Question

In a certain state, car license plates are in the form of L LLL NNN, where L stands for a letter of the alphabet and N stands for a one-digit number from 0 to 9. How many possible car license plate outcomes are there if all are allowed?

Answer 1

In a certain state, car license plates are in the form of L LLL NNN, where L stands for a letter of the alphabet and N stands for a one-digit number from 0 to 9. How many possible car license plate outcomes are there if all are allowed?

A. 1,757,600

B. 17,575,000

C. 6,760,000

D. 675,000

Answer: B. 17,576,000

Answer 2

LLL: 26 posibilities for each term = 26³ = 17,576 possibilities for the letters alone

NNN: 10 possibilites for each term = 10³ = 1000 possibilities for the numbers alone

multiplying the both
17,576×1000
= 17,576,000

Just over 17.5 million license plate outcomes are possible