The number of different license plates that can be formed in the format 3 English letters ( \(A \ldots . . Z\) ) followed by 4 digits \((0,1, \ldots 9)\) with repetitions allowed in letters and digits is equal to
Quick Explanation:
Each of the 3 letters can be any of the 26 English alphabets: \(26^3\)
Each of the 4 digits can be any from 0–9: \(10^4\)
Since repetition is allowed, multiply the two:
\[
\text{Total} = 26^3 \times 10^4
\]
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