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 3 years ago

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

1. a. How many permutations are there of the letters {A,B,C,D,E,F}? Of there, how many are even? b. Express the permutation BAFEDC in P6 in cycle notation and determine whether it is even or odd. c. Determine the composition BAFEDC*BCAFDE in P6. Is the composition even or odd? d. What is the members of P6 whose cycle notation (1345)(26)?

4 -letter words'' are formed using the letters A, B, C, D, E, F, G. How...

4 -letter words'' are formed using the letters A, B, C, D, E, F, G. How many such words are possible for each of the following conditions? (a) No condition is imposed. Your answer is : (b) No letter can be repeated in a word. Your answer is : (c) Each word must begin with the letter A. Your answer is : (d) The letter C must be at the end. Your answer is : (e) The second letter must...

12. Assume that we randomly choose from the letters {A, B, C, D, E, F, G,...

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....

Hexadecimal numbers are numbers in base 16. They use the following sixteen digits: 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F. They are...

Hexadecimal numbers are numbers in base 16. They use the following sixteen digits: 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F. They are widely used in computing, for example, to represent colors or network addresses of computers. Convert A2F 1316 to decimal. Show your work. Convert 456710 into hexadecimal. Show your work. Convert 00010101100011002 to hexadecimal. Explain how can you use the fact that 16 = 24? If you convert a 64-bit binary number into hexadecimal, how many hexadecimal digits does it have? Explain.

How many ways are there to arrange the letters ‘a’, ‘b’, ‘c’, ‘d’, and ‘e’ such...

How many ways are there to arrange the letters ‘a’, ‘b’, ‘c’, ‘d’, and ‘e’ such that ‘a’ is not immediately followed by ‘e’ (no repeats since it is an arrangement)? Justify your answer using the product rule, the sum rule, and/or the subtraction rule .

Consider the cross: A/a; b/b; C/c; D/d; E/e x A/a; B/b; c/c; D/d; e/e a) what...

Consider the cross: A/a; b/b; C/c; D/d; E/e x A/a; B/b; c/c; D/d; e/e a) what proportion of the progeny will phenotypically resemble the first parent? b) what proportion of the progeny will genotypically resemble neither parent?

Consider the following relational schema and set of functional dependencies. S(A,B,C,D,E,F,G) D → E E →...

Consider the following relational schema and set of functional dependencies. S(A,B,C,D,E,F,G) D → E E → B C → FG BE → AC Is the decomposition of S into S1(E,G,F) and S2(A,B,C,D,G) a lossless join decomposition? Choose one of the following queries as your answer: SELECT ’lossy’; SELECT ’lossless’;

In how many ways can you rearrange the letters A, B, C, D, E?

Q1. a. Given a schema R (A, B, C, D, E, F) and a set F...

Q1. a. Given a schema R (A, B, C, D, E, F) and a set F of functional dependencies {A → B, A → D, CD → E, CD → F, C → F, C → E, BD → E}, find the closure of the set of functional dependencies ?+ b. Given a schema R = CSJDPQV and a set FDs of functional dependencies FDs = {C → CSJDPQV, SD → P, JP → C, J → S} 1. Find...

If there are 7 total notes C, D, E, F, G, A, and B and if...

If there are 7 total notes C, D, E, F, G, A, and B and if a five-note melody is selected at random (so that all melodies counted in part (a) are equally likely to be chosen), what is the probability that the melody will include exactly two “A” notes, but no other repeated notes? (A few allowable examples: AACEG, ACAEG, DFACA, EAABC, etc.)

Question