Seber a) There are 4 major autoroutes from Boston to Detroit, and 6 from Detroit to Los Angeles. How many major autoroutes are there from Boston to Los Angeles, via Detroit? b) How many different 3-letter initials can people have, if none of the letters are repeated? Hint: if repetitions are not allowed, then solving each task reduces the number of ways in which the following task can be solved. For instance, if you pick 'A'as the first initial, then you have 25 (B' thru Z) choices for the second initial, and so on, since 'A' cannot be repeated. c) How many bit strings are there of length 6 or less? d) How many license plates can be made using either 3 digits followed by 3 letters, or 3 letters followed by 3 digits