C Exercises: Print a binomial coefficient table

Last update on March 18 2025 13:30:16 (UTC/GMT +8 hours)

Generate a binomial coefficient table

Write a C program to print a binomial coefficient table.

Pictorial Presentation:

C Programming: Print a binomial coefficient table.

Sample Solution:

C Code:

#include<stdio.h>
#define MAX 10

int main() {
    int n, a, bi_nom;
    
    // Print header
    printf("Mx   ");
    for (n = 0; n <= 10; ++n)
        printf("%d   ", n);
    printf("\n----------------------------------------------------------\n");
    
    n = 0;
    
    do {
        a = 0, bi_nom = 1;    
        printf("%2d", n);
        
        while (a <= n) {
            if (n == 0 || a == 0)
                printf("%4d", bi_nom);
            else {
                bi_nom = bi_nom * (n - a + 1) / a;
                printf("%4d", bi_nom);
            }
            a = a + 1;
        }
        
        printf("\n");
        n = n + 1;
    } while (n <= MAX);
    
    // Print footer
    printf("----------------------------------------------------------");
    
    return 0;
}

Sample Output:

Mx   0   1   2   3   4   5   6   7   8   9   10   
----------------------------------------------------------
 0   1
 1   1   1
 2   1   2   1
 3   1   3   3   1
 4   1   4   6   4   1
 5   1   5  10  10   5   1
 6   1   6  15  20  15   6   1
 7   1   7  21  35  35  21   7   1
 8   1   8  28  56  70  56  28   8   1
 9   1   9  36  84 126 126  84  36   9   1
10   1  10  45 120 210 252 210 120  45  10   1
----------------------------------------------------------

Flowchart:

For more Practice: Solve these Related Problems:

Write a C program to generate Pascal’s triangle for a given number of rows and display it in a formatted table.
Write a C program to compute binomial coefficients using recursion with memoization and display the table.
Write a C program to generate a binomial coefficient table and highlight even coefficients.
Write a C program to produce a binomial coefficient table using a switch-case construct for row handling.

C programming Code Editor:

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