The power set P(A) of a set A is the set containing all subsets of A, including itself. Consider the following sets P({a,b,c}) {Ø,{a},{b},{a,b},{c}} = {Ø, {b},{c},{b,c},{a}} U = A = B = How large is the power set of: а. AUB b. AnB с. А— В d. A°

Q: Let A be the set A = {1, 2, 3, 4) and let B be the set B = {5, 6, 7, 8). What is an element in B x…

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Q: The power set P(A) of a set A is the set containing all subsets of A, including itself. Let A = {a,…

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Q: Define the following sets: A = {1,3,7,9,10} B = {2,5,7,8,9,10) C = {0,1,3,10} D = {2,4,6,8,10) E =…

A: Given, D={2,4,6,8,10} E={x\x is negative natural number} That is E={-1,-2,-3....} Therefore…

Q: Let U=(1, 2, 3, 4, 5, 6, 7), A=(1, 3, 5, 7), and B=(2, 5, 7). Find the set AnB AnB= (Use ascending…

A: Note: The complement of set A is defined as a set that contains the elements present in the…

Q: 4. Let X be a set. Let A, B be the elements of the power set of X, P(A). Define the symmetric…

A: When we collect one or more well defined object and keep them together, it forms a set. The theory…

Q: Let B be a set and {A: aeA} be an arbitrary family of sets. Then BUn A) = %3D

A: Answer

Q: Q1 Let U : Determine the following. {1, 2, 3} be the universal set and let A = (1, 2}, B = (2, 3}…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Define the following sets: A = {1,3,7,9,10} B = {2,5,7,8,9,10} E = {x: x is a negative natural…

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Q: Define the following sets: A = {1,3,7,9,10) B = {2,5,7,8,9,10) C = (0,1,3,10) D=(2,4,6,8,10) E = {x:…

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Q: Let N = {m,y}}. List all the subsets of N. Let A = {j,g}. Is empty set a subset of A? Consider these…

A: Consider the given set  N=m , y Now, the subsets of the set N are,  , m , y , m , y Hence, there are…

Q: Let A (k,s), t.en the power set of A is:

A: Set of all subsets of A is called power set of A.

Q: Let A, B, and C be subsets of a universal set U and suppose n(U)= 150, n(A) = 22, n(B) = 24, n(C) =…

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Q: A universal​ set, with​ n(U) = 30​, is partitioned into three​ subsets: A,​ B, and C.     If​ n(B) =…

A: we are given n(U) =30​, n(B) =3​⋅n(A), and​ n(C) =2​⋅n(B) also universal set is partitioned into…

Q: Let A be the set {1, 2, 3, 4}, and P(A) be the power set of A. a. Find | P(A)|. b. List all of the…

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Q: E Let T = {1,2, 3}. List all subsets of T, not forgetting the empty set, Ø, and not forgetting T,…

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Q: Let A = {2n : n e N}, and B = {n E Z : n² is even}. Neither set is a subset of the other. O AC B. O…

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Q: Let S be the universal set, where: S = {1, 2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S,…

A: Ac = S - A ; Bc = S - B

Q: Assume that the set S has 13 elements. How many subsets of S have at most 4 elements?

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Q: Let U be the universal set with disjoint subsets A and​ B, where n(U) = 37​, n(A) = 8​, and n(B) =…

A: first we will find the value of n(A'∩B') we know according to De Morgan's law  A'∩B' =…

Q: Given a finite set S, find all possible values of |S] so that the set {(a, b) | (a E S) A (b e S) ^…

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Q: Prove T={ …,-56,-42,-28,-14,0,14,28,42,…} is a countable set

A: We have to prove the following -   T={ …,-56,-42,-28,-14,0,14,28,42,…} is a countable set.

Q: Consider (Power set of R, c). Let B= {{3},N,Z,Q,R-Q), then Sup(B)= %3D O a. R O b. Q O c. R-Q Od.…

A: Consider Power set of R, ⊆ Let B=3, N, Z, Q, R-Q then SupB is the set S∈Power set of R such that…

Q: Given the sets U = { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 } , A = { 0 , 2 , 4 , 5 , 9 } , B = { 1 ,…

A: Given that the universal set is U=0,1,2,3,4,5,6,7,8,9. Also, the sets A and B are given by…

Q: Consider the set, A = { 1, 2, 3} what is P(A)? {{1},{2},{3},{1, 2 }, { 1, 3}, { 2, 3},{1, 2, A 3}} В…

A: Given the set A= {1,2,3} Find the power set of A (P(A)) First list the all subset of A

Q: A Partition of a set has 3 subsets: A, B, and C. If Pr[A]=.25 and Pr[B]=.45, find Pr[C].

A: The provided information is,P(A) = 0.25P(B) = 0.45According to the general law of probability, the…

Q: Let U be the universal set, where: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Let sets A, B and C be…

A: Given set U={1,2,3,4,5,6,7,8,9,10} A={1,6,7,10} B={2,3,10} C={1,3,4,5,6}

Q: Let: U={a,b, c,d, e, f, g} and to A= {a,b,c,d} B={C,d, e, f} C={a, e,g} %3D Find the set or…

A: Solution: From the given information,

Q: 2. Determine the power set of the following sets: (a}{1,5} (b){a,b,c,d}

A: The power set is a set of all the subsets. a) A=1,5Then,PA=ϕ, 1, 5, 1,5

Q: Let A, B, and C be sets in a universal set U. We are given n(U) = 66, n(A) = 32, n(B) = 33, n(C) =…

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Q: Determine the number of distinct subsets for the given set {t, a, p, e, f, g}.

A: Given set {t, a, p, e, f, g} Since there is no. Of elements = 6 (say n)

Q: Let U= {1,2,. 1} be the universal set. Let A={x|x eU,x is a multiple of 6, B={x\xeU,xis a multiple…

A: Given: U={1,2,...16} A={x|x∈U, x is a multiple of 6} B={x|x∈U, x is a multiple of 5}…