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#include <stdio.h> float factorial(float num) { float result = 1; for(int i = 1;

ID: 3727209 • Letter: #

Question

#include <stdio.h>

float factorial(float num)
{
    float result = 1;
  
    for(int i = 1; i < num; i ++)
        result *= i;
      
    return result;  
}


void bells(int n)
{
  
    float sum = 1;
  
     printf("Bell Number [0] = 1 ");
    for(int i = 1; i <= n; i++)
    {
        printf("Bell Number [%d] = %.0lf ", i, sum);
        sum += factorial(n) / (factorial(i)*factorial(n - i));
    }
  
}


int main()
{
    int sum = 0;
    int restart = 1;
  
    //while is used to restart program on users request
    while(restart == 1)
    {
        int userNum;
        printf("Enter a number :");
        scanf("%d",&userNum);

        bells(userNum);
      
        //Restarting program on users request
        printf(" Restart program? (1 = yes : 0 = no) ");
        scanf("%d", &restart);
      
    }//end of restart while
  
}//end of main

n! k!(n – k)!

Explanation / Answer

#include <stdio.h>

float factorial(float num)

{

    float result = 1;

   

    // you made a mistake here

    // you didn't include num while multiplying

    //for(int i = 1; i < num; i++ )

    for(int i = 1; i <= num; i++ )

        result *= (float)i;

      

    return result;   

}

void bells(int n)

{

   

    float sum = 1;

    int i;

   

     printf("Bell Number [0] = 1 ");

    for(i = 1; i <= n; i++)

    {

        // we should add the value of nCk before we print sum

        sum += factorial((float)n) / (factorial((float)i)*factorial((float)n - (float)i));

        printf("Bell Number [%d] = %f ", i, sum);

    }

   

}

int main()

{

    int sum = 0;

    int restart = 1;

   

    //while is used to restart program on users request

    while(restart == 1)

    {

        int userNum;

        printf("Enter a number :");

        scanf("%d",&userNum);

        bells(userNum);

       

        //Restarting program on users request

        printf(" Restart program? (1 = yes : 0 = no) ");

        scanf("%d", &restart);

       

    }//end of restart while

   

}//end of main