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The standard configuration for a Philippine license plate is 3 letters followed by 3 digits. How many different license plates are possible if letters and digits can be repeated?

Sagot :

Answer:

17,576,000 license plates

Step-by-step explanation:

There are 26 letters in the English Alphabet while there are 10 single digits (0,1,2,3,4,5,6,7,8,9) that can be used.

Since you need to fill up the configuration with 3 letters and 3 digits, this is how it must be done

For 3 letters: 26 x 26 x 26 =  17576

For 3 digits: 10 x 10 x 10 = 1000

17576 x 1000 = 17,576,000