!50

Publish date: 2024-05-15
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Enter derangement

Calculate !50

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:

!50 = [50!/2.718281828459 + 0.5]

Calculate 50!

50! = 50 x 49 x 48 x 47 x 46 x 45 x 44 x 43 x 42 x 41 x 40 x 39 x 38 x 37 x 36 x 35 x 34 x 33 x 32 x 31 x 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

50! = 3.0414093201713E+64

!50 = [3.0414093201713E+64/2.718281828459 + 0.5]

!50 = [1.1188719610782E+64 + 0.5]

!50 = [1.1188719610782E+64]

[1.1188719610782E+64] = 1.1188719610782E+64

!50 = 11,188,719,610,782,479,690,664,060,583,690,314,324,787,903,255,598,816,872,754,053,120

You have 1 free calculations remaining


What is the Answer?

!50 = 11,188,719,610,782,479,690,664,060,583,690,314,324,787,903,255,598,816,872,754,053,120

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

For 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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