Question :

A system administrator has set up the following condition for password selection for the network users:

Password length must be at least $11$ characters.

Password should contain at least one uppercase and one lowercase letter.

Password should contain at least one special symbol $($assuming there are $9$ special symbols $).$

Password should contain at least a number digit.

$$

How many passwords guess need for an attacker to launch a successful attack.

If the attacker machine can guess $760,700$ password per second. How long the attacker will take to compromise the password $($assuming brute force attack$).$

What would be password security with respect to the bit length representation?

Show$$your$$work$.$