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A system enforces a stringent password policy requiring a minimum length of 1 2 characters Additionally, each password must contain at least one uppercase letter

A system enforces a stringent password policy requiring a minimum length of 12 characters Additionally, each password must contain at least one uppercase letter (A-Z), one digit (0-9), and one special character (~!,, #, $,%^, &,*,).Calculate the total number of possible passwords if the length is exactly 8
characters.
Calculate the entropy of passwords adhering to this policy, considering the required character set and length constraints.
- Determine the total number of possible passwords complying with this policy. Compute the variance in password swength when the policy is actered to allow longer passwords (minimum length of 16 characters) while restricting the character set to only lowercase letters (a-z).
4- Discuss the significance of entropy and variance in relation to the security implications of the system's password policy against brute-force attacks.

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