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Licence plates of vehicles in Delhi bear...

Licence plates of vehicles in Delhi bear a three letter cod beginning with 'D' followed by a sequence of four digits (except 0000). Find the possible number of licence plates that can be formed with such codes.

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The Licence plates for vehicles registered in Delhi consist of 3 letters (of English alphabet) followed by 1, 2, 3 or 4 digits. The letter on the extreme right has to be ‘D’. For the 1-digit number plates, the number 0 is not allowed. For others, the digits and the letters, of course can repeat, but the numbers should be significant. Determine the possible number of licence plates.

How many different car licence plates can be constructed, if the licences contain three letters of the English alphabet followed by a three digit number, if repetition are allowed?

How many automobile licence plates can be made if the inscription on each contains two different letters followed by three different digits ?