Question

In Utah, a license plate consists of 3 digits followed by 3 letters. The letters I, O, and Q are not used, and each digit or letter may be used more than once. How many different license plates are possible?

Answer 1

well if you exclude 3 letter you only have 23 to choose from

so the choices are



so if you use the diagram. how many digits can you choose from..?

Answer 2

well, like said in the problem, you can you 3 different digits

Answer 3

I know how many positions there are for digits... but how many digits are you choosing from... it's one of the fundamentals of counting techniques...

Answer 4

and how many letters are you choosing from..?

Answer 5

so you digit choices are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

and there are 23 letters...

so using the diagram, write the number of digit choices for each position on the line.

use the same idea for the letters.

then just multiply everything