Standard automobile license plates in a country display 2 numbers, followed by 2 letters, followed by 3 numbers. How many different standard plates are possible in this system? (Assume repetition of letters and numbers is allowed.)
Answer: 67,600,000 license plates
There are ten digits and 26 letters.
This is simply \(10 \times 10 \times 26 \times 26 \times 10 \times 10 \times 10\), or \(10^5 \times 26^2\).
This equals 67,600,000.
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