a. With no restrictions b. If each couple is to sit together? c. If all the men sit together to the right of all the women?

Q: Refer to the following Venn diagram.   n[(A ∩ Bc) ∪ (Ac ∩ B)]=

A: The value of nA∩Bc∪Ac∩B is, nA∩Bc∪Ac∩B=nA∩Bc+nAc∩B=12+15=27

Q: For the three sets A, B, and C,  A-(BUC) will be equal to,

A:

Q: 2. Find sets A, B, C, D such that the sets (An B) U (C\ D), ((An B)U C) \ D, An(BU C) \ D, An(BU (C\…

A: Example of such set A,B,C,D are given below

Q: If p(A) =, p(B) = and p(A and B) =;, are A and B independent?

A: Given,P(A)=12P(B)=310P(A∩B)=45

Q: tells what to do wi In Out 15 10 50 1 30 20 mat in Out Out In 23 19 15 11 3

A: Analise the input and output 1) 5 times of 3 is 15 5 times of 10 is 50 5 times of 1 is 5 5 times of…

Q: Let A and B be sets. 1) If |A| = 10, |B| = 24, and |A n B| = 4, then |A U B| = || %3D 2) If |A U B|…

A:

Q: Find S, if aj = 20, d = -10, and n = 25.

A: first term a1 = 10 common difference d = -10 total number of terms n = 25

Q: If "C, = "C,, then n is equal to 4.

A:

Q: Show that if a < c< b, then fave (a, b) = () fave l(a, c) + C - a | favg [c, b]

A: Solution...

Q: If Ac B, then P(A) < P(B).

A:

Q: S. is Setl

A: A small block slides without friction down an inclined plane starting from rest. Let sn be the…

Q: If sets A and B are disjoint and |A|=7and |B|=8, what is |A∪B|+|A∩B|?

A: Here given that sets A and B are disjoint and A=7 and B=8 .We have to find A∪B+A∩B.

Q: If A, B,C, and D are sets, does it follow that (A ⊕ B) ⊕ (C ⊕ D) = (A ⊕ C) ⊕ (B ⊕ D)?

A: The symmetric difference between the set is associative and commutative. So, (A⊕B) ⊕C=A⊕(B⊕C)…

Q: I. Find the length of the following sets: 1. e((-0.1,1.5)) 2. P(R) 3. e((-∞,4]) 4. e((4,7) U…

A:

Q: Given that, for some a, b, c, d, e, ƒ, g, h, i, k € R, la b d e S = 3, e 19 h i

A:

Q: If n(A U B) = 21, n(A n B) = 16, and n(B) = 19, find n(A). n(A) =

A:

Q: If either A or B empty set then Ax B equal empty O A

A: The solution is given as

Q: Disprove by Contradiction If a,b,c ∈ ℕ, then at least one of a-b, a+c and b-c is even.

A:

Q: If P={a,d,e} , and R={ t,b,c} what is PUR

A:

Q: In a class of 25 students, 17 drink tea, 11 drink coffee and 5 students drink neither. a. Draw a…

A: We have to first draw the corresponding Venn Diagram.

Q: Create a Venn diagram on first impressions at school, at work, and at both school and work. What do…

A: Create a Venn diagram on first impression at school, at work, and at both school and work. What do…

Q: Given n(U)=70​, n(A)=29​, n(B)=21​, and n(A ∩ B) =4​,  find (A∪B)'

A:

Q: If n(A) = 42, n(B) = 15, and n(AN B) = 1, find n(A U B).

A:

Q: What is the size of the union of the sets A and B, if |A|=|B|=12 and |ATT B|=10?

A: The sets A and B,A=B=12 and A∩B=10

Q: Suppose that S = { x | x ∈ N , and 3 ≤ x ≤ 260 }  What is | S |

A:

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: In(a³b') (c) In(bc) - 3 1 а (d) (In…

A:

Q: Let a, b, c € Z. If c divides a+b, then e divides both a and b.

A:

Q: If Set A = {M,I,C,H,A,E,L} and Set B = {J,O,R,D,A,N}, what is A ⋃ B?

A:

Q: O Is the set S=\[1.2], [-4 2. abaris for R?.

A: We know dimension of ℝ2  is 2  this implies basis of ℝ2 contains two linearly independent vectors.…

Q: If A and B are any two sets and AUB = . A n B, then

A:

Q: A B

A:

Q: a. If Set A = {x| xeZ and x is last five digits of your MEC ID } and Set B = {x|x is the letters of…

A:

Q: If () ), then P(r, 2) = %3D O 240 O 320 O (120 V- O (16! V

A: Given data,xC10  =xC6P(x,2)=?

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

A: We apply the property of intersection

Q: 17. Draw a Venn diagram that illustrates the following relationship when S = {eBay, Google, Amazon,…

A: Given that S={eBay, google, amazon, OHaganbooks, hotmail} A={Amazon, hotmail} B={eBay, google,…

Q: If A NB + Ø , B nC +Ø ,A nC Ø , JANB| =x + 1 , |B n C| = x, |C – B| = 4 , |A – B| = 3,|B – (AUC) =…

A: Here we can use following formula from set theory to find elements in A, B and C that mean |A|, |B|…

Q: 2. If RS = 10 and RU = 9, find QS. R U

A:

Q: If n(A) = 62, n(B) = 19, and n(A ∩ B) = 4, find n(A ∪ B).

A:

Q: If P (A|B) = },P (A|B®) = }, ,and P (B) = then P (A) is equal to

A:

Q: For a, b, c, d e R, show the following. (a) If a >b and c> d, then a +c>b+d.

A:

Q: А — {а, с, е, һ, i, m} B = {a, b, d, f, h, j} |3| AUB = { } AN B = { (AN B)° = { }

A:

Q: The following Venn diagram represents D C B

A:

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: Monday Tuesday 8 2 6 7 1 Wednesday

A: Given the given diagram is

Q: Construct a Voronoi Diagram for two shops C(-3,3) and D(3,1) T 3 2 3 N | 2 ? 1 2 Add to Cart View…

A:

Q: Suppose P(A) = 5 and P(B) = 3 and A and B are independent. What is P(A and B)?

A: It is given that P(A)=0.5 and P(B)=0.3.

Q: the following set is known : A - (1,2,3,4,5} B = (4,5,7,8,9} Determine : ANB? P(A) ? A-B? JAX BỊ A~…

A: Given: A = {1,2,3,4,5}B = {4,5,7,8,9} Also, we know that U=universal set which contains all the…

Q: If P(A) = 0.6 and P(B) = 0.25, and P(A and B) = 0.3, determine P(A or B)

A: P (A or B ) = 0.55

Q: Does the set span R3?

A: s=310,0-11,12-1Let v1,v2,v3 in R3 , if span(v1,v2,v3)=R3 then v1,v2,v3 are linearly independent.Rank…