Q-2: a) [3+3+4 marks] Consider the following street map: ** 1 ** 1 ** 1 19 You may travel only north or east. i. What is the total number of different routes you may take from A to C? ii. What is the total number of different routes you may take from B to D? iii. Suppose that you are at a corner on a rectangular grid of streets. You want to go to a corner m blocks east and n blocks north. What is the total number of different routes you may take? b) [5+5 marks] Three letters are chosen at random from the word "calculator". What is the probability that i. One of them is a "t"? ii. One or more of them is a "c