The Fundamental Counting Princip le

1) In how many different ways can the letters of the word GREAT be rearranged if the new arrangement must begin with a T and repetitions are not allowed?

Is this right? 4! = 4 * 3 * 2 * 1 = 24

2) Some Ontario license plates have two letters followed by four digits. How many different license plates of this type are possible?

Please I really need a good explanation!! please! Help!