Question 26
In Australian Rules football, a team scores six points for a “goal” and one point for a “behind”. During a game, Vladislav records his team’s score as a sequence of sixes and ones. Exactly three distinct sequences give a final score of 7: (6,1), (1,6) and (1,1,1,1,1,1,1). How many different sequences give a final score of 20 points?