Question

In basketball, a player can score points in 3 different ways: 1 point from the foul line, 2 points for shots close to the basket, or 3 points for shots far away from the basket. If a player scores 30 points in a game, how many different ways can this be achieved?

Answer 1

this seems to be a recurrence problem. is it?
do you know the matrix technique to solve recurrences of the form \(a_n = \alpha a_{n-1} + \beta a_{n-2}\) ?

Answer 2

No, actually !