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## Homework Statement

A certain state issues a series of automobile license plates such that each license plate

must have 2 letters followed by three digits. An example license plate would be AD 025 .

If the letters and the digits cannot be repeated, how many different license plates can be

issued by the state?

(a) 468,000 (b) 486,720 (c) 46,800 (d) 1,300 (e) 67,600

## Homework Equations

Rules of factorials?

(ex: 5! = 5*4*3*2*1)

## The Attempt at a Solution

How would I go about this?

I was thinking (26*25) + (10*9*8), but that is not an available option

Thanks