For the following languages defined over E = {a, b, c, d} A = {aa, ab, ac, ad} B = {c, d} C = { } D= {1} Calculate the following sets: (i) (ii) (iii) (iv) А.В B?.A (B².A).C (A.B U B?.A).D

Q: A store collected the following information on its 33 employees ... Of these employees , 9 cooked…

A: Given, Total no. of employees = 33 No. of employees cooked food = 9 No. of employees washed dishes =…

Q: Mr. Jones has 10 books that he is going to put on his bookshelf. Of these, 4 are Math books, 3 are…

A: Given:- total books =10 maths books =4 Chemistry books =3 history books =2 song lyric book =1

Q: In how many ways can the letters of the word “rhubarb” be arranged so that all of the vowels are…

A: Given that, The letters of the word “rhubarb” should be arranged such that all vowels are together.

Q: How many different 7-letter words can be made a. if the first letter must be G, X, P, or L and no…

A: Concept: Since, in every case first letter shoud be G, X, P, or L.  Hence, total number of ways for…

Q: What are the number of distinct subsets and number of distinct proper subsets for {a,b,c,d,e,f}?

A: The set contains 6 elements . We know that number of subsets of set of n elements is 2^n. So given…

Q: What group theoretic property do uppercase letters F, G, J, L, P, Q, Rhave that is not shared by the…

A:

Q: here are 39 students in the University Travel Club. The following information and Venn diagram…

A: In the given Venn diagram,  Students who have not travelled to Germany = 25 Students who have not…

Q: ifferent ways can the letters

A: To find :  To find different ways can the letters of the word 'JUDGE' be arranged such that the…

Q: Please give me the definition of the R codes below. What does it use for and indicate?…

A: Given some R codes. We have to define these R codes.

Q: a. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION , ALL ARE TOTALLY DIFFERENT YOU HAVE…

Q: 19) Define an appropriate language and formalize "There is a student who is loved by every other…

A: Given Statement "There is a student who is loved by every other student" Third FOL formula is…

Q: * 7) Consider a language which uses the following set of characters: Prefix set: { a ei} Small set:…

A: The given language are, Prefix Set: {a e i} Small Set: {b c d} Large Set: {B C D} Punctuation Set:…

Q: Let A be the language recognized by the given DFA and let ai ∈ {0, 1}. Design a DFA for the language…

A: Given,

Q: Determine the mode of the following set of values. (Enter your answers as a comma-separated list. If…

A: Solution-: We have given data set values: 5, 1, 8, 7, 5, 4, 3, 1, 1, 5, 4, 3, 9, 3, 5, 4, 5, 1, 1 We…

Q: Assume that X={G,E,D,A}X={G,E,D,A} and Y={5,6,1,2,7}Y={5,6,1,2,7}. A code consists of 2 different…

A:

Q: Show your work and justify. In how many ways can we order a deck of 52 playing cards so that no two…

A:

Q: Consider all 5-letter "words" made from the letters a through h. (Recall, words are just strings of…

A:

Q: For a population containing N=903​ individuals, what code number would be assigned for a. the…

A: Given N=903

Q: Refer to a group of 191 students, of which 10 are taking math, business, and language; 36 are taking…

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: Assume that 155 students are surveyed and every student takes at least one of the following…

A:

Q: For this question, no explanation is required. How many strings of six uppercase English letters (A…

A:

Q: * 6) Consider a language which uses the following set of characters: Prefix set: { a o i} Small set:…

A: Here, to check whether the options are satisfied by the above given rules or not.

Q: (A U B) N (A U C) U A

A:

Q: In some problems of occupancy theory we are con-cerned with the number of ways in which certain…

A: Let there be r indistinguishable objects that need to be arranged in n cell. Suppose (n-1) and r…

Q: c) How many possible (even non-sensical) 4-letter, lowercase English words are there? d) Let X,Y, Z…

A:

Q: Suppose that in a certain state, all automobile license plates have three uppercase letters followed…

A: There are 26 letters [A-Z] and 10 digits [0-9] d) If the letters and digits are distinct then we can…

Q: the following data to detemine Examine the consistency and adequacy quencies of the remaining…

A: In statistics , consistency of procedures, such as computing confidence intervals  or conducting…

Q: Assume that product codes are formed from the letters T, Z, Q, V, Y, U, and X, and consist of 6 not…

A: To determine the total number of product codes satisfying different specified conditions

Q: In one of the Colleges, 100 students were asked about their favorite subjects, the result is as…

A: We need to solve Venn diagram problem.

Q: Prove that in any set of 700 English words, there must be at least two that begin with the same pair…

A: Prove that in any set of 700 English words, there must be at least two that begin with the same pair…

Q: Consider all 5-letter "words" made from the letters a through h. (Recall, words are just strings of…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: How many arrangements can you make in a three letter word using the letters from the word "PINGUIN…

A: To find the number of three letters arrangement make from PINGUIN .

Q: The following Venn diagram was created from surveying each student in class. Each student was asked…

A: Let,  I represents the  international students and M represents the married students. From the Venn…

Q: Suppose we want to Choose a aobjects, without replacement, From the s objects pencil, eroser, desk,…

A: There are 5 objects that is pencil, eraser, desk, chair, lamp Two objects are selected without…

Q: In a survey, the researcher assigned political parties as follows: Democrats=1, Republicans=2, and…

A: Given that In a survey, the researcher assigned political parties as follows: Democrats=1,…

Q: Explain the venn diagram, what should i subtract? Given question: If in a convention, 53 people…

A: Sets are the collection which contain well defined objects. If we have two sets, the union of two…

Q: A OTT provider is interested to know that how its content is preferred by various regional groups.…

A: Given, Observed Frequency (O) Table : number of rows  = 4 ,number of column  = 3 1) Answer : true…

Q: Assume that 155 students are surveyed and every student takes at least one of the following…

A: Given: Assume that 155 students are surveyed and every student takes at least one of the following…

Q: * 7) Consider a language which uses the following set of characters: Prefix set: { a ei} Small set:…

A: Given - Consider a language which uses the following set of characters:Prefix set: { a e i }Small…

Q: What is the relationship between the cla

A: Regular Set is the set that represents the value of regular expression. The relationship between the…

Q: 1.5 Each of the following languages is the complement of a simpler language. In each part, construct…

A:

Q: The following problems refer to strings in A to Z.  (a) how many diffrent four letter strings are…

A: In this question, we have to form a four letter strings using the letters A to Z.Since in this…

Q: Construct a nondeterministic FSA that recognizes the language generated by the regular grammar G =…

A: Given: G=V,T,S,P To find: Solution

Q: O Not similar or not necessarily similar O Similar: AXIZ - A by the Choose one E 18 O Not similar or…

A: Given various pairs of triangles.

Q: Let E (a,b, c). Design an NFA that accepts the language L = {a}, which consists of exactly one word…

A: Solution

Q: During an international conference of journalists, 250 journalists from different countries attended…

A:

Q: Consider the pantial order L on the Ael A =h Luffy, Zoro , Sanji, Chopper, Robin, Brook, Nami, Usopp…

A: Total Order Relation:- Let  R be a relation on a set say X then R is Total Order Relation on X if 1.…

Q: In a school of 1070 students, 530 are girls (G), 900 can swim (S) and 120 are left-handed (L).…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve the following problems using a Venn Diagram. 2. In a certain university 2,191 students are…

A: First, let's draw a Venn Diagram using the given details.

Q: 12. Suppose a list A contains the 30 students in a mathematics class, and a list B contains the 35…

A: list A(Mathematics)=30 studentslist B(English)=35 studentslist A∪B(Both)=20…