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License plates consist of 3 letters, followed by 4 numbers (0 to 9), with repetition allowed. 

a) how many license plates do not contain the sequence DOG?

 Mar 9, 2021
 #1
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DOG can only occupy one position in the leter group as there are only three letters allowed

    4 numbers would be   10 000 possibilities     (0000 - 9999)

 

soooo     26 x 26 x 26  x 10 000   -   10000

 Mar 9, 2021

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