Let  U = {1, 2, 3, 4, 5, 6, 7, a, b, c, d, e}.  If  A = {1, 2, a, e}  and  B = {1, 2, 3, 4, a, b, c},  find the following. (a)     n(Ac) (b)     n(A ∩ Bc) (c)     n(A ∪ Bc) (d)     n(Ac ∩ Bc)

Q: 4. Let B = {1, 2, 3, 4, 3, 2, 1}. What is |B|?

A: We will solve the following

Q: In (IR, Tu), if A = (3,5) n (Q – N) then A %3D

A: Given that in the topological space ℝ, τu ( the usual topological space )            A=3,5∩ℚ-ℕ Then…

Q: Let U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }, A = {1, 3, 5, 7 }, B = { 3, 4, 5, 6, 8, 10 }, C = { 2, 4,…

A:

Q: . If n(A) = 15, n(B2)= 20, and n(A ∩ B) = 10,find n(A ∪ B)

A: Given: nA=15, nB=20, nA∩B=10

Q: Let A = {2, 3, 4, 5, 6}, B = {4, 5, 6, 7,8}, and C = {3,6,8}.

A: By the answering guidelines of Bartleby, we can answer only first three subparts, PPlease post other…

Q: Let A= {1, 2, 3, 4, 5} and B = {∅}. Find A ∪ B.

A:

Q: 2. Let, a, = 3, az = 4 and for n2 3, a, = 2a,-1 + an-2 + 5, express a, in terms of n.

A: Introduction: The disparities between every two successive terms in an arithmetic progression (AP)…

Q: Let S = {0, 1, 5, 4, 7}, number of subsets of S is 32Q, then find the value of Q.

A: S is a set with cardinality 5 and given he number of subsets of S is 32Q, then we have to find the…

Q: Find ({1, 2, 3} N {2, 3, 4, 5}) U {6, 7}. O {1, 2, 3, 4, 5, 6, 7} O {1, 2, 3, 6, 7} O {2, 3, 4, 5,…

A:

Q: Let U = {2,4,6,8,10,12} A = {2,4,6,12} B = {6,8,10} C = {2,4,10,12} Determine A - C

A: Solution - Given that Let U = {2,4,6,8,10,12}   A = {2,4,6,12}   B = {6,8,10}   C = {2,4,10,12}…

Q: If A={2,3,5,7}, B={2,4,6,8,10}, and C={1,2,3,4,5}, then what is (A∪C)∩(B∩C)?

A:

Q: et V = {1,2,3,4,5,6} and B = {{1,2,3},{1,5,6},{3,4,5},{2,4,6}}. Determine |Aut(V, B)|

A: Given: V = {1,2,3,4,5,6} B = {{1,2,3},{1,5,6},{3,4,5},{2,4,6}}

Q: Suppose you are to seat three people (Anna, Beth and Charlie) in a row. In how many ways, can they…

A:

Q: If AnB= {1,2, a, b} and A – B= {3,c}, then which of the following is A? O {1,2,a,b,c} {1,2,3,a,b,c}…

A: Given that A n B = {1, 2, a, b} and A - B = {3, c } then by using benn diagram we solve this…

Q: Let U = {0, 1,2, ...,9}, A = {1,4,7,8}, B = {1,3, 6, 7, 9}, and C = {1, 2, 3, 5, 7}. BUC= BUC= ANB =…

A:

Q: O Equal O Equivalent

A: Given: The set A=2, 4, 5, 8. The set B=2, 4, 6, 8. Two sets P and Q are said to to equal, if each…

Q: If A+B=X and A-B=Y then...?

A: System of linear equations,

Q: 4. Define = {1,2,3,4,5,6} and A₁ = {i} for i = 1,2, ...,6, B = {1,4}, C = {2,3,4}, D = {1,2,3} and E…

A:

Q: Let A={1,2,3,4},B={-1,0,1,3} , then B\A is: .a {-1,0,1,2,3,4} .b {-1,0} .C {1.3}

A: Given- Let A = 1, 2, 3, 4, B = -1, 0, 1, 3 To find- What is B \ A?

Q: Given: Let U- (1, 2, 3, 4, 5, 6, 7, 8, 9, 10 N - 16, 7, 8, 9) M = (4, 5, 6, 8) P (1, 2, 3, 4) Find:…

A: Universal set: We consider all the sets to be the subsets of a given fixed set known as the…

Q: . If n(A) = 30, n(B) = 40, and n(A ∪ B) = 45,find n(A ∩ B).

A:

Q: Let a = (2, 4, 6) and b = (4, 2, 4). - (å – 6) × (å + 6)

A: Given: a→=2i^+4j^-6k^ b→=4i^+2j^+4k^ a→-b→=2i^+4j^-6k^-4i^+2j^+4k^          =-2i^+2j^-10k^…

Q: 2. Let, A = { 1,2,3,4 }, B = { a,b,c,d }, C = { x,y,z }, R= { (1,a),(2,d),(3,d),(3,b),(3,d) },S = {…

A:

Q: U = {1, 2, 3, 4, 5, 6, 7, 8} A = {2, 4, 6} B = {1, 2, 5, 6} C = {2, 3, 4, 5, 8} Find the…

A:

Q: Let A {1, {2}, 3, {4,5}} and B = {{4,5}}- Then Bc A True False

A:

Q: Let A %3D {1,2,3, 4}, В %3D {3,4, 5},С %3D {а, b, с}. Find A n B, A x С, В х С, (АnВ) х ( (Ах С)n (В…

A:

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

A:

Q: Let A = {1, 2, 3, 4, 5} and R = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 2), (2, 3), (2, 4), (2,…

A:

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”.