# How Many Ways are There to Order the Letters of Word GEORGIA?

The 7 letters word GEORGIA can be arranged in 2520 distinct ways. The below detailed information shows how to find how many ways are there to order the letters GEORGIA and how it is being calculated in the real world problems.

**Distinguishable Ways to Arrange the Word GEORGIA**

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 GEORGIA be arranged.

__Objective:__

Find how many distinguishable ways are there to order the letters in the word GEORGIA.

__Step by step workout:__

step 1 Address the formula, input parameters and values to find how many ways are there to order the letters GEORGIA.

__Formula:__

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

__Input parameters and values:__

Total number of letters in GEORGIA:

n = 7

Distinct subsets:

Subsets : G = 2; E = 1; O = 1; R = 1; I = 1; A = 1;

Subsets' count:

n_{1}(G) = 2, n_{2}(E) = 1, n_{3}(O) = 1, n_{4}(R) = 1, n_{5}(I) = 1, n_{6}(A) = 1

step 2 Apply the values extracted from the word GEORGIA in the (nPr) permutations equation

nPr = 7!/(2! 1! 1! 1! 1! 1! )

= 1 x 2 x 3 x 4 x 5 x 6 x 7/{(1 x 2) (1) (1) (1) (1) (1)}

= 5040/2

= 2520

nPr of word GEORGIA = 2520

Hence,

The letters of the word GEORGIA can be arranged in 2520 distinct ways.

Apart from the word GEORGIA, 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.