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

  • Context: High School 
  • Thread starter Thread starter Andy
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Discussion Overview

The discussion revolves around the challenge of using four zeros and mathematical operations or symbols to arrive at the number 24. Participants explore the concept of factorials, particularly the factorial of zero, and its implications in this context.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant proposes that (0! + 0! + 0! + 0!)! equals 24, seeking clarification on this assertion.
  • Another participant explains that 4! equals 24 and attempts to clarify the value of 0!, stating that 0! is defined as 1.
  • A different participant expresses confusion regarding the factorial of zero and its calculation.
  • One participant provides a definition of factorial, illustrating how it leads to the conclusion that 0! equals 1.
  • Another participant mentions the possibility of defining factorial for complex numbers, referencing an external source.
  • Several participants express gratitude for the clarifications provided in the discussion.

Areas of Agreement / Disagreement

Participants generally agree on the definition of 0! as 1, but there remains some confusion regarding its application in the original problem. The discussion does not reach a consensus on the method to achieve 24 using four zeros.

Contextual Notes

Some participants express uncertainty about the factorial operation, particularly in relation to negative or non-integer numbers, and the discussion touches on the potential for extending factorial definitions.

Andy
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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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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? :)
 
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...)
 
thanks guybrush, that cleared things up.
 
Thank you.
 

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