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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- Answer the following questions. 4. Describe how the permutation of ii objects differs from the permutation of choosing r objects from a set of n objects. Include how each is calculated.d) The set E = (-1,0) U (0, 1] is an open set. %3DExercise 10.3.1: Counting passwords without repeating characters. i i About 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. (a) Strings of length 6. Characters can be special characters, digits, or letters, with no repeated characters. (b) 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.
- 3. A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let Y denote the number of hoses on the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation. Which island is most preferred by the customers? 2. 02 p(x, y) 1. 0. 10 .04 08 20 906 .06 14 30two Give example of clsed subset of IR whse an dimensiunal Lebesque outer meosure íis oUse Venn Diagrams to show An (BAC) = (An B) A (AnC).
- : 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'Let A = {1,2,3} and B = {2,7,9}· Then (AN B)UA = %3D None of the these OANB | B O AAnswer this question