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.
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.
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 22E: License Plate Numbers In a certain state, each automobile license plate number consists of two...
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Discrete Mathematics
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.
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