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12 April, 07:35

In mathematics, the factorial of a positive integer n, denoted as n!, is the product of all positive integers less than or equal to n.

The factorial of n can be computed using the following rules.

Case I: If n is 1, then the factorial of n is 1.

Case II: If n is greater than 1, then the factorial of n is equal to n times the factorial of (n - 1).

The factorial method returns the factorial of n, as determined by case I and case II. Write the factorial method below. You are encouraged to implement this method recursively.

/* * Precondition: n is between 1 and 12, inclusive.

* Returns the factorial of n, as described in part (a).

*/

public static int factorial (int n)

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Answers (2)
  1. 12 April, 08:34
    0
    public static int factorial (int n) {

    if (n > = 1 && n <=12) {

    if (n==1)

    return 1;

    else

    return n * factorial (n-1);

    }

    else

    return - 1;

    }

    Explanation:

    Create a method called factorial that takes one parameter, n

    Check if n is n is between 1 and 12. If it is between 1 and 12:

    Check if it is 1. If it is 1, return 1. Otherwise, return n * function itself with parameter n-1.

    If n is not between 1 and 12, return - 1, indicating that the number is not in the required range.

    For example:

    n = 3 Is n==1, NO factorial (3) = n*factorial (2)

    n = 2 Is n==1, NO factorial (2) = n*factorial (1)

    n = 1 Is n==1, YES factorial (1) = 1.

    Then factorial (2) = 2*1 = 2, factorial (3) = 3*2 = 6
  2. 12 April, 11:07
    0
    public static int factorial (int n) {

    if (n<=1) {

    return 1:

    }else if (n>1 && n<=12) {

    return n * factorial (n - 1);

    }

    }

    int main () {

    printf ("Enter a value : ");

    scanf ("%d", &n);

    printf ("Factorial of %d is %d/n", n, factorial (n));

    return 0;

    }
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