Homework Help

A password has to consist of 6 alphabets and 4 numbers. What is the probabilty of a...

asicannot3's profile pic

Posted via web

dislike 2 like

A password has to consist of 6 alphabets and 4 numbers. What is the probabilty of a random sequence of 6 alphabets and 4 numbers being the password if only lower case alphabets are used, both lower and upper case are used.

1 Answer | Add Yours

justaguide's profile pic

Posted (Answer #1)

dislike 1 like

The password has to have 6 alphabets and 4 numbers.

If only lower case alphabets are used, the total number of sequences possible is `26^6*10^4` . If both lower as well as upper case alphabets are used, the total number of possible sequences are `52^6*10^4` .

The probability of a random permutation of 6 alphabets and 4 numbers being the password is `1/(26^6*10^4)` in the first case and `1/(52^6*10^4)` in the second case.

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes