Q1. Suppose we have a specially-adapted typewriter for monkeys to use that has only 8 keys, one for each of the letters A, B, C,D and W,X, Y, Z Important! All of your solutions must be clearly justified with explanations. (1 pt) a. How many 4-letter "words" can be made using this typewriter? (we consider a 4-letter "word" any ordered string made of 4 (not necessarily distinct) symbols from the type- writer) (2 pts) b. How many 4-letter words are there consisting of 4 distinct letters, one of which is the letter 'A'? (this time, letters may not be repeated) (2 pts) b. Using the monkey typewriter, how many 5-letter words can be made that begin with ABC and end with Z' (letters may be repeated