How can four zeros and mathematical operations/symbols equal 24?

  • Thread starter Andy
  • Start date
In summary, using only four zeros and the factorial operation, (0! + 0! + 0! + 0!)! can be simplified to 24. The factorial of 4 is equal to 24, and by definition, the factorial of 0 is equal to 1. This can also be thought of as a recursive function, where n! = (n-1)! * n. It is not possible to calculate factorial for negative or non-integer numbers, though there is a way to define it for complex numbers.
  • #1
Andy
73
12
Using “Only Four” ZEROS (0) and any Mathematical Operations/Symbols, to obtain the number 24.

So can someone explain to me how, (0! + 0! + 0! + 0!)! = 24

Im sure this is simple to most of you but i am very slow when it comes to maths.
 
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  • #3
I still don't get it. Can someone explain?

4! = 4 x 3 x 2 x 1 = 24

0! = 0 x -1 x -2 x -3 ~ = 1

huh? :)
 
  • #4
no 0! = 1 (by definition)
you can think of it like this:
n! = (n-1)!*n
so:
3! = 2!*3
2! = 1!*2
1! = 0!*1 => 0! = 1

also there is no factorial for negative or not-integer numbers (at least I think...)
 
  • #5
  • #6
thanks guybrush, that cleared things up.
 
  • #7
Thank you.
 

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