find the number of license plates that can be made if each plate contains two different letters followed by three different digits if the first digit can not be 0.
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There are 5 places to fill
2 places of alphabet(out of 26) can be filled in =26∗25 ways
3 places of digits(out of 10) can be filled in =10∗9∗8 ways
No of different plates =26∗25∗10∗9∗8=468000
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