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8 January, 18:26

Erial numbers for a product are to be made using 4 letters followed by 3 digits. the letters are to be taken from the first 9 letters of the alphabet, with no repeats. the digits are taken from the 10 digits 0, 1, 2, ..., 9, with no repeats. how many serial numbers can be generated?

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  1. 8 January, 21:13
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    2177280 serial numbers can be formed.

    For the first part, we can have

    9 (8) (7) (6) = 3024 possibilities. This is because there are no repeats; we can have 9 for the first letter, 8 for the second, and so on.

    For the numeric part, we can have

    10 (9) (8) = 720 possibilities. This is because there are no repeats; we can have 10 for the first number, 9 for the second, and so on.

    Together, this gives us 3024 (720) = 2177280.
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