onsider 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.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 4SE: Answer the following questions. 4. Describe how the permutation of ii objects differs from the...
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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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