SOLUTION: The DMV creates license tags that contain 3 digits followed by 3 letters. How many different tags are possible if the digit zero cannot be used and the letters can not repeat?
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-> SOLUTION: The DMV creates license tags that contain 3 digits followed by 3 letters. How many different tags are possible if the digit zero cannot be used and the letters can not repeat?
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Question 1140978: The DMV creates license tags that contain 3 digits followed by 3 letters. How many different tags are possible if the digit zero cannot be used and the letters can not repeat? Answer by ikleyn(52803) (Show Source):
= 11372400 different tags.
26*25*24 serves to count all letter combinations without repeating.
9^3 serves to count all 3-digit combinations (with no ZERO), where repeating is allowed.