Question 1196161
<pre>
a) 4*3*2 * 3! = 144 ways

b) 4*3*2 = 24 ways

c) 3*2*2*3 = 36 ways

d) BBW: 3*2*2*3 = 36   PLUS   BBR: 4*3*2*3 = 72,  so the total here 
is  36 + 72 =  108 ways

I will give you this table, you can complete the rest:

   Draw                                  Number of ways
   -----                                 --------------
   RWB (and the 5 other arrangments):      144 
   BBB                                       6
   WWW                                       0
   RRR                                      24
   RRB (and RBR, BRR)                      108
   RRW (RWR, WRR)                           72               
   RWW (WRW, RWW)                           24
   BBW (BWB, WBB)                           36
   RBB (BRB, BBR)                           72
   BWW (WBW, WWB)                           18

                          TOTAL            504                                        
 
Example:  RRW is computed as follows
         4 reds possible on first draw
       * 3 R on 2nd draw
       * 2 W on 3rd draw
       * 3  (b/c you can draw RRW or RWR or WRR and end up 2 R + 1 W)
      =======
        72   

If you need probabilities, divide each number of ways by 504 (=9*8*7, this comes from the total number of balls in the box at first draw, 2nd draw, 3rd draw).