. A computer password consists of thirteen characters. Replications are allowed.How many different passwords are possible if each character may be any lowercase letter or digit? Enter your answer in scientific notation with two digit of accuracy after the decimal point.
26+10 = 36 characters, so 36^13 passwords
If your calculator won't evaluate that, use logs.
36^13 = 10^(13 log36)
To calculate the number of different passwords, we need to consider the number of choices for each character in the password.
Since each character can be any lowercase letter or digit, there are 26 lowercase letters and 10 digits, totaling 36 possible characters to choose from.
As there are 13 characters in the password, we can multiply the number of choices for each character together:
36 x 36 x 36 x ... (13 times) = 36^13
Calculating this value, we find:
36^13 ≈ 1.034 x 10^20
So, there are approximately 1.034 x 10^20 different passwords possible.
To calculate the number of different passwords, we need to consider the number of possible options for each character of the password.
In this case, each character can be any lowercase letter (a-z) or digit (0-9), totaling 26 letters + 10 digits = 36 options.
Since the password consists of thirteen characters, we can multiply the number of options for each character, 36, thirteen times:
36^13 ≈ 3.1537 × 10^19
Therefore, there are approximately 3.1537 × 10^19 different possible passwords.