Enter Word Find unique arrangements for
CALCULUS
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 = 8
Determine Duplicate Letters: C A L C U L U S :
C occurs 2 times, so N1 = 2
C A L C U L U S :
L occurs 2 times, so N2 = 2
C A L C U L U S :
U occurs 2 times, so N3 = 2
Plug in Values for Arrangements: Arrangements = M! N1 !N2 !N3 !
Calculate 8! 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
8! = 40320
Calculate 2! 2! = 2 x 1
2! = 2
Calculate 2! 2! = 2 x 1
2! = 2
Calculate 2! 2! = 2 x 1
2! = 2
Plug in values and simply Arrangements = 40,320 (2)(2)(2)
Final Answer Arrangements = 5,040
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 !
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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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