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Unique Ways to Arrange Alphabets of Word EYE

The 3 letters word EYE can be arranged in 3 distinct ways. The below detailed information shows how to find how many ways are there to order the letters EYE and how it is being arranged in the real world problems.

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Possible Arrangements of Alphabets in "EYE"

The 3 letters word EYE can be arranged in 3 unique ways. Below is the list of all possible unique arrangements:

1. EEY
2. EYE
3. YEE

Unique Ways to Arrange the Word EYE
The below step by step work generated by this permutation calculator shows how to find how many different ways, the letters of the word EYE can be arranged.

Objective:
Find how many distinguishable ways are there to order the letters in the word EYE.

Step by step workout:
step 1 Address the formula, input parameters and values to find how many ways are there to order the letters EYE.
Formula:
nPr =n!/(n1! n2! . . . nr!)

Input parameters and values:
Total number of letters in EYE:
n = 3

Distinct subsets:
Subsets : E = 2; Y = 1;
Subsets' count:
n1(E) = 2, n2(Y) = 1

step 2 Apply the values extracted from the word EYE in the (nPr) permutations equation
nPr = 3!/(2! 1! )

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

= 6/2

= 3
nPr of word EYE = 3

Hence,
The letters of the word EYE can be arranged in 3 distinct ways.

Apart from the word EYE, 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.

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