# 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