# 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...

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.

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Expert Answers

justaguide | Certified Educator

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.**