Tri-Color Ball problem

Tri-Color Ball problem

If you put 12 balls in one pocket, 3 red, 3 yellow, 6 green, choose 8 from any of them, how many different combinations do you ask?

1: Analysis of the problem

The red ball can have 4 possibilities: 0, 1, 2, 3

The yellow ball can have 4 possibilities: 0, 1, 2, 3

Green balls can have 7 possibilities: 0, 1, 2, 3, 4, 5, 6

We just need to be poor and give every possible situation.

 PackageTri-color ball;ImportJava.util.Scanner; Public classMain { Public Static voidMain (string[] args) {intRed,yellow,green;//stores the number of red, yellow, and green balls        intN; System.out.println ("Three-color ball problem solving!" \ n "); System.out.println ("Please enter the number of red balls as:"); Scanner input=NewScanner (system.in); Red=Input.nextint (); System.out.println ("Please enter the number of yellow balls:"); Yellow=Input.nextint (); System.out.println ("Please enter the number of green balls:"); Green=Input.nextint (); System.out.println ("Please enter the number of balls to be removed first:"); N=Input.nextint (); //solvingThreeball (red,yellow,green,n); }    Private Static voidThreeball (intRedintYellowintGreenintN) {inti,j,k; System.out.println ("There are a total of the following possibilities!" \ n "); System.out.printf ("\ t red ball \ t yellow ball \ t Green Ball");  for(i=0;i<=red;i++)        {             for(j=0;j<=yellow;j++)            {                 for(k=0;k<=green;k++)                {                    if(I+j+k = =N) {System.out.printf ("\t%d\t%d\t%d\n", i,j,k); }                }            }        }            }}

Results:

Three-color ball problem solving!

Please enter the number of red balls as:
3
Please enter the number of yellow balls:
3
Please enter the number of green balls:
6
Please enter the number of balls to be removed first:
8
There are a total of the following possibilities!

Red ball yellow ball green ball 026
035
116
125
134
206
215
224
233
305
314
323
332

Tri-Color Ball problem