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/* to calculate binomial coefficient of nCr.
nCr = n!/ r! (n-r)!
*/
import java.util.*;
public class Functions6{
public static long factorial(long x){
long f = 1;
for (long i=1; i<=x; i++){
f= f*i;
}
return f;
}
public static void main(String args[]){
Scanner sc = new Scanner(System.in);
System.out.print(" value of N in nCr: ");
long n = sc.nextLong();
System.out.print(" value of R in nCr: ");
long r = sc.nextLong();
if (n>=r){
long diff = n-r;
long nFact = factorial(n);
long rFact = factorial(r);
long diffFact = factorial(diff);
double nCr = nFact/((rFact)*(diffFact));
System.out.println("The value of the nCr is: " + (nCr));
}
else{
System.out.println("this binomial coeff doesn't exists. ");
}
}
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