Suppose that in a certain state, all automobile license plates have three uppercase letters followed byfourdigits. (For each answer, enter an exact number.)

(a) How many different license plates are possible? (b) How many license plates could begin with A and end in 0? (c) How many license plates could begin with EKV? (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