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A computer system uses passwords that contain exactlyeight
Chapter 2, Problem 56E(choose chapter or problem)
Problem 56E
A computer system uses passwords that contain exactly
eight characters, and each character is 1 of the 26 lowercase
letters (a–z) or 26 uppercase letters (A–Z) or 10 integers (0–9).
Let ?◊◊denote the set of all possible passwords, and let A and
B denote the events that consist of passwords with only letters
or only integers, respectively. Determine the number of passwords
in each of the following events.
Ω (b) A (c)(d) Passwords that contain at least 1 integer
(e) Passwords that contain exactly 1 integer
Questions & Answers
QUESTION:
Problem 56E
A computer system uses passwords that contain exactly
eight characters, and each character is 1 of the 26 lowercase
letters (a–z) or 26 uppercase letters (A–Z) or 10 integers (0–9).
Let ?◊◊denote the set of all possible passwords, and let A and
B denote the events that consist of passwords with only letters
or only integers, respectively. Determine the number of passwords
in each of the following events.
Ω (b) A (c)(d) Passwords that contain at least 1 integer
(e) Passwords that contain exactly 1 integer
ANSWER:
Solution:
Step 1 of 3:
A computer system uses passwords that contain exactly eight characters.
Each character is 1 of the 26 lowercase letters (a-z) or 26 uppercase letters (A-Z) or integers (0-9).
We have to find the number of possible passwords for the given events.
- A
- Passwords that contain at least 1 integer.
- Passwords that contain exactly 1 integer.