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

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