Problem 3Consider 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,...

Problem 3Consider 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 char-acter.

Expert Solution

Colby Messinger answered 2 years ago

1. a. How many permutations are there of the letters {A,B,C,D,E,F}? Of there, how many are...

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12. Assume that we randomly choose from the letters {A, B, C, D, E, F, G, H, I, J, K, L} (without replacing the letters), until they have all been taken. (a) Find the probability that the letters A and K are chosen successively in the given order. (b) Find the probability that the letters G, H, I, are chosen successively in the given order. c) Find the probability that the string "LAI" appears somewhere in the sequence of letters....

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1) When randomly ordering the letters A, B, C, D, and E from left to right,...

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