Calculate !8
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:
!8 = [8!/2.718281828459 + 0.5]
Calculate 8!
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
8! = 40320
!8 = [40320/2.718281828459 + 0.5]
!8 = [14832.899068033 + 0.5]
!8 = [14833.399068033]
[14833.399068033] = 14833
!8 = 14,833
What is the Answer?
!8 = 14,833
How does the Derangements - Subfactorials Calculator work?
Free Derangements - Subfactorials Calculator - Calculates the number of derangements/subfactorial !n.
This calculator has 1 input.
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 2.718281828459
What 7 concepts are covered in the Derangements - Subfactorials Calculator?
- derangement
- permutation with no fixed points
!n - derangements - subfactorials
- euler
- Famous mathematician who developed Euler's constant
- factorial
- The product of an integer and all the integers below it
- floor
- the greatest integer that is less than or equal to x
- permutation
- a way in which a set or number of things can be ordered or arranged.
nPr = n!/(n - r)! - subfactorial
- calculate the number of permutations of a set of n objects in which none of the elements occur in their natural place
!n
