SOLUTION: An internet site requires a 6 character password made up of 2 digits followed by 4 letters where uppercase letters are not the same as lowercase letters. Without repetition of lett

Question 599207: An internet site requires a 6 character password made up of 2 digits followed by 4 letters where uppercase letters are not the same as lowercase letters. Without repetition of letters or numbers, how many different passwords can be created?
Answer by math-vortex(648) (Show Source): You can put this solution on YOUR website!
Hi, there--
.
number of ways to write first digit (0-9) = 10
number of ways to write second digit (0-9) = 10
number of ways to write the first letter (upper- or lowercase) = 52
number of ways to write the second letter (upper- or lowercase) = 52
number of ways to write the third letter (upper- or lowercase) = 52
number of ways to write the fourth letter (upper- or lowercase) = 52
.
In combinatorics, the fundamental principle of counting, states that if we have A ways of doing something and B ways of doing another thing, then there are A*B ways of performing both actions. So, we multiply the six numbers together:

.
There are 7,311,616 ways to create a password for the internet site.
.
Hoope this helps. Feel free to email me via gmail if you have questions about the solution.
.
Ms.Figgy
math.in.the.vortex@gmail.com
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