Calculate the multifactorial 7!!

We have 2 exclamation symbols (!)

Start at 7

Iterate backwards in steps of 2

Stop when we hit 1 or below

Term 1

For term 1, we start with 7

Term 2

Subtract -1 x 2 = -2 to get n(n - -2)

(n - -2) → 7 - -2 = 5
Our factorial term is:
7(5)

Term 3

Subtract -1 x 2 = -2 to get n(n - -2)(n - -2)

(n - -2) → 7 - -2 = 3
Our factorial term is:
7(5)(3)

Term 4

Subtract -1 x 2 = -2 to get n(n - -2)(n - -2)(n - -2)

(n - -2) → 7 - -2 = 1
Our factorial term is:
7(5)(3)(1)

Build final multifactorial:

7!! = n(n - -2)(n - -2)(n - -2)...

7!! = 7(5)(3)(1)

Final Answer


7!! = 105


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What is the Answer?
7!! = 105
How does the Multifactorials Calculator work?
Free Multifactorials Calculator - Calculates the multifactorial n!(m)
This calculator has 1 input.
What 1 formula is used for the Multifactorials Calculator?
n!(m) = (n - m) * (n - m - m) * ... * 1
What 3 concepts are covered in the Multifactorials Calculator?
factorial
The product of an integer and all the integers below it
multifactorial
generalisation of a factorial in which each element to be multiplied differs from the next by an integer
permutation
a way in which a set or number of things can be ordered or arranged.
nPr = n!/(n - r)!
Example calculations for the Multifactorials Calculator
Multifactorials Calculator Video

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