Anonymous
Anonymous asked in Science & MathematicsMathematics · 9 years ago

What four-letter sets are possible using the letters A, B, C, and D?

*With* repetitions allowed, that is. I can't think of all of them. I'm a math putz, I know. Help, please?

Thank you!!

3 Answers

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  • 9 years ago
    Favorite Answer

    AAAA

    AAAB

    AAAC

    AAAD

    AABA

    AABB

    AABC

    AABD

    AACA

    AACB

    AACC

    AACD

    AADA

    AADB

    AADC

    AADD

    ABAA

    ABAB

    ABAC

    ABAD

    ABBA

    ABBB

    ABBC

    ABBD

    ABCA

    ABCB

    ABCC

    ABCD

    ABDA

    ABDB

    ABDC

    ABDD

    ACAA

    ACAB

    ACAC

    ACAD

    ACBA

    ACBB

    ACBC

    ACBD

    ACCA

    ACCB

    ACCC

    ACCD

    ACDA

    ACDB

    ACDC

    ACDD

    ADAA

    ADAB

    ADAC

    ADAD

    ADBA

    ADBB

    ADBC

    ADBD

    ADCA

    ADCB

    ADCC

    ADCD

    ADDA

    ADDB

    ADDC

    ADDD

    BAAA

    BAAB

    BAAC

    BAAD

    BABA

    BABB

    BABC

    BABD

    BACA

    BACB

    BACC

    BACD

    BADA

    BADB

    BADC

    BADD

    BBAA

    BBAB

    BBAC

    BBAD

    BBBA

    BBBB

    BBBC

    BBBD

    BBCA

    BBCB

    BBCC

    BBCD

    BBDA

    BBDB

    BBDC

    BBDD

    BCAA

    BCAB

    BCAC

    BCAD

    BCBA

    BCBB

    BCBC

    BCBD

    BCCA

    BCCB

    BCCC

    BCCD

    BCDA

    BCDB

    BCDC

    BCDD

    BDAA

    BDAB

    BDAC

    BDAD

    BDBA

    BDBB

    BDBC

    BDBD

    BDCA

    BDCB

    BDCC

    BDCD

    BDDA

    BDDB

    BDDC

    BDDD

    CAAA

    CAAB

    CAAC

    CAAD

    CABA

    CABB

    CABC

    CABD

    CACA

    CACB

    CACC

    CACD

    CADA

    CADB

    CADC

    CADD

    CBAA

    CBAB

    CBAC

    CBAD

    CBBA

    CBBB

    CBBC

    CBBD

    CBCA

    CBCB

    CBCC

    CBCD

    CBDA

    CBDB

    CBDC

    CBDD

    CCAA

    CCAB

    CCAC

    CCAD

    CCBA

    CCBB

    CCBC

    CCBD

    CCCA

    CCCB

    CCCC

    CCCD

    CCDA

    CCDB

    CCDC

    CCDD

    CDAA

    CDAB

    CDAC

    CDAD

    CDBA

    CDBB

    CDBC

    CDBD

    CDCA

    CDCB

    CDCC

    CDCD

    CDDA

    CDDB

    CDDC

    CDDD

    DAAA

    DAAB

    DAAC

    DAAD

    DABA

    DABB

    DABC

    DABD

    DACA

    DACB

    DACC

    DACD

    DADA

    DADB

    DADC

    DADD

    DBAA

    DBAB

    DBAC

    DBAD

    DBBA

    DBBB

    DBBC

    DBBD

    DBCA

    DBCB

    DBCC

    DBCD

    DBDA

    DBDB

    DBDC

    DBDD

    DCAA

    DCAB

    DCAC

    DCAD

    DCBA

    DCBB

    DCBC

    DCBD

    DCCA

    DCCB

    DCCC

    DCCD

    DCDA

    DCDB

    DCDC

    DCDD

    DDAA

    DDAB

    DDAC

    DDAD

    DDBA

    DDBB

    DDBC

    DDBD

    DDCA

    DDCB

    DDCC

    DDCD

    DDDA

    DDDB

    DDDC

    DDDD

    Source(s): PERL command: perl -e "for $a (A,B,C,D) {for $b (A,B,C,D) {for $c (A,B,C,D) {for $d (A,B,C,D) {print \"$a$b$c$d\n\";}}}}"
  • 9 years ago

    There are 256. I'm not listing them.

    If you are desperate, Write

    A

    B

    C

    D

    A

    B

    C

    D (etc) in the first column (64 cycles of ABCD)

    THEN in the second column, write

    A

    A

    A

    A

    B

    B

    B

    B

    C

    C

    C

    C

    D

    D

    D

    D

    sixteen times of Ax4, Bx4 etc.

    THEN

    each letter 16 times (four times)

    Then each letter 64 times, once each.

    That will list them all.

  • 9 years ago

    there are 256.

    4x4x4x4

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