Counting binary strings In some video games, designers might build in a “cheat code” that you can use to give your character extra lives or extra powers. The cheat code is a sequence of buttons that you press on the controller in a particular order. Use the image of the controller shown here to answer the following questions. For these questions we will just focus on three of the buttons on the controller: A, B, and C.
1. Suppose a certain cheat code is made up of two button-presses. How many possible sequences are there for this cheat code? List them all.
2. Another kind of cheat code is made up of three button-presses. How many possible sequences are there for this cheat code? How did you get your answer?