1. Let A = {2, {2},{{2}}}, B = {2, {2}, {2, {2}}}. Is A C B? Is BC A? Is either A or B a proner subset of the other?

Q: Suppose a company interviews four subjects about how the company is run: subject A, subject B,…

A: Introduction: It is assumed that the question here contains the full information relevant.

Q: A company surveyed 36 people at an Italian restaurant and asked if they ordered the following pizza…

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Q: 2. A survey of 80 freshmen at a certain college showed the following: 36 take English 32 take…

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Q: How many ways are there to choose two subsets A and B of [n] so that A ⊆ B, and |B| is even

A: Using logic of sets and subsets we will solve the problem. Using facts we will find a solution to…

Q: 1. In a survey of 206 investors, it was observed that only 10 employees owned shares in the company,…

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Q: Let A = { a, e, i, o, u} and B = { a, b, c, d}. Is A a subset of B ? No.(Why?). Is B a subset of A?…

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Q: Given the sets A = {0, 1, 3}, B = {1, 4, 5}, and C = {0, 1, 3, 4, 5}, what is A ∩ B ∩ C?

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Q: M&M’s® offers customers the opportunity to create theirown color mix of candy. There are 21…

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Q: o How many ways six persons can stand in a line such that two specific persons do not stand close to…

A: six person want to stand in line and two specific not want to stand close to each other. we have to…

Q: Consider the poset (z*, |). Which of the following pairs of elements are comparable? 5, 15 6, 9 8,…

A: We have to determine whether the given pairs of elements are comparable or not in the poset Z+,| (1)…

Q: If N={1,2,3), then (xlxEN< ? }

A: Given :- N = {1,2,3} Then {x | x ∈ N &lt; ?} Here , N &lt; 4 So, {x | x ∈ N &lt; 4}

Q: A survey of 40 college seniors resulted in the following crosstabulation regarding their…

A: Given: Undergraduate Major Graduate School Business Engineering others Total Yes 5 4 1 10 No…

Q: 2. Consider the collections C = {penny, nickel, dime, quarter} D = {penny, nickel, nickel, dime,…

A: (a) The number of elements in collection C is 4 and the number of elements in the collection D are…

Q: Given the sets of A = (1,2,3,4,5,6,7,8) , B = (5,6,9,12,11,15,21) and C = {3, 4,5, 8, ,9,10, 13).…

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Q: How many proper subsets does S = {A, B, C, D} have?

A: We can find the number of proper subsets as below using the required formula.

Q: A box contains two black balls, labeled 1 and 2, and five white balls, labeled 3, 4, 5, 6, and 7.…

A: One person to get the both balls by 2 different ways

Q: 4) Suppose there

A: Given, there are a million cars made by a car company across the globe, where the probability that a…

Q: What is the size of the power set of S={1,2,3,4}?

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Q: Consider the Venn Diagram below.     n(A)= ? n(A∪B)= ? n(B¯)= ? n(A¯∩B)=  ?

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Q: 6. If Aang, Katara, Zuko, Toph, and Sokka sit down in a row, then there are 20 arrangements possible…

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Q: 2) From a deck of 52 playing cards, 5 cards are to be drawn. How many sets of 5 cards are possible…

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Q: Out of 420 people in a club, 40% of them are over 30 years old.Of the people under 30 years of age ,…

A: Please refer the attached image for complete solution.

Q: Let A = {raisin, prune, lemon, pear}, B = {lime, cantaloupe, orange}, and C = {lemon, berry, peach,…

A: Given sets are A=raisin, prune, lemon, pearB=lime, cantaloupe, orangeC=lemon, berry, peach,…

Q: Note that there are 5 cards in a hand. -Jim Hendrickson (1) How many different hands contain exactly…

A: a) Given that there are 5 cards on hand . Obtain the number of different hands contain exactly 4…

Q: 29. How many possible sets of four marbles are there?

A: There are 3 red, 2 green, 1 lavender, 2 yellow and 2 orange marbles. 4 marbles are to be chosen.

Q: 4. How many permutations are there of the letters in the word BALLOON if the first and the last…

A: NOTE*** As per bartleby guidelines for more than one question asked only first to be answered, send…

Q: survey of 50 musicians showed that: 30 play the piano, 20 play the guitar, 20 play the violin, 12…

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Q: 1. Which of the following sets are equal? А 3D (а, b, с, d} C = {d, b, a, c} В 3 [d, е, а, с) D =…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Consider the Venn Diagram below.     n(A¯)= ? n(A∩B¯)= ? n(B∪A¯)= ? n(A¯∩B¯)= ?

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Q: The following are the number of defective bolts produced by two machines. Machine A Machine B 2…

A: Given: The number of defective bolts produced by two machines are, Machine A 2 4 6 5 8 10 1 3 6…

Q: In how many ways it is possible to partition set B = {1, 2, 3, 4, 5} into 3 nonempty subsets? O a.…

A: Given set is B = {1, 2, 3, 4, 5}

Q: Suppose a researcher is surveying four subjects: subject A, subject B, subject C, and subject D.…

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Q: Let A = {0, 2, 4, 6}, B = {1, 2, 3, 4, 5}, and C = {1, 3, 5, 7}. Find B U (AN C). || {

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Q: What are all subsets of {Romeo,Juliet}?

A: Here the elements of the set are Romeo and Juliet. So the number of elements are 2.Hence, the…

Q: Suppose a researcher is surveying four subjects: subject A, subject B, subject C, and subject D.…

A: B. Subject B.

Q: Consider sets A={1,3,5} and B = {2,4,6}. Find A U B

A: The given sets are A={1,3,5} and B = {2,4,6}. The union of any two sets is the set of all the…

Q: SAT alex casey hunter drew blair jade erin glen francis ira From the above Venn diagram, what is the…

A: Using set theory

Q: find the subset of (E, B,T,*)

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Q: If A is a perfect subset of B and P(a < Pb), then P(B - A) is equal to P(a)P (b) .a .b P(a) + P(b)…

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Q: 1. A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the…

A: Given, 4 Mothers and 5 Children

Q: 4. Construct the Hasse Diagram of the following posets: a.) ({1,2,3,6,12,24},|) b.)…

A: (a) ({1, 2, 3, 6, 12, 24}, |) Since, 24 is connected with all the elements means 24 is divisible by…

Q: b) The number of elements of the set A = {{{Ø}}, {{Ø}} n {Ø}, {Ø} U {Ø, {Ø}}} equals

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Q: A bowl contains 7 red balls, 5 white balls, and 3 green balls. In how many ways can 3 balls be drawn…

A: Given,no.of red balls=7no.of white balls=5no.of green balls=3Total no.of balls=15

Q: by each participant is presented here.

A: Let X1 be the random variable such that jail sentence recommended by the participants in group 1. M1…

Q: Consider the Venn Diagram below.   n(A)=  ? n(B)= ? n(A∩B)= ? n(A∪B)= ? n(A¯)= ? n(B¯)= ?

A: We have to find out the cardinality of set

Q: Let A=​{peach, kiwi, tomato, raisin​}, B=​{lemon, watermelon​}, and C {tomato, lemon, pear,…

A: Let A and B be two sets .         1.)  n( A∪B)=nA+n(B)-n(A∩B)         2.) n(A∪B)= n(A-B)+n(A∩B)+ n…

Q: Consider the Venn Diagram below. A В 10 7 4 n(A) 9 n(An B) = | 10 n(BUĀ) = 4

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Q: For the experiment in which the number of pumps in use at a single six-pumps gas station is…

A: 1.Look elements of both set A and B carefully 2. Cancel all the elements which is found similar in…

Q: Given ξ= {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q}, P = {b, e, c, j, m, n}, R = {c, l, m,…

A: Given- ξ = a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, P = b, e, c, j, m, n, R = c, l, m, n,…

Q: 12. How many possible sets of four marbles include no more than 1 purple marble?

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.