Please answer as many as possible. Thank you so much!

2. An office building contains 27 floors and has 37 offices on each floor. How many offices are in the building? 4. A particular brand of shirt comes in 12 colors, has a male version and a female version, and comes in three sizes for each sex. How many different types of this shirt are made? 6. There are four major auto routes from Boston to Detroit and six from Detroit to Los Angeles. How many major auto routes are there from Boston to Los Angeles via De- troit? 8. How many different three-letter initials with none of the 12. How many bit strings are there of length six or less, not 14. How many bit strings of length n, where n is a positive 16. How many strings are there of four lowercase letters that 20. How many positive integers between 5 and 31 letters repeated can people have? counting the empty string? integer, start and end with ls? have the letter x in them? a) are divisible by 3? Which integers are these? b) are divisible by 4? Which integers are these? c) are divisible by 3 and by 4? Which integers are these