what is the number of different password combinations for an
what is the number of different password combinations for an 18 character password that can contain digits [0-9] and upper and lower case letters [a-z] and [A-Z]? Optional bonus question, what is the American name of the large number that is the answer to the previous question (e.g. 5,000,000,000,000,000 is 5 quadrillion and 1,000,000 is 1 million)?
Solution
Each character can be one of: 10 digits,26 lower case letters,26 upper case letters
So, 62 possible characters for each digit
So,
N=62^{18} total different password combinations
log_{10}62^(18)\\approx 36457
N~10^{36457}
![what is the number of different password combinations for an 18 character password that can contain digits [0-9] and upper and lower case letters [a-z] and [A-Z what is the number of different password combinations for an 18 character password that can contain digits [0-9] and upper and lower case letters [a-z] and [A-Z](/WebImages/42/what-is-the-number-of-different-password-combinations-for-an-1128758-1761602514-0.webp)