# How many Ways to Arrange 3 Letters Word USA?

6 is the number of ways to arrange 3 letters (alphabets) word "USA" by using *Permutations (nPr)* formula. Users may refer the below workout with step by step procedure to understand how to estimate how many number of ways to arrange 3 alphabets or letters of a "USA".
The partial possible number of ways to arrange the letters of word "USA" are ASU, USA, SUA. Refresh the page to get the another set of partial arrangements.

## Distinct Ways to Arrange Word USA - Workout

The below workout is the step by step procedure to find how many number of distinct ways to arrange the 3 letters (alphabets) of word "USA". Users may use any other word by changing the word "USA" to find the total number of distinct ways to arrange different words.

__Step by step workout__

step 1 Address the formula, input parameters and values

__Formula:__

nPr =n!/(n1! n2! . . . nk!)

__Input Parameters & Values:__

Total number of alphabets (n) & subsets (n1, n2, . . nk) in the word "USA"

n = 3

Subsets : U = 1; S = 1; A = 1;

n_{1}(U) = 1, n_{2}(S) = 1, n_{3}(A) = 1

step 2 Apply the input parameter values in the nPr formula

= 3!/(1! 1! 1! )

= 1 x 2 x 3/{(1) (1) (1)}

= 6/1

= 6

In 6 distinct ways, the letters of word "USA" can be arranged.