Standard license plates for passenger vehicles in California are of the form NMLMXXX where N is any digit except 0, X is any digit, L is any uppercase letter and M is any uppercase letter except I, O and Q. What is the minimal number of California licensed vehicles that need to be parked in a parking structure to guarantee that there are ten vehicles with the same first digit, last digit and the first letter in their license plate number? Assuming that all combinations of letters are allowed, what is the minimal number of vehicles in the structure that guarantees that at least ten have the license plate number beginning with 1, ending with 6 and having the first letter P?
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