5. Sets and Counting |20 points] (a) 4 points How many distinguishable ways can the ten letters of HULLABAL00 be arranged (to fornm ten-letter words)? b) 4 points) How many different ten-letter words which start with U and end with L can be formed from the letters of HULLABALOO? (c) [5 points] How many different ten-letter words with the letters HU next to each other in this order can be formed from the letters of HULLABALOO? (d) (7 points) Drawing from a deck of 30 cards in three suits of cards numbered 1 to 10, how many combinations of: (i) 6-card hands can be formed that have three different pairs?i) 4-card hands are flushes