SOLUTION: 4 A DE license plate starts with a digit other than 0, followed by two capital letters, followed by three more digits (0 through 9). a) How many different DE plates are possib

Algebra ->  Probability-and-statistics -> SOLUTION: 4 A DE license plate starts with a digit other than 0, followed by two capital letters, followed by three more digits (0 through 9). a) How many different DE plates are possib      Log On


   

Question 1043146: 4 A DE license plate starts with a digit other than 0, followed by two capital letters, followed by three more digits (0 through 9).
a) How many different DE plates are possible? ____________________________



b) How many different DE plates start with a 4 and end with a 9? _____________________________


c) How many DE plates have no repeated symbols? __________________________________
(all digits and letters are different)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A DE license plate starts with a digit other than 0, followed by two capital letters, followed by three more digits (0 through 9).
a) How many different DE plates are possible?
9*26*26*10^3 = 6084000
-----------------------------------
b) How many different DE plates start with a 4 and = end with a 9?
1*26^2*10^2*1 = 67600
--------------------------
c) How many DE plates have no repeated symbols?
9*26*25*9*8*7 = 25628400
(all digits and letters are different)
====================
Cheers,
Stan H.
---------------