suppose a company needs temporary passwords f...
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
# Explanation:
## Step1: Determine digit choices
There are 6 available digits for the first - position of the password.
6
## Step2: Determine letter choices for each position
Since there are 25 available letters and the letters can be repeated, for each of the three letter - positions, there are 25 choices.
For the second position: 25
For the third position: 25
For the fourth position: 25
## Step3: Calculate total number of passwords
By the multiplication principle, the total number of passwords is the product of the number of choices for each position.
$6\times25\times25\times25=6\times25^{3}=6\times15625 = 93750$
# Answer:
93750