Posted by **michele** on Friday, April 22, 2011 at 5:15pm.

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

- MATH - typo? -
**MathMate**, Friday, April 22, 2011 at 7:38pm
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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