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, l, m, n, o, p, q, r, s, t, u, v, w, x, 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 character.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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, l, m, n, o, p, q, r, s, t, u, v, w, x, 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 character.

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