Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows, Witbank Aces, Royal Tigers, Dundee United, Lyon} be a universal set, A = {Sout Liverpool, Maroka Swallows, Royal Tigers}, and B = {Barnsley, Manchester United, Southend}. Find the number indicated. n(A')

Q: Let S = {1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} be the universal set,…

A: The set B' is calculated using the formula, B'=S-B .

Q: A box contains 15 balls in which seven are green and eight are yellow. If five balls must be drawn…

A:

Q: 2. In a certain university 2,191 students are enrolled in its College of Arts and Sciences. 980 are…

A:

Q: Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows,…

A: Given that, S = {Brinsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka…

Q: Consider a bag containing four red marbles, three green ones, one transparent one, three yellow…

A:

Q: Show that A = {2,3,4,5} is a proper subset of B = {2,4,5,6,3}

A: A set X will be called a subset of Y, if each elements of X belongs to the set Y . A set X will be…

Q: A standard deck of cards contains 4 kings, one each from each of the 4 suits. If this relationship…

A: Intersecting Sets because each set would have one member who is also a member of the other set.

Q: The set of elements in (-, 9) or (-, 12) or in both sets is .

A: The sets are (-∞,9) , (-∞,12)

Q: A box contains 15 balls in which seven are green and eight are yellow. If five balls must be drawn…

A: It is given that Number of green balls = 7 Number of yellow balls = 8 Total number of balls = 15…

Q: How many subsets with an odd number of elements does a set with 12 elements have?

A: Given that a set contains 12 elements. We need to calculate the total number of subset with an odd…

Q: Set C is a set of states in the United States whose names start with the letter H in roster form

A: In this question we have to write a set C in roster form which contains states of United Stated…

Q: Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows,…

A: Given sets are: Universal set: S=B, M, S, SU, LP, MS, W, R, L Set A contains: A=S, LP, MS, R Set B…

Q: A group of high school students reports who has a job and who plays sports. The information is…

A: lets the event having a job = J event that random person is in sports  = S probability of having a…

Q: Suppose there seven people at a party. Is it possible that everyone at the party knows exactly three…

A: It is not possible. Imagine constructing an acquaintance graph in which each of the 7 people are…

Q: Show that the set {2/3,1/3,2/9,1/6...} is countable

A: Given set of numbers{2/3, 1/3, 2/9, 1/6...}. Here, this set of rational numbers will be proved as…

Q: Consider a bag containing five red marbles, three green ones, one transparent one, three yellow…

A: The five marbles(none of them are red or green) to be selected from a bag containing 5…

Q: A bag contains two red marbles, two green ones, one lavender one, four yellows, and three orange…

A:

Q: Consider a bag containing five red marbles, two green ones, one transparent one, four yellow ones,…

A:

Q: 2. How many 3 element subsets of the set {a, b, c, d, e, f, g, h, i} contain no vowels?

A:

Q: How many unordered sets are possible that contain three objects chosen from seven?

A: Number of unordered sets that contain three objects chosen from seven = 7C3

Q: Suppose A₁, A2, ..., A30 are thirty sets each having 5 elements and B₁, B₂, ..., B₁ are n sets each…

A: Given that A1, A2, . . ., A30 are thirty sets each having 5 elements and B1, B2, . . ., Bn  are 'n'…

Q: How many ways are there to select three unordered elements from a set with five elements when…

A: Given: Number of elements = 5 Number of unordered elements = 3 If repetition is allowed,…

Q: 8. Show that the set (0, 1) – {1/2, 1/3, 1/4, -..} is uncountable.

A:

Q: 6. Let S be a set containing 700 elements. which is greater, the number of subsets of S having 400…

A: We have given as set 'S' with '700' elements in it. Concept:  CARDINALITY -- Cardinality is the…

Q: If A (5, 7, 8, 9}, B = {3, 4, 5, 6} and C = {2, 4, 6, 8, 10}; where n is total number of distinct…

A:

Q: How many unordered sets are there of two items chosen from four? sets

A: To Find: How many unordered sets are there of two items chosen from four? Concept: Crn=n!r!n-r!

Q: How many subsets are there of the set N = {5, 42}?

A: We ahave to find no. Of subsets.

Q: Let S = {Aylesbury, Manchester United, Southend, Sheppey United, Liverpool, Golden Arrows, Witbank…

A:

Q: Let [A1, A2. [B1, B2, C1, C2 be 3 married couples who attended a concert in Windhoek. a) In how many…

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Q: Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows,…

A: We want to find nA∪B'

Q: Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows,…

A: Given that the sets S= {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka…

Q: so the S and T remain next to each other (though not necessarily in that order, so ST or TS are both…

A: Consider as S and T as one letter. So now the total number of English alphabet which needed to…

Q: 2) Explain how you count the number of elements in the set A = {n EN| n <500 and gcd (n, M) = 1},…

A:

Q: Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows,…

A: A detailed solution is given below.

Q: Consider a bag containing four red marbles, three green ones, one transparent one, four yellow ones,…

A: Given:  4 Red Marbles 3 Green Marbles 1 Transparent Marbles 4 Yellow Marble 3 Orange Marble  To…

Q: Suppose that Ten service customers need service call and the maintenance worker can only service…

A: Based on the information, the dispatcher cares who serviced first, second and third. In this…

Q: Show that the set {2/3, 1/3, 2/9, 1/6,...} is countable

A:

Q: How many distinct proper subsets are there of the set N = {9, 41, 68, 17, 33, 54}?

A: Number of the proper set = 2n -1

Q: How many unordered sets are there of two items chosen from eight?

A: To find unordered sets of two items chosen from eight. Number of unordered sets r chosen from n is…

Q: 23 In a plane of 160 passengers, the airline has provided 48 meals of chicken rice, 78 meals of…

A: A Venn diagram is an illustration that uses circles to show the relationships among things or finite…

Q: the collection of the five worst U.S Presidents well defined and a set?

A:

Q: Let S={1,2,3,4,5,6} How many subsets are there of cardinality 4?

A:

Q: Consider a bag containing five red marbles, three green ones, one transparent one, three yellow…

A:

Q: Let A={blue,orange,red,yellow,green} and B={silver,orange,blue,gold,yellow}. Which sets represents…

A:

Q: Let U = {6, 7, 8, 9, 10, 11, 12}, and A = {6, 7, 8, 9}. List all the members of the given set.  Ā

A: The Universal set U is defined as U = {6, 7, 8, 9, 10, 11, 12}.

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: Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows,…

A:

Q: If A {100, 200, 300, 400, 500, 600} and B {200, 400, 600, 800}, find: AUB O {100, 200, 300, 400,…

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

A: