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Factorial(0), or 0! = 1.

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โˆ™ 2009-12-23 17:46:59
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Q: What is factorial of 0?
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Related questions

What is the value of 0 factorial?

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

Zero factorial equal to one factorial then if we cancel the factorials on both side then the answer becomes zero equals one. do u accepts this?

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

Why factorial of 0 equals 1?

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.

Can you make120 with 5 zeros?

(0!+0!+0!+0!+0!)!=120 !=factorial

Why we write 1 of the factorial of 0?

simply, any number divided by 0 is 0.

Factorial notation in mathematics?

Definition of FactorialLet n be a positive integer. n factorial, written n!, is defined by n! = 1 * 2 * 3 * ... (n - 1) * nThe special case when n = 0, 0 factorial is given by: 0! = 1

Is factorial of zero is 1?

yes, 0!=1 default.

What is the factorial of 0?

A recursive formula for the factorial is n! = n(n - 1)!. Rearranging gives (n - 1)! = n!/n, Substituting 'n - 1' as 0 -- i.e. n = 1 -- then 0! = 1!/1, which is 1/1 = 1.

Why 0 factorial is assumed to be 1?

That is related with the fact that 1 is the identity element (or neutral element) of multiplication - and factorials are defined as multiplications. Defining 0 factorial thus simplifies several formulae.

How Can you make 120 with 5 zeros?

yes. (0!+0!+0!+0!+0!)! where ! refers the factorial of the number

Can you make 120 with 5 zeros?

yes. (0!+0!+0!+0!+0!)! where ! refers the factorial of the number

What is the factorial of any number?

a factorial number is a number multiplied by all the positive integers i.e. 4!=1x2x3x4=24 pi!=0.14x1.14x2.14x3.14 0!=1

What is the logic and theory for pascal triangle program in C?

long factorial(int); int main() { int i, n, c; printf("Enter the number of rows you wish to see in pascal triangle\n"); scanf("%d",&n); for ( i = 0 ; i < n ; i++ ) { for ( c = 0 ; c

How do you do a factorial?

You first look at the number that is before the !(factorial sign). Then you times all positive integers (which means it doesn't include 0), including the number itself. The answer is the factorial of the original number beside the ! sign. EX.:4!=1x2x3x4=24

What is factorial in c plus plus?

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.

Write a program that will input the value of N compute and display the factorial of N?

/* gcc -ansi -Wall -Wextra -pedantic -s -static 0.c -o 0 */ #include &lt;stdio.h&gt; int main ( ) { int n , factorial = 1 ; printf ( "enter the value of n\n") ; scanf ( "%i" , &amp; n ) ; while ( n != 0 ) { factorial *= n ; n -- ; } printf ( "The factorial of n is\n%i\n" , factorial ) ; return 0; }

Algorithm of factorial of a number?

Factorial (n) = n * Factorial (n-1) for all positive values n given Factorial (1) = Factorial (0) = 1. Pseudo-code: Function: factorial, f Argument: positive number, n IF n&lt;=1 THEN RETURN 1 ELSE RETURN n * f(n-1) END IF

Factorial in c program using for loop?

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

What is the value of 9 factorial plus 6 factorial?

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

What is the rationale for defining 0 factorial to be 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&times;76 -6&times;66 +15&times;56 -20&times;46 +15&times;36 -6&times;26 +1&times;16 , where i=6.

Write this expression as a factorial 87654321?

That's not the factorial of any number. For a start, the factorial of any number greater than or equal to 2 is even, because of the factor 2. The factorial of any number greater or equal to five ends with 0. Another answer: I suspect the questioner meant to ask how to write 8*7*6*5*4*3*2*1 as a factorial. If so, then the answer is "8!"

I know what exclamations in algebra mean but how would i answer 0 with an exclamation after it?

Zero factorial is equal to one. 0! = 1

Use 5 0s and any mathematical operators to get 120?

The trick is that zero factorial (0!) equals 1[1], so (0!+0!+0!+0!+0!)! = 5! = 120

A Write a program that reads a nonnegative integer and computes and prints its factorial?

int main() { // Variable declarations. unsigned long int factorial = 1 , number = 1; // reads a number for finding its factorial. cout > number; while( number > 1 ) { factorial *= number * ( number - 1 ); number -= 2; } cout

What is 30 factorial divided by 27 factorial times 3 factorial?

It is 4060.