Solution :
Since all the dart are hitting the board and getting stucked , There are possibility of 10 Different score . If we take board with score of 1 , 5 and 10 then the possible scores can be :
1) 1 1 1, 2) 1 1 5, 3) 1 5 5, 4) 1 5 10, 5) 1 1 10, 6) 1 10 10, 7)5 5 5, 8) 5 5 10, 9) 5 10 10,
10) 10 10 10