/*
1
1 1
1 2 1
1 3 3 1

n=3;
k=3;

   n*(n-1)*(n-2)
------------------
      1*2*3
*/
import java.util.Arrays;
class ProbabilityTable
{
	public static void main(String[] args) 
	{
		int max = 10;
		int[][] arr = new int[max][];
		for(int i=0;i<arr.length;i++){
			arr[i] = new int[i+1];
		}
		for(int i=0;i<arr.length;i++){
			for(int j=0;j<arr[i].length;j++){
				int num = 1;
				for(int m=1;m<=j;m++){
					num = num*(i-m+1)/m;
				}
				arr[i][j] = num;
			}
		}
		for(int i=0;i<arr.length;i++)
			System.out.println(Arrays.toString(arr[i]));

	}
}

  

統計概率的矩陣