SOLUTION: Suppose that the format for license plates in a certain state is 2 letters followed by 4 numbers. - How many different plates are there if the letters can be repeated but no two

Algebra ->  Permutations -> SOLUTION: Suppose that the format for license plates in a certain state is 2 letters followed by 4 numbers. - How many different plates are there if the letters can be repeated but no two      Log On


   



Question 566618: Suppose that the format for license plates in a certain state is 2 letters followed by 4 numbers.
- How many different plates are there if the letters can be repeated but no two numbers can be the same?
- How many different plates can be made if repetitions of numbers and letters are allowed except that no plate can have four zeros?
Thanks!

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If the letters can be repeated but no two numbers can be the same
+26%2A26%2A10%2A9%2A8%2A7+=+3407040+
if repetitions of numbers and letters are allowed except no plate can have 4 zeros
+26%2A26%2A10%2A10%2A10%2A10+-+26%2A26+
+26%2A26%2A%2810000+-+1+%29+
+26%2A26%2A9999+=+6759324