How do you write all permutations of the letters A, B, C, D?

1 Answer
May 8, 2017

Answer:

Use alphabetical order...

Explanation:

To enumerate all the permutations in ascending alphabetical order, list all the permutations beginning with A, then those beginning with B, C, D.

For each choice of initial letter, enumerate each of the possible permutations of the three remaining letters similarly, etc...

ABCD, ABDC, ACBD, ACDB, ADBC, ADCB,
BACD, BADC, BCAD, BCDA, BDAC, BDCA,
CABD, CADB, CBAD, CBDA, CDAB, CDBA,
DABC, DACB, DBAC, DBCA, DCAB, DCBA