Compute A∪B, A∩B, B\C, and (A∩B)\C where A={2,3,5,7,11,13}, B={2,3,4,5,6,7,8,9,10,11,12}, and C={n∈N | (2|n) ∧ (3|n)}.

Q: 1. Evaluate C(15,10)* 3003 2003 1003

A: It can be easily solved by using combination

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

A: We will solve the following

Q: 5. Let u = {1, 2,3, 4, 5, , 15} A = { 1, 2, 3, 4, 5 } B = { 1, 3, 5, 7, , 15 } .. Find (An B' )'

A: Given that,

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: 4- Suppose that A = {x1 = (2,0,1), x2 = (1,–1,4), x3 = (-1,–2,1)} and B = {y, = (-1,0,2), y2 %3D %3D…

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Q: Answer the question. Is f continuous at x = 4? -2<x s0 f(x)-. -4x, O sx<2 17. 2<x s4 x-2 O Yes O No

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Q: If a(3, 4) – b(2, 4) = (8, 10), determine a and b.

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Q: Let A, = {..., – 2, – 1,0,1,..., i}. Find ỦA, i31

A: First we find A1, A2, A3,...An, then find union as in next step.

Q: Human blood can contain the A antigen, the B antigen, both the A and B antigens, or neither antigen.…

A: The given samples and the antigen in the blood.# of samplesAntigen in Blood1893013211186AA and BBB…

Q: Then where a11 a31 - 1 1 a32 = a12 || 1 a33 || a13 A = A-1 - 1 1 7 0 7 7 -9 8 a11 a12 a21 a22 a31…

A: Let A be a square matrix. Then the matrix A-1 are the cofactor matrix divided by det A

Q: 6. Show that for n attributes A, A2, A3, ..., An (A, Az Az ... A, ) > ( A, ) + ( A2 )-(A3) + ... + (…

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Q: 5. Given R ={(1,1), (1, 3), (2, 1), (2,2), (2, 3), (3, 1)} on {1,2,3,4}. Thus, R is reflexive. A.…

A: Given problem :- Given R = {(1,1), (1, 3), (2, 1), (2,2), (2, 3), (3, 1)) on {1,2,3,4). Thus, R is…

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

A: Universal set: The set containing all the elements of the related set without the repetition of…

Q: 18

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Q: If x[n]= {2,0,3,4}, x[(n-2),]= O a. {3,4,2,0} O b. {3,0,2,4} c. (2,4,3,0} O C.

A: The sequence is xn=2, 0, 3, 4. Then,  x0=2x1=0x2=3x3=4 Now, consider the sequence xn-24. Then, we…

Q: Let S = (a, b, c, d, e, f with P(b) = 0.16, P(c) = 0.12, P(d) = 0.29, P(e) = 0.22, and P(f) = 0.11.…

A: Given S = { a, b, c, d , e , f } P( b ) = 0.16P( c ) = 0.12 P( d ) = 0.29 P( e ) = 0.22 P( f ) =…

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…

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Q: A box contains four red balls, two blue balls, and one green ball. Suppose a ball is drawn from the…

A: Given that the box contains four red balls, two blue balls and one green ball. That is, the total…

Q: compute AB

A: Given,A=314-201122 and B=102-3112-41

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 = {…

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Q: The Human Resources office in a company observes the pattern of absences of employees by days of the…

A: Given: The company has 100 employees and over 10 weeks (5000 employee appearances) they notice that…

Q: Let A; = [i, i + 1], i = 1,2, 3, 4,... Then A n A2 N A3n A4 is O A. {1} O B. { } O C. [1,5] O D.…

A: We have Ai = i, i+1 and i = 1, 2, 3, 4 (we need to consider only up to 4 since we have up to A4…

Q: Let S = {a, b, c, d, e, f} with P(b) = 0.21, P(c) = 0.25, P(d) = 0.2, P(e) = 0.1, and P(f) = 0.11.…

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Q: Let A = {1,2,3} and B = {2,7,9}. Then (ANB)UA = %3D None of the these O ANB O B O A

A: Here two sets are given, we have to find the equivalent expression for the given expression in the…

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…

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Q: B = {98, -42, 1, 56, 82, 607, 741, 87, -475, 80} C = {0, 475, 485, 87, 9, -412, 90, 651, 584, 89} D…

A: We have given that  Set of A,  B,  C, D, E I want to find union and intersection.

Q: Determine the non-permissible value(s) for 3x+2x² x² - 6x

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Q: Let A={2,y,z} and B={3,x,z}. How many distinct elements are in (A×B)∩(B×A)

A: Given, A={2,y,z} B={3,x,z} How many distinct elements are in (A×B)∩(B×A) ?

Q: c. Let o, = (2 5 3 6) and o, = (1 4 6 5 7) be two permutations of S,. Find (0,02)¯1.

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Q: Let S = {a, b, c, d, e, f} with P(a) = 0.14, P(b) = 0.24, P(c) = 0.21, P(d) = 0.15, P(e) = 0.13, and…

A: From given we have : S = {a, b, c, d, e, f} P(a) = 0.14 P(b) = 0.24 P(c) = 0.21 P(d) = 0.15 P(e) =…

Q: A. A company manufactures three goods, X; Y and Z, each of which is made from three types of input,…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: Let S = {a, b, c, d, e, f} with P(b) = 0.15, P(c) = 0.16, P(d) = 0.17, P(e) = 0.23, and P(f) = 0.18.…

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Q: Let S = {a, b, c, d, e, f} with P(b) = 0.13, P(c) = 0.19, P(d) = 0.3, P(e) = 0.12, and P(f) = 0.15.…

A: P(a) = 1 - {P(b)+P(c)+P(d)+P(e)+P(f)} = 1 - (0.13+0.19+0.3+0.12+0.15) = 1 - 0.89 = 0.11 So, P(a) =…

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} the A' - B' =

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