How Many Ways are There to Order the Letters of Word USA?
The 3 letters word USA can be arranged in 6 distinct ways. The below detailed information shows how to find how many ways are there to order the letters USA and how it is being calculated in the real world problems.
Distinguishable Ways to Arrange the Word USA
The below step by step work generated by the word permutations calculator shows how to find how many different ways can the letters of the word USA be arranged.
Objective:
Find how many distinguishable ways are there to order the letters in the word USA.
Step by step workout:
step 1 Address the formula, input parameters and values to find how many ways are there to order the letters USA.
Formula:
nPr =n!/(n1! n2! . . . nr!)
Input parameters and values:
Total number of letters in USA:
n = 3
Distinct subsets:
Subsets : U = 1; S = 1; A = 1;
Subsets' count:
n1(U) = 1, n2(S) = 1, n3(A) = 1
step 2 Apply the values extracted from the word USA in the (nPr) permutations equation
nPr = 3!/(1! 1! 1! )
= 1 x 2 x 3/{(1) (1) (1)}
= 6/1
= 6
nPr of word USA = 6
Hence,
The letters of the word USA can be arranged in 6 distinct ways.
Apart from the word USA, you may try different words with various lengths with or without repetition of letters to observe how it affects the nPr word permutation calculation to find how many ways the letters in the given word can be arranged.
