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How many four-character license plates consist of a consonant, followed by a vowel, followed by a consonant, and then a digit? (For this problem, consider Y a vowel.)

 Feb 1, 2018
 #1
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If we allow for repeats....we have

 

20 consonants to choose from to fill the first position

6 vowels to choose from for the second position

20 consonants to choose from  for the third position

10 digits to choose from for the last position

 

 

So....the number of possible plates is

 

20 * 6 * 20 * 10   =

 

24000

 

 

cool cool cool

 Feb 1, 2018

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