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C Exercises: Print a binomial coefficient table

C Basic Declarations and Expressions: Exercise-69 with Solution

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;
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);
printf("----------------------------------------------------------");
}

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:

C Programming Flowchart: Print a binomial coefficient table

C programming Code Editor:

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C Programming: Tips of the Day

Static variable inside of a function in C

The scope of variable is where the variable name can be seen. Here, x is visible only inside function foo().

The lifetime of a variable is the period over which it exists. If x were defined without the keyword static, the lifetime would be from the entry into foo() to the return from foo(); so it would be re-initialized to 5 on every call.

The keyword static acts to extend the lifetime of a variable to the lifetime of the programme; e.g. initialization occurs once and once only and then the variable retains its value - whatever it has come to be - over all future calls to foo().

Ref : https://bit.ly/3fOq7XP