Number plate.....
Number Theory
Level
2
A number plate of a car has 2 letters and 3 numbers (like: AZ 580). It is given that, the first number cannot be 0. How many kind of number plates can be made?
The answer is 608400.
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at first place we can place any of 26 alphabets.
at second place we can place any of 26 alphabets.
at third place we can place any of 9 digits. (exclude 0 here).
at fourth place we can place any of 10 digits.
at fifth place we can place any of 10 digits.
answer=26x26x9x10x10=608400