AFL scores

Question

Marty follows St Kilda in the AFL. When he has given up any hope the his team might win the game, he makes some notes about the game.

 

One day he wrote the following:

 

St Kilda: 0-0-0

Other team: 7-7-49

 

Very interesting, he thought. 7 goals, 7 behinds is 7x6+7x1=49 points and 7x7=49.

 

How many other shorelines such as this are possible? Find all possibilities.

Answer 1

For any n,

n(n - 1) + n

n² - n + n

n²