Consider the following definitions for sets of characters: • Digits {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} • Letters = {a, b, c, d, e, f, g, h, i, j, k, 1, m, n, o, p, q, r, s, t, u, v, w, r, y, z • Special characters = {*, &, $, #} Compute the number of passwords that satisfy the given constraints. (i) Strings of length 7. Characters can be special characters, digits, or letters, with no repeated characters. (ii) Strings of length 6. Characters can be special characters, digits, or letters, with no repeated characters. The first character can not be a special char- acter.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 35E
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Discrete Mathematics
4 of 8
Consider the following definitions for sets of characters:
• Digits
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
%3D
• Letters =
{a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, r, y, z}
• Special characters
{*, &, $, #}
%3D
Compute the number of passwords that satisfy the given constraints.
(i) Strings of length 7. Characters can be special characters, digits, or letters,
with no repeated characters.
(ii) Strings of length 6. Characters can be special characters, digits, or letters,
with no repeated characters. The first character can not be a special char-
acter.
Pages 4 to 5 of 8
108%. O
LT
en US .
UTF-8. Ready Automatic
Transcribed Image Text:4 of 8 Consider the following definitions for sets of characters: • Digits {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} %3D • Letters = {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, r, y, z} • Special characters {*, &, $, #} %3D Compute the number of passwords that satisfy the given constraints. (i) Strings of length 7. Characters can be special characters, digits, or letters, with no repeated characters. (ii) Strings of length 6. Characters can be special characters, digits, or letters, with no repeated characters. The first character can not be a special char- acter. Pages 4 to 5 of 8 108%. O LT en US . UTF-8. Ready Automatic
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