i For the foiiowing problem, port a is a sample solution, solve for b, c, d and e. (4 points each for a total of 16 points) Suppose that in a certain state, all automobile license plates have four uppercase letters followed by three digits a. How many different license pistes are possible? Think of creating license plates that satisfy the given conditions as the following seven-step process: In steps 14 moose the letters to put in positions 14, and in steps 5?, choose the digits to put in positions 5?. Since there are 26 letters and 10 digits and since repetition is allowed. there are 26 ways to perform each of steps 14 and 10 ways to perform each of steps 51". Thus the number of license plates is 26-26-2-2-1-1-l : 456,976,!)UU. b. How many license plates could begin with A and end in l)? c. How many license plates could begin with TGIF? d. How many license plates are possible in which all the letters and digits are distinct? e. How many license plates could begin with AB and have all letters and digits distinct