Computer Programming C Laboratory: Basic C Programs

C Program to print Table of Binomial Coefficients

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Solving simple scientific and statistical problems - Basic C Program

Solving simple scientific and statistical problems

C Program to print Table of Binomial Coefficients.

The Binomial coefficients are used to study the binomial distributions.

It is given by B(m, x) = , m >= x

A table of binomial coefficients is required to determine the binomial coefficient for any set of 'm' and 'x'. The binomial coefficient can be recursively calculated as follows:

B(m, o)=1, B(m, x)=B(m,x‒1) [(m‒x+1) / x ] , ,x=1, 2, 3, ..., m, B(0,0)=1

That is, the binomial coefficient is one, when either 'x' is zero or 'm' is zero.

/*Program to print table of binomial coefficients */

#include <stdio.h>

main()

{

int m,x, bin;

printf("mx");

for(m=0;m<=5;m++)

printf("%4d",m);

printf("\n‒‒‒‒‒‒‒‒‒‒‒‒\n");

m=0;

{ printf("%2d", m);

x=0;

bin=1;

while(x<=m)

{

if(m==0||x==0)

printf("%4d", bin);

else

{

bin=bin*(m‒x+1)/x;

printf("%4d", bin);

} /* if else */

x=x+1;

}/* while */

printf("\n");

m=m+1;

} /* do */

while(m<=5);

printf("\n‒‒‒‒‒‒‒‒‒‒‒‒\n");

} /* main

OUTPUT

mx 0 1 2 3 4 5

‒ ‒ ‒ ‒ ‒ ‒ ‒ ‒ ‒

0 1

1 1

2 1 1

3 1 2 1

4 1 3 3 1

5 1 4 6 4 1

1 1 5 10 10 5 1

‒ ‒ ‒ ‒ ‒ ‒ ‒ ‒ ‒

Computer Programming C Laboratory: Basic C Programs : Tag: C Programming : - C Program to print Table of Binomial Coefficients

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