAAAACAAA' 'AAAAAAAACAAB' 'AAAAAAAACAAC' 'AAAAAAAACAAD' 'AAAAAAAACABA' 'AAAAAAAACABB' 'AAAAAAAACABC' 'AAAAAAAACABD' 'AAAAAAAACACA' 'AAAAAAAACACB' 'AAAAAAAACACC' 'AAAAAAAACACD' 'AAAAAAAACADA' 'AAAAAAAACADB' 'AAAAAAAACADC' 'AAAAAAAACADD' 'AAAAAAAACBAA' 'AAAAAAAACBAB' 'AAAAAAAACBAC' 'AAAAAAAACBAD' 'AAAAAAAACBBA' 'AAAAAAAACBBB' 'AAAAAAAACBBC' 'AAAAAAAACBBD' 'AAAAAAAACBCA' 'AAAAAAAACBCB' 'AAAAAAAACBCC' 'AAAAAAAACBCD' 'AAAAAAAACBDA' 'AAAAAAAACBDB' 'AAAAAAAACBDC' 'AAAAAAAACBDD' 'AAAAAAAACCAA' 'AAAAAAAACCAB' 'AAAAAAAACCAC' 'AAAAAAAACCAD' 'AAAAAAAACCBA' 'AAAAAAAACCBB' 'AAAAAAAACCBC' 'AAAAAAAACCBD' 'AAAAAAAACCCA' 'AAAAAAAACCCB' 'AAAAAAAACCCC' 'AAAAAAAACCCD' 'AAAAAAAACCDA' 'AAAAAAAACCDB' 'AAAAAAAACCDC' 'AAAAAAAACCDD' 'AAAAAAAACDAA' 'AAAAAAAACDAB' 'AAAAAAAACDAC' 'AAAAAAAACDAD' 'AAAAAAAACDBA' 'AAAAAAAACDBB' 'AAAAAAAACDBC' 'AAAAAAAACDBD' 'AAAAAAAACDCA' 'AAAAAAAACDCB' 'AAAAAAAACDCC' 'AAAAAAAACDCD' 'AAAAAAAACDDA' 'AAAAAAAACDDB' 'AAAAAAAACDDC' 'AAAAAAAACDDD' 'AAAAAAAADAAA' 'AAAAAAAADAAB' 'AAAAAAAADAAC' 'AAAAAAAADAAD' 'AAAAAAAADABA' 'AAAAAAAADABB' 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'AAAAAACDDBDA' 'AAAAAACDDBDB' 'AAAAAACDDBDC' 'AAAAAACDDBDD' 'AAAAAACDDCAA' 'AAAAAACDDCAB' 'AAAAAACDDCAC' 'AAAAAACDDCAD' 'AAAAAACDDCBA' 'AAAAAACDDCBB' 'AAAAAACDDCBC' 'AAAAAACDDCBD' 'AAAAAACDDCCA' 'AAAAAACDDCCB' 'AAAAAACDDCCC' 'AAAAAACDDCCD' 'AAAAAACDDCDA' 'AAAAAACDDCDB' 'AAAAAACDDCDC' 'AAAAAACDDCDD' 'AAAAAACDDDAA' 'AAAAAACDDDAB' 'AAAAAACDDDAC' 'AAAAAACDDDAD' 'AAAAAACDDDBA' 'AAAAAACDDDBB' 'AAAAAACDDDBC' 'AAAAAACDDDBD' 'AAAAAACDDDCA' 'AAAAAACDDDCB' 'AAAAAACDDDCC' 'AAAAAACDDDCD' 'AAAAAACDDDDA' 'AAAAAACDDDDB' 'AAAAAACDDDDC' 'AAAAAACDDDDD' 'AAAAAADAAAAA' 'AAAAAADAAAAB' 'AAAAAADAAAAC' 'AAAAAADAAAAD' 'AAAAAADAAABA' 'AAAAAADAAABB' 'AAAAAADAAABC' 'AAAAAADAAABD' 'AAAAAADAAACA' 'AAAAAADAAACB' 'AAAAAADAAACC' 'AAAAAADAAACD' 'AAAAAADAAADA' 'AAAAAADAAADB' 'AAAAAADAAADC' 'AAAAAADAAADD' 'AAAAAADAABAA' 'AAAAAADAABAB' 'AAAAAADAABAC' 'AAAAAADAABAD' 'AAAAAADAABBA' 'AAAAAADAABBB' 'AAAAAADAABBC' 'AAAAAADAABBD' 'AAAAAADAABCA' 'AAAAAADAABCB' 'AAAAAADAABCC' 'AAAAAADAABCD' 'AAAAAADAABDA' 'AAAAAADAABDB' 'AAAAAADAABDC' 'AAAAAADAABDD' 'AAAAAADAACAA' 'AAAAAADAACAB' 'AAAAAADAACAC' 'AAAAAADAACAD' 'AAAAAADAACBA' 'AAAAAADAACBB' 'AAAAAADAACBC' 'AAAAAADAACBD' 'AAAAAADAACCA' 'AAAAAADAACCB' 'AAAAAADAACCC' 'AAAAAADAACCD' 'AAAAAADAACDA' 'AAAAAADAACDB' 'AAAAAADAACDC' 'AAAAAADAACDD' 'AAAAAADAADAA' 'AAAAAADAADAB' 'AAAAAADAADAC' 'AAAAAADAADAD' 'AAAAAADAADBA' 'AAAAAADAADBB' 'AAAAAADAADBC' 'AAAAAADAADBD' 'AAAAAADAADCA' 'AAAAAADAADCB' 'AAAAAADAADCC' 'AAAAAADAADCD' 'AAAAAADAADDA' 'AAAAAADAADDB' 'AAAAAADAADDC' 'AAAAAADAADDD' 'AAAAAADABAAA' 'AAAAAADABAAB' 'AAAAAADABAAC' 'AAAAAADABAAD' 'AAAAAADABABA' 'AAAAAADABABB' 'AAAAAADABABC' 'AAAAAADABABD' 'AAAAAADABACA' 'AAAAAADABACB' 'AAAAAADABACC' 'AAAAAADABACD' 'AAAAAADABADA' 'AAAAAADABADB' 'AAAAAADABADC' 'AAAAAADABADD' 'AAAAAADABBAA' 'AAAAAADABBAB' 'AAAAAADABBAC' 'AAAAAADABBAD' 'AAAAAADABBBA'

More Answers (2)

Bruno Luong
Bruno Luong on 16 Nov 2023
char(dec2base(0:4^12-1,4)+('A'-'0'))

Torsten
Torsten on 16 Nov 2023
Moved: Torsten on 16 Nov 2023
M = categorical(["A","B","C","D"]);
combinations(M,M,M,M,M,M,M,M,M,M,M,M)
ans = 16777216×12 table
M M_1 M_2 M_3 M_4 M_5 M_6 M_7 M_8 M_9 M_10 M_11 _ ___ ___ ___ ___ ___ ___ ___ ___ ___ ____ ____ A A A A A A A A A A A A A A A A A A A A A A A B A A A A A A A A A A A C A A A A A A A A A A A D A A A A A A A A A A B A A A A A A A A A A A B B A A A A A A A A A A B C A A A A A A A A A A B D A A A A A A A A A A C A A A A A A A A A A A C B A A A A A A A A A A C C A A A A A A A A A A C D A A A A A A A A A A D A A A A A A A A A A A D B A A A A A A A A A A D C A A A A A A A A A A D D

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