4. Here is the transition table of a DFA: AED *BAC CGB DEA *EHC FCB GFE HBH Find the minimum-state DFA equivalent to the above. Then, identify in the list below the pair of equivalent states (states that get merged in the minimization process). a) E and G b) C and Ꭰ c) A and d) F and G
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- : Apps Log In to Canvas M Inbox (153) - gul21... MOER - Spring 202.. Answered: Given th... Given that U = {1, 2, 3, ., 11, 12, 13} A = {3, 5, 8, 9, 13} B = {3,5, 6, 8, 9, 10, 11, 12} C = {4, 5, 7, 8, 11} Determine which elements land in each region of the following Venn Diagram. B II. I. III. V. IV. VI. VII. VIII.6.1 Worksheet Exercise 6.1.1: Counting passwords made up of letters, digits, and special characters. 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, I, 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. %3D %3D %3D (a) Strings of length 6. Characters can be special characters, digits, or letters. (b) Strings of length 7, 8, or 9. Characters can be special characters, digits, or letters. (c) Strings of length 7, 8, or 9. Characters can be special characters, digits, or letters. The first character cannot be a letter. Exercise 6.1.2: Selecting lunch specials for the week. (a) A Chinese restaurant offers 10 different lunch specials. Each weekday for one week, Fiona goes to the restaurant and selects a lunch special. How many different ways are there for her to select her lunches for the week? Note that…2. Let A = {r | r is older than 25}, B = {y|y_is older than 50}, C = {z | z is between 20 and 30}. Draw a Venn diagram showing the cor- rect relationship between the sets A, B, and C. %3D
- 1. A survey in a local high school shows that of the 4000 students in the school, 2000 take French (F) 3000 take Spanish (S) 500 take Latin (L) 1500 take both French and Spanish 300 take both French and Latin 200 take Spanish and Latin 50 take all three languages List the elements of the following sets: a. Ln (FUS) b. (LU FUS)' C. L' d. LU SU F' e. FnS'nL'Suppose the Cayley table for B = {e, a, b, c}undt the binary operation * is given by * e а e a а а e e а C C а e What is the center of B , i.e. Z (B)?Only need part(e), thank you!
- 4. Using the table below, describe the set U n E' in words, and find the number of elements it contains. New Authors Established Authors Total Successful 5 25 30 Unsuccessful 15 55 70 Total 20 80 100Pls helP ASAPExercise 10.2.5: Using the k-to-1 rule for counting ways to line up a group. i About Ten kids line up for recess. The names of the kids are: {Abe, Ben, Cam, Don, Eli, Fran, Gene, Hal, Ike, Jan}. Let S be the set of all possible ways to line up the kids. For example, one ordering might be: (Fran, Gene, Hal, Jan, Abe, Don, Cam, Eli, Ike, Ben) The names are listed in order from left to right, so Fran is at the front of the line and Ben is at the end of the line. Let T be the set of all possible ways to line up the kids in which Gene is ahead of Don in the line. Note that Gene does not have to be immediately ahead of Don. For example, the ordering shown above is an element in T. Now define a function f whose domain is S and whose target is T. Let x be an element of S, so x is one possible way to order the kids. If Gene is ahead of Don in the ordering x, then f(x) = x. If Don is ahead of Gene in x, then f(x) is the ordering that is the same as x, except that Don and Gene have swapped…