Enter Word


  

Find unique arrangements for

ABCDEFG

Calculate Number of Arrangements

Arrangements  =  M!
  N1!N2!...NM!

where M = letters in the word

and each Ni = dup letter occurrences

Calculate M

M = letters in the word

M = 7

Plug in Values for Arrangements:

Since no Duplicate Letters exist, our formula simply becomes 7!

Arrangements = 7 x 6 x 5 x 4 x 3 x 2 x 1

Final Answer

Arrangements = 5,040


You have 2 free calculationss remaining




What is the Answer?
Arrangements = 5,040
How does the Letter Arrangements in a Word Calculator work?
Free Letter Arrangements in a Word Calculator - Given a word, this determines the number of unique arrangements of letters in the word.
This calculator has 1 input.

What 1 formula is used for the Letter Arrangements in a Word Calculator?

Arrangements = M!/N1!N2!...NM!

For more math formulas, check out our Formula Dossier

What 3 concepts are covered in the Letter Arrangements in a Word Calculator?

factorial
The product of an integer and all the integers below it
letter arrangements in a word
permutation
a way in which a set or number of things can be ordered or arranged.
nPr = n!/(n - r)!
Example calculations for the Letter Arrangements in a Word Calculator

Letter Arrangements in a Word Calculator Video


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