Idea
binomial coefficient formula
input --- n, k || ( 1 <= n <= 10, 0 <= k <= n )
n! / (k! (n - k)!)
https://en.wikipedia.org/wiki/
Code
#define _CRT_SECURE_NO_WARNINGS
#include <stdio.h>
// binomial coefficient formula
// input --- n, k || ( 1 <= n <= 10, 0 <= k <= n )
// n! / (k! (n - k)!)
int fact(int n) {
int result = 1;
for (int i = 1; i <= n; i++) {
result *= i;
}
return result;
}
int main(void) {
int n, k;
scanf("%d %d", &n, &k);
int N = fact(n);
int K = fact(k);
int nk = fact(n - k);
printf("%d", N / (K * nk));
return 0;
}
😎