Dart board

[huneynumb]

Sally constructed a dart board. The possible scores are 0,1,2,3. A score of 0 is obtained if the dart misses the board. Sally challenes John to a game consisting of each player throwing 6 darts at the board. The scores from the 6 throws are added. In how many ways can a total score of 15 or 16 be obtained?

 

Note that the thw total score obtained from 1+0+0+3+3+2 is consisdered different to the score 0+0+1+3+3=2