Main.java

package com.company;

public class Main {

    public static void main(String[] args) {
        System.out.println(" 6 fakultät : " + (long) (double) fakultaet(49L) / fakultaet(43L));
        System.out.println(" 6 über 49 : " + binomialKoeffizient(49L, 6L));
        System.out.println(" 6 über 49 Lottolösung : " + modLottoProblemLoesung(49, 6));
    }

    public static long fakultaet(long n) {
        return n > 1 ? n * fakultaet(--n) : n == 1 ? 1 : 0;
    }

    public static long binomialKoeffizient(long n, long k) {

        return (((0 <= n) && n <= k) || (n < 0) || (k < 0)) ? 0 : (fakultaet(n) / (fakultaet(n - k) * fakultaet(k)));
    }

    public static long modLottoProblemLoesung(long n, long k) {
        return binomialKoeffizient(n, k) * fakultaet(k);
    }

}