SOLUTION: license plates in a particular state are to consist of a 4 digits followed by 2 upper case letters How many different license plates can there be in this state if repetition of

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Question 1120537: license plates in a particular state are to consist of a 4 digits followed by 2 upper case letters
How many different license plates can there be in this state if repetition of letters and numbers is permitted
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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Answer. 10%5E4%2A26%5E2 different licence plates.


Solution 

10 different digits are possible in the very left-most position, which gives 10 options.


10 different digits are possible in the next position, which gives 10 options.


10 different digits are possible in the third position, which gives 10 options.


10 different digits are possible in the fourth position, which gives 10 options.


Any of 26 letters can occupy the 5-th position, which gives 26 options.


Any of 26 letters can occupy the 6-th position, which gives 26 options.


When you multiply all options (that are independent !), you will get the answer.