A standard New York car license plate has 3 letters followed by 4 numbers. If the letters and numbers can be repeated, the number of distinct license plates that can be created in the given pattern is ___?
ok
26 letters
10 numbers
can be repeated
3 letters then 4 numbers
26262610101010=175760000 distinct plates
Answer: The number of distinct license plates that can be created in the given pattern is 17576000.
Step-by-step explanation:
Given: A standard New York car license plate has 3 letters followed by 4 numbers.
If the letters and numbers can be repeated, then the number of ways 3 letters picked for license plate=\(26\times26\times26\)
And the number of ways 4 numbers picked for license plate=\(10\times10\times10\)
The total number of distinct license plates that can be created in the given pattern=\(26\times26\times26\times10\times10\times10=17576000\)