Imagine a vending machine that only accepts combinations of 5p and 10p coins to get a coke. The cost of a coke is 15p and the machine does not return change.

a) What are the possible states that the vending machine might be in? Your answer should simply be a list of states.

b) Now think about the possible ways or paths that the vending machine can take to get into these states. Dont forget to consider how the vending machine starts in the initial state. Draw a state diagram that models these transitions using the states you identified in part (a). Your answer should just consist of a state machine diagram.