In recent years, the state of California issued license plates using a combination of two letters of the alphabet followed by two digits, followed by another three letters of the alphabet. How many different license plates can be issued using this configuration?
A) 1,188,137,600
B) 831,696,320
C) 950,510,080
D) 712,882,560
E) 1,069,323,840

Question

Quizplus · Accepted Answer

There are 26 choices for each of the first two letters, and 10 choices for each of the two digits, and 26 choices for each of the last three letters. So, the total number of different license plates is $26\cdot 26\cdot 10\cdot 10\cdot 26\cdot 26=1,\!188,\!137,\!600$. Therefore, the best choice is (A).

In Recent Years, the State of California Issued License Plates