Australian AMC 2013 - Upper Primary Question 30

A hockey game between two teams is ‘relatively close’ if the number of goals scored by the two teams never differ by more than two. In how many ways can the first 12 goals of a game be scored if the game is ‘relatively close’?

For questions 26 to 30, shade the answer as a whole number from 0 to 999 in the space provided on the answer sheet.