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: M I S S I S S I P P I :
I occurs 4 times, so N1 = 4
M I S S I S S I P P I :
S occurs 4 times, so N2 = 4
M I S S I S S I P P I :
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
Calculate 2! 2! = 2 x 1
2! = 2
Plug in values and simply Arrangements = 39,916,800 (24)(24)(2)
Arrangements = 39,916,800 1,152
Final Answer Arrangements = 34,650
You have 2 free calculationss remaining
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!/N
1 !N
2 !...N
M !
For more math formulas, check out our
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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.n Pr = n!/(n - r)!
Example calculations for the Letter Arrangements in a Word Calculator Letter Arrangements in a Word Calculator Video VIDEO
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