## Enter derangement

Calculate !6

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:

!6 = [6!/2.718281828459 + 0.5]

##### Calculate 6!

6! = 6 x 5 x 4 x 3 x 2 x 1

6! = 720

!6 = [720/2.718281828459 + 0.5]

!6 = [264.87319764344 + 0.5]

!6 = [265.37319764344]

[265.37319764344] = 265

!6 = **265**

##### 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.

_{n}P_{r} = 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

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