Derangements - Subfactorials Calculator
Publish date: 2024-07-21
Derangements - Subfactorials Calculator 
Enter derangement
Calculate !
Derangements are a permutation where
No original set elements
appear in their same position
Derangements formula for !n:
!n = [n!/e + 0.5]
where [] is the floor function
and e = Eulers constant of 2.718281828459
Plugging in our numbers, we get:
! = [!/2.718281828459 + 0.5]
Calculate !
! =
! = 1
! = [1/2.718281828459 + 0.5]
! = [0.36787944117144 + 0.5]
! = [0.86787944117144]
! = 0
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What is the Answer?
How does the Derangements - Subfactorials Calculator work?
Free Derangements - Subfactorials Calculator - Calculates the number of derangements/subfactorial !n.
This calculator has 1 input.
What 1 formula is used for the Derangements - Subfactorials Calculator?
!n = [n!/e + 0.5] where [] is the floor function and e = Eulers constant of 2.718281828459For more math formulas, check out our Formula Dossier
What 7 concepts are covered in the Derangements - Subfactorials Calculator?
derangementpermutation with no fixed points!nderangements - subfactorialseulerFamous mathematician who developed Euler's constantfactorialThe product of an integer and all the integers below itfloorthe greatest integer that is less than or equal to xpermutationa way in which a set or number of things can be ordered or arranged.
nPr = n!/(n - r)!subfactorialcalculate the number of permutations of a set of n objects in which none of the elements occur in their natural place
!n
Example calculations for the Derangements - Subfactorials Calculator
Derangements - Subfactorials Calculator Video
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