Using the Fundamental Counting Principle, how do i solve this word problem:
your state issues license plates consisting of letters and numbers. there are 26 letters and 10 numbers. how many possible license plates can be issued with 2 letters followed by 3 numbers if letters and numbers must be unique?

Question

Using the Fundamental Counting Principle, how do i solve this word problem:
your state issues license plates consisting of letters and numbers. there are 26 letters and 10 numbers. how many possible license plates can be issued with 2 letters followed by 3 numbers if letters and numbers must be unique?

anonymous · Answer

counting principle says multiply all the choices together
you get $26\times 26\times 10\times 10\times 10$

anonymous · Answer

more succinctly written as $$26^2\times 10^3$$