Printing a Pascal's Triangle : C program

Probably this is one of the toughest pattern to print using C program for beginners , but after going through this post this won't be tough any more.

Lets focus on definition , what pascal triangle comprises of...

In mathematics, Pascal's triangle is a triangular array of the binomial coefficients.

like , we can see in image :

Now , see .

Isn't it like this ?

Now , probably you are getting the point i am talking about.

We can simply print the pattern by calling a function of *combination.

The two for loops are required , for row and column and using the following logic we can print the pascal triangle up to required number of rows .

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C program : Printing a Pascal's Triangle

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#include < stdio.h > 
int comb();/*function for finding combination*/
int main()
   }
}


int fact();/*functions for finding factorial*/

{
   int i,j,n;
   int ans;
   printf("Enter number of rows of pascal's triangle :\n");
   scanf("%d",&n);
   for(i=0;i < =n;i++)/*main for loop*/
   {
       for(j=n-i;j!=0;j--)/*nested for loop for managing space*/
       {
           printf(" ");
       }
       for(j=0;j < =i;j++)/*nested for loop for iCj=nCr */
       {
           ans=comb(i,j);/*calling a function for combination*/
           printf("%d ",ans);/*printing the required number*/
       }
       printf("\n");/*printing new line after dealing with one row*/


int comb(int x,int y)
{
    int a,b,c,d;
    a=fact(x);/*calling a function for factorial*/
    b=fact(y);
    c=fact(x-y);
    d=a/(b*c);
    return(d);
}
int fact(int x)
{
    int i,p=1;
    for(i=1;i < =x;i++)
    {
        p=p*i;
    }
    return(p);
}

*For explanation of functions of combination and factorial refer to the link below :

Permutation and Combination using C functions !

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