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Q: Why one factorial and zero factorial is same?

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Zero factorial = 1

0!=1! 1=1 The factorial of 0 is 1, not 0

Zero factorial is one because n! = n-1! X n. For example: 4! = (4-1) X 4. If zero factorial was zero, that would mean 1! =(1-1) X 1 = 0 X 1=0. Then if 1!=0, then even 999! would equal zero. Therefore, zero factorial equals 1.

Zero.

Zero factorial, written as 0!, equals 1. This is a simple math equation.

yes, 0!=1 default.

The factorial of a number is the product of all the whole numbers, except zero, that are less than or equal to that number.

Zero factorial is equal to one. 0! = 1

What is the rationale for defining 0 factorial to be 1?AnswerThe defining 0 factorial to be 1 is not a rationale."Why is zero factorial equal to one?" is a problem that one has to prove.When 0 factorial to be 1 to be proved,the defining 0 factorial to be 1 is unvaluable.One has only one general primitive definition of a factorial number:n! = n x (n-1) x (n-2) x (n-3) x ... x 2 x 1.After that zero factorial denoted 0! is a problem that one has to acceptby convention 0!=1 as a part of definition.One has to prove zero factorial to be one.Only from the definition of a factorial number and by dividing both sidesby n one has: n!/n (n-1)! or (n-1)! = n!/nwhen n=2 one has (2-1)! = 2!/2 or 1! = 2x1/2 or 1! = 1when n=1 one has (1-1)! = 1!/1 or 0! = 1/1 or 0! = 1. =This is a proof that zero factorial is equal to one to be known.But a new proof is:A Schema Proof Without WordsThat Zero Factorial Is Equal To One.... ... ...Now the expression 0! = 1 is already a proof, not need a definitionnor a convention. So the defining 0 factorial to be 1 is unvaluable.The proof "without words" abovethat zero factorial is equal to one is a New that:*One has not to accept by convention 0!=1 anymore.*Zero factorial is not an empty product.*This Schema leads to a Law of Factorial.Note that the above schema is true but should not be used in a formal proof for 0!=1.The problem arises when you simplify the pattern formed by this schema into a MacLauren Series, which is the mathematical basis for it in the first place. Upon doing so you arrive with, . This representation illustrates that upon solving it you use 0!.In proofs you cannot define something by using that which you are defining in the definition. (ie) 0! can't be used when solving a problem within a proof of 0!.For clarification, the above series will represent the drawn out solution for the factorial of a number, i. (ie) 1×76 -6×66 +15×56 -20×46 +15×36 -6×26 +1×16 , where i=6.

The factorial function is the product of a single scalar value and all of its smaller values down to one. As such, it does not make sense to ask how to find the factorial of an array. Certainly, one could determine the factorial of each element of the array; simply setup a loop that iterates through the array and then performs the factorial function.

#include int main() { int fact,Factorial; printf("Please Enter Factorial Number\n"); scanf("%d",&fact); Factorial=func_fact(fact); printf("factorial is %d\n",Factorial); } int func_fact(int number) { int i; int factorial=1; for(i=number;i>=1;i--) { factorial=factorial*i; } return factorial; }

The value of 9 factorial plus 6 factorial is 363,600

the zero porperty is the same factor equaling the property of negative one

#!/usr/bin/perl print factorial($ARGV[11]); sub factorial { my($num) = @_; if($num == 1) { return 1; # stop at 1, factorial doesn't multiply times zero } else { return $num * factorial($num - 1); # call factorial function recursively } }

A zero angle is the same as a ray. A ray starts at one point and will go in a certain direction forever.

It is 4060.

No. Simple permutations are composed of 2 factorials.

factorial of -1

1.8333

Factorial in C++ is the same as factorial in mathematics. For a given integer, N, the factorial, denoted N!, is the product of all integers in the closed range 1 to N, where 0! is 1. The problem with factorials is that the largest factorial you can store in a 64-bit integer is 20!. To cater for larger factorials you need a numeric library capable of handling larger integers, such as the GMP library.

26 factorial is 403,291,461,126,605,635,584,000,000

1 factorial = 1

40 Factorial = 815,915,283,247,897,734,345,611,269,596,115,894,272,000,000,000

Factorial 6 = 720

34 factorial = 295,232,799,039,604,140,847,618,609,643,520,000,000.