suppose a company needs temporary passwords for the trial of a new payroll software. each password will have…

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?

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