Congratulations! Your team has just won the Basketball State finals. The 6 points you scored helped...

 

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Congratulations! Your team has just won the Basketball State finals. The 6 points you scored helped clinch the victory. On the long bus ride home, you'd like to get some sleep. Before you can doze off though, your brain needs to know how many ways you could have scored 6 points. In basketball, a single shot can score 1 point (free throw), 2 points, or 3 points. For example, if you had scored 3 points, there are 4 ways to have gotten that score. 1. [1,1,1] 2. [1,2] 3. [2,1] 4. [3] Figure out the number of ways (i.e. just the count) you could have scored 6 points to finally be able to get some well-earned sleep for the long bus ride home. Congratulations! Your team has just won the Basketball State finals. The 6 points you scored helped clinch the victory. On the long bus ride home, you'd like to get some sleep. Before you can doze off though, your brain needs to know how many ways you could have scored 6 points. In basketball, a single shot can score 1 point (free throw), 2 points, or 3 points. For example, if you had scored 3 points, there are 4 ways to have gotten that score. 1. [1,1,1] 2. [1,2] 3. [2,1] 4. [3] Figure out the number of ways (i.e. just the count) you could have scored 6 points to finally be able to get some well-earned sleep for the long bus ride home.

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