Problem 11. You work in the city's animal-control department and issue pet licences, which have two numbers followed by three letters. a) What is the maximum number of different licences you can create? Explain your reasoning. (3 marks, A, 2 marks, C) b) To avoid confusion, you do not use the numbers 1 and 0 or the letters / and O for the licences. Last year, you issued or renewed a total of 130 000 licences. As a rule of thumb, there is a 10% increase in the number of licences each year. Will you have to change your numbering system this year? Explain your answer. (3 marks, A, 2 marks, C)