Enter derangement
Calculate !30
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:
!30 = [30!/2.718281828459 + 0.5]
Calculate 30!
30! = 30 x 29 x 28 x 27 x 26 x 25 x 24 x 23 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
30! = 2.6525285981219E+32
!30 = [2.6525285981219E+32/2.718281828459 + 0.5]
!30 = [9.7581073836836E+31 + 0.5]
!30 = [9.7581073836836E+31]
[9.7581073836836E+31] = 9.7581073836836E+31
!30 = 97,581,073,836,835,772,079,377,081,171,968
You have 2 free calculationss remaining
What is the Answer?
!30 = 97,581,073,836,835,772,079,377,081,171,968
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 2.718281828459
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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
Example calculations for the Derangements - Subfactorials Calculator
Derangements - Subfactorials Calculator Video
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