Solution to (2) How many different license plates can be made consisting of 10 characters if the … - Sikademy
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(2) How many different license plates can be made consisting of 10 characters if the first 5 characters consist of uppercase English letters, while the final 5 characters are digits?

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Considering that the repetition of alphabets and numbers is allowed in the license plates we can find the number of possibilities as under:-


Since there are total 5 positions for alphabets & 5 positions of numbers the total number of possibilities = 26C1*26C1*26C1*26C1*26C1*10C1*10C1*10C1*10C1*10C1*

=26*26*26*26*26*10*10*10*10

=265*105


Total 265*105 different license plates can be made consisting of 10 characters if the first 5 characters consist of uppercase English letters, while the final 5 characters are digits.


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