Asked by michele
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
ANS CHOICES ARE
52040
8100
5040
1000
4000
Answers
Answered by
MathMate
According to the stated question, the conditions are:
The (serial) numbers are produced by two (distinct) letters ("two of these letters") <i>followed</i> 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 <i>distinct</i> (which has not been specified), then there are 9 ways for the second digit and the total is 8100.
The (serial) numbers are produced by two (distinct) letters ("two of these letters") <i>followed</i> 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 <i>distinct</i> (which has not been specified), then there are 9 ways for the second digit and the total is 8100.
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