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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*
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.