State space for Carrom board game. With good visualization and learn in the simplest way. Here I have explained with figure, but there are also many other ways to explain the same concept...

1. Carrom Board Game
(state space search)

2. ( 11 , 11 , 1 )
( 11 , 11 , 1 ) ( 10 , 11 , 1 ) ( 11 , 10 , 1 ) ( 11 , 11 , 0 )
( 11 , 11 , 1 ) ( 10 , 11 , 1 ) ( 11 , 10 , 1 ) ( 11 , 11 , 0 )
( 10 , 11 , 1 ) ( 9 , 11 , 1 ) ( 10 , 10 , 1 ) ( 10 , 11 , 0 )
( 11 , 10 , 1 ) ( 10 , 10 , 1 ) ( 11 , 9 , 1 ) ( 11 , 10 , 0 )
( 10 , 11 , 1 ) ( 9 , 11 , 1 ) ( 10 , 10 , 1 ) ( 10 , 11 , 0 )
( 11 , 9 , 1 ) ( 10 , 9 , 1 ) ( 11 , 8 , 1 ) ( 11 , 11 , 1 )
Start
Win
Win
Win
Win
Win
Win
Notation :-
Hit not a single coin
Hit Black coin
Hit White coin
Hit Red coin
Level 0
Level 1
Level n

3. Explanation : -
• Here we are considering 11 black coins , 11 white coins and 1 red
coin.
• Each node format is corresponding to ( B , W , R )
• Each level is representing player’s striking .
• like level 0 correspondents to player 1 , level 1 to player 2 etc ..
• Green block represent end of the game and corresponding player
(according to level ) wins .
• Here we are not considering all the constrains that exists in real
carrom board game like (Penalty , Due etc..) .