My Math Forum Computing Factorial of a Number

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 August 24th, 2011, 02:51 AM #1 Banned Camp   Joined: Aug 2011 Posts: 534 Thanks: 2 Computing Factorial of a Number Referring to the link for Factorial http://en.wikipedia.org/wiki/Factorial The formula for computing Factorial of a Non Negative Number is n!=n*(n-1)! if n > 0 0! = 1 5!= 5*(5-1)! = 120 In the first case by the convention that the product of no numbers at all is 1 as defined by Wikipedia. Here 0!=1, because the product of no numbers at all is 1. Why 0!=1 ? and not Undefined similar to any number divided by zero is Undefined or Infinite OR 0!=0, because the definition is product of no numbers at all is 1. i.e why 0! = 0 or 0! = Undefined or Infinite Instead of 0! = 1 Thanks & Regards, Prashant S Akerkar
August 24th, 2011, 03:20 AM   #2
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Re: Computing Factorial of a Number

Quote:
 Originally Posted by prashantakerkar Referring to the link for Factorial http://en.wikipedia.org/wiki/Factorial
Try reading something other than Wikipedia. Better still, try reading the entire Wikipedia article. In that article there were at least four different reasons given as to why it is generally agreed upon by mathematicians that by convention 0! = 1.

When you are done with that, look up Gamma function.

August 24th, 2011, 09:19 AM   #3
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Re: Computing Factorial of a Number

Quote:
 The formula for computing Factorial of a Non Negative Number is n!=n*(n-1)! if n > 0
Let n = 1:

1! = 1*(1-1)!

1 = 0!

 August 24th, 2011, 06:10 PM #4 Banned Camp   Joined: Aug 2011 Posts: 534 Thanks: 2 Re: Computing Factorial of a Number Thank you. Also check these links below http://www.allexperts.com/user.cgi?m=6& ... ID=4914780 http://www.allexperts.com/user.cgi?m=6& ... ID=4881366 http://www.allexperts.com/user.cgi?m=6& ... ID=5019934 Thanks & Regards, Prashant S Akerkar
 August 24th, 2011, 06:31 PM #5 Banned Camp   Joined: Aug 2011 Posts: 534 Thanks: 2 Re: Computing Factorial of a Number Thank you. Can we also say similar to even number, odd number, Fibonacci, Reflective number (looking numbers in mirror - offering symmetry), Reflective character (looking characters - upper and lower case - offering symmetry viz A...Z and a ...z) a factorial number series ? i.e. 1,2,6,24,120,720 .... Thanks & Regards, Prashant S Akerkar
 August 24th, 2011, 06:37 PM #6 Banned Camp   Joined: Aug 2011 Posts: 534 Thanks: 2 Re: Computing Factorial of a Number Thank you. Did I miss the 0! in the Factorial series? So it will be 1,1,2,6,24,120,720 ... Thanks & Regards, Prashant S Akerkar
August 25th, 2011, 12:04 AM   #7
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Quote:
 Originally Posted by prashantakerkar Can we also say similar to even number, ...
I'm not sure what you are asking. It's easy enough to compute even numbers. What other similarity do you have in mind?

 August 25th, 2011, 03:52 AM #8 Banned Camp   Joined: Aug 2011 Posts: 534 Thanks: 2 Re: Computing Factorial of a Number Thank you. I mean similar to even number, odd number, square, Fibonacci series, prime number we can have the factorial number series even number : 2, 4, 6, 8, 10 , 12 ..... odd number : 1, 3, 5, 7, 9, 11, 13 ..... square : 1, 4, 9, 16, 25, 36, 49 ..... Fibonacci : 0, 1, 1, 2, 3, 5, 8, 13, 21, 34 .... prime : 2,3,5,7,11,13,17,19 ..... factorial number : 1,1,2,6,24,120, 720 ..... Thanks & Regards, Prashant S Akerkar
 August 25th, 2011, 06:33 PM #9 Senior Member   Joined: Jun 2011 Posts: 298 Thanks: 0 Re: Computing Factorial of a Number There is not similarity between factorial function and Fibonacci number, but they have one thing in common; namely, they both are recursive.
November 15th, 2011, 10:55 PM   #10
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Re: Computing Factorial of a Number

Thank you.

Attaching Image ....

Thanks & Regards,
Prashant S Akerkar
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