Neco 2024 Computer Studies Question 12

Practice objective / multiple choice question 12 from the 2024 Neco Computer Studies examination.

Neco 2024 Computer Studies Objective / Multiple Choice Medium Difficulty
Question 12 NECO • 2024 • COMPUTER_STUDIES • objective

A company's password policy requires passwords of length eight characters. The allowed characters are 26 uppercase letters, 26 lowercase letters, 10 digits and 10 special symbols. A valid password must contain at least one uppercase letter, at least one digit and at least one special symbol (lower‑case letters are optional). Determine (a) the total number of possible passwords that satisfy the policy, and (b) the probability that a randomly generated eight‑character string (using all 72 allowed characters with equal likelihood) meets the policy. Express your answer for (a) as an exact integer and for (b) as a reduced fraction.

Answer Options

Correct Answer A. Valid = 72^{8} - (46^{8}+2·62^{8}) + (2·36^{8}+52^{8}) - 26^{8}; Probability = Valid / 72^{8}
B. Valid = 72^{8} - (46^{8}+2·62^{8}) - 26^{8}; Probability = Valid \/ 72^{8}
C. Valid = 72^{8} - (46^{8}+3·62^{8}) + (2·36^{8}+52^{8}) - 26^{8}; Probability = Valid \/ 72^{8}
D. Valid = 72^{8} - (46^{8}+2·62^{8}) + (2·36^{8}+52^{8}) - 26^{8}; Probability = Valid \/ 70^{8}
Correct Answer
A
Correct Option:
Valid = 72^{8} - (46^{8}+2·62^{8}) + (2·36^{8}+52^{8}) - 26^{8}; Probability = Valid / 72^{8}

About This Question

This is Neco 2024 Computer Studies Question 12. It is one of the objective questions from the 2024 Neco Computer Studies examination.

Difficulty level: Medium .

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