Java: Calculating binomial coefficient

Question

I have the following programm calculating the binomial coefficient of two integers. But I want to change the programm, that it calculates and saves only the necessary coeffi

Answer 1

What about this Code from this site

 private static long binomial(int n, int k)
    {
        if (k>n-k)
            k=n-k;

        long b=1;
        for (int i=1, m=n; i<=k; i++, m--)
            b=b*m/i;
        return b;
    }