A state makes auto license plates that have two letters (excluding i, 0, and q) followed by four digits of which the first digit is not zero. how many different license plates are possible? 3,085,128 3,470,769 4,761,000

Question

Mathematics

Keegan Stevens

23 May, 16:27

A state makes auto license plates that have two letters (excluding i, 0, and q) followed by four digits of which the first digit is not zero. how many different license plates are possible? 3,085,128 3,470,769 4,761,000

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Answers (2)

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Brandt · Answer 1

A state makes auto license plates that have two letters (excluding I, 0, and Q) followed by four digits of which the first digit is not zero. How many different license plates are possible?

Lilian Klein · Answer 2

There are 26 letters in the alphabet, with the exclusion of the three listed letters, there will only be 23 choices. With regards to the digits, there are 10 including 0 which cannot be part of the third character in the code. Thus, we use the principle of counting and that,

N = 23 x 23 x 9 x 10 x 10 x 10 = 4761000

Thus, the answer is the third choice.