/**
   @version 1.20 2004-02-10
   @author Cay Horstmann
*/

public class LotteryArray
{
   public static void main(String[] args)
   {
      final int NMAX = 10;

      // allocate triangular array
      int[][] odds = new int[NMAX + 1][];
      for (int n = 0; n <= NMAX; n++)
         odds[n] = new int[n + 1];

      // fill triangular array
      for (int n = 0; n < odds.length; n++)
         for (int k = 0; k < odds[n].length; k++)
         {
            /*
               compute binomial coefficient
               n * (n - 1) * (n - 2) * . . . * (n - k + 1)
               -------------------------------------------
               1 * 2 * 3 * . . . * k
            */
            int lotteryOdds = 1;
            for (int i = 1; i <= k; i++)
               lotteryOdds = lotteryOdds * (n - i + 1) / i;

            odds[n][k] = lotteryOdds;
         }

      // print triangular array
      for (int[] row : odds)
      {
         for (int odd : row)
            System.out.printf("%4d", odd);
         System.out.println();
      }
   }
}


