2) Suppose that license plates are designed to have two digits followed by three letters. a} If there are no further restrictions. then how many possible license plates exist? b} Hrw man},r license plates exist that have a 'k' as the final letter'.' c} Sometimes, the letters 'o* and "z' are excluded so that they will not be confused with the numbers '' and '2'. How rnang.r license plates exist that do not contain the letters "o' and '2'? d} How many license plates exist that have no digits greater than 5 and include only letters from the set {n1 ,t,1t,y}? e) How many- license plates exist such that the digits are in ascending order and the letters are in alphabetical order