## Enter Word

Find unique arrangements for

MISSISSIPPI

##### 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 = 11

##### Determine Duplicate Letters:

MISSISSIPPI:

I occurs 4 times, so N1 = 4

MISSISSIPPI:

S occurs 4 times, so N2 = 4

MISSISSIPPI:

P occurs 2 times, so N3 = 2

##### Plug in Values for Arrangements:

 Arrangements  = M! N1!N2!N3!

 Arrangements  = 11! 4!4!2!

##### Calculate 11!

11! = 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

11! = 39916800

##### Calculate 4!

4! = 4 x 3 x 2 x 1

4! = 24

##### Calculate 4!

4! = 4 x 3 x 2 x 1

4! = 24

2! = 2 x 1

2! = 2

##### Plug in values and simply

 Arrangements  = 39,916,800 (24)(24)(2)

 Arrangements  = 39,916,800 1,152

Arrangements = 34,650

Arrangements = 34,650
##### 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)!