SOLUTION: Suppose a company needs temporary passwords for the trial of a new payroll software. Each password will have one digit followed by three letters. The letter G and the digits 2, 3,

Algebra ->  Permutations -> SOLUTION: Suppose a company needs temporary passwords for the trial of a new payroll software. Each password will have one digit followed by three letters. The letter G and the digits 2, 3,       Log On


   



Question 1144412: Suppose a company needs temporary passwords for the trial of a new payroll software. Each password will have one digit followed by three letters. The letter G and the digits 2, 3, 4, and 5 will not be used. So, there are 25 letters and 6 digits that will be used. Assume that the letters can be repeated. How many passwords can be created using this format?
Answer by ikleyn(52801) About Me  (Show Source):
You can put this solution on YOUR website!
.

For the digits, you have 6 options in the first position.


For the letters, you have 25 options in each of the next three positions.


All these options are independent.


So, the answer is  6%2A25%5E3.


You calculate the number.

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To see many similar solved problems, look into the lessons
    - Combinatoric problems for entities other than permutations and combinations
    - Miscellaneous problems on permutations, combinations and other combinatoric entities
in this site.

After reading these lessons, you will be trained in solution such problems and will get more confidence.


Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.