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Combinatorics

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License Plates

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COMBIN-TXKLJE

In a certain small country the license plates consist of 2 letters followed by 4 digits. For instance, BC4223 is a valid license plate.

How many license plates are possible?

A

$26^2 + 10^4$

B

$26+26+10+10+10+10$

C

$26^2\cdot 10^4$

D

$(26+10)^6$

E

none of the above