Neco 2017 Computer Studies Question 25

Practice objective / multiple choice question 25 from the 2017 Neco Computer Studies examination.

Neco 2017 Computer Studies Objective / Multiple Choice Medium Difficulty
Question 25 NECO • 2017 • COMPUTER_STUDIES • objective

A password policy requires that an 8‑character password contain at least one uppercase letter (26 possibilities), one lowercase letter (26 possibilities), one digit (10 possibilities) and one special character (10 possibilities). Characters may be repeated and any of the 72 allowed characters (26+26+10+10) may appear in any position. Using the inclusion‑exclusion principle, how many distinct passwords satisfy the policy? Give your answer as a simplified expression.

Answer Options

Correct Answer A. \(72^{8} - 2\cdot46^{8} - 2\cdot62^{8} + 20^{8} + 4\cdot36^{8} + 52^{8} - 2\cdot10^{8} - 2\cdot26^{8}\)
B. \(72^{8} - 2\cdot46^{8} - 2\cdot62^{8} + 4\cdot36^{8} + 52^{8} - 2\cdot10^{8} - 2\cdot26^{8}\)
C. \(72^{8} - 2\cdot46^{8} + 2\cdot62^{8} + 20^{8} + 4\cdot36^{8} + 52^{8} - 2\cdot10^{8} - 2\cdot26^{8}\)
D. \(72^{8} - 2\cdot46^{8} - 2\cdot62^{8} + 20^{8} + 2\cdot36^{8} + 52^{8} - 2\cdot10^{8} - 2\cdot26^{8}\)
Correct Answer
A
Correct Option:
\(72^{8} - 2\cdot46^{8} - 2\cdot62^{8} + 20^{8} + 4\cdot36^{8} + 52^{8} - 2\cdot10^{8} - 2\cdot26^{8}\)

About This Question

This is Neco 2017 Computer Studies Question 25. It is one of the objective questions from the 2017 Neco Computer Studies examination.

Difficulty level: Medium .

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