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=[tex]26\times26\times26[/tex]
And the number of ways 4 numbers picked for license plate=[tex]10\times10\times10[/tex]
The total number of distinct license plates that can be created in the given pattern=[tex]26\times26\times26\times10\times10\times10=17576000[/tex]
