MATH

Ten different letters of an alphabet are given .2 of these letter are followed by two digits are used to number the product of a company .in how many ways product can be numbered?
ANS CHOICES ARE
52040
8100
5040
1000
4000

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  1. According to the stated question, the conditions are:

    The (serial) numbers are produced by two (distinct) letters ("two of these letters") followed by (any) two digits (0-9), then the number of ways products can be numbered will be:

    first letter : 10 ways
    second letter: 9 ways
    first digit: 10 ways
    second digit : 10 ways
    Total=10*9*10*10=9000 ways.

    If the two digits are to be distinct (which has not been specified), then there are 9 ways for the second digit and the total is 8100.

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