Use property of betweenness. Given A*B*C and A*C*D, prove A*B*D.

Q: B. Evaluate each. 1. C(8,4) 5. C(8,4) C(7,5) 22. C(5,0) 3. C(4,4) 4. C(11,3) C(7,4) 6. C(8,2) C(6,2)…

A: As per the guideline I’m supposed to solve only three sub-parts of the given problems.As we know…

Q: Let A = {c, d, f, g} B = {f, j} C= { d, g} True or False: C C A? True False

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Q: needed. Use ascending order.) O B. Oc. 1 2 3 1 2 3 4 stribution from the boxplot.

A: (a) From the available information, The data is given as  The ascending order of the above data set…

Q: Define the sets A, B, C, and D as shown. Find A ∪ (B ∩ D

A: We have to define A, B, C and D first and then find the A∪B∩D. Assume  A=1,2,3,4,5,6,7 B=1,2,6,7,8,9…

Q: 1) Let A = {1,2,3,4,5} Determine whether the statements are true or false. a. 2ЄA b. A is a subset…

A: A = {1, 2, 3, 4, 5}a. 2  A   This means 2 is in the set A.    Obviously this is True. b. A is a…

Q: What is the intersection of sets A and B?

A: The intersection of sets is a set which include the common of the two sets A and B. It is…

Q: (An B) n(AUC) U 4 2 5 7 6 B 3 8

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Q: In topology, a coffee cup and a donut are both of genus

A: Genus is the number of holes of a surface.

Q: First Rubber Balls ina Box Setup STars s Siperloats Total Red 13 9 39 Blue 15 4. 30 Green 514 totel…

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Q: Let a, b, c, d E Z. Prove: If alb and c|d, then ac|bd.

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Q: If a, b, c are in HP. b, c, d are in G.P. And c, d, e are in A.P. show that e= ab? (2а- b)*

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Q: Select the law that establishes that the two sets below are equal: An (BUC) = An (BnC) De Morgan's…

A: De Morgan's Law: the complement of the union of two sets is the intersection of their complements…

Q: Use any method you choose to show that An (B UC) = A U B n C, when A, B, and C are sets.

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Q: 3 B 4 (A) A=7, B = 10, C = 12, D = 2 A=7, B = 10, C = 12, D = 4 8 10 B D

A: We need to find the logic to find the values

Q: what is the product of two sets? B.) What does this mean? Can you give an example?

A: Concept: In set theory product of two set A and B means cartesian product which is represented by…

Q: Let a, b, c E Z. Prove: If alb and b|c, then alc.

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Q: Disprove: For all sets A, B, C, and D, (AUC) × (BUD) C (A × B) U (C × D).

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Q: given: set A = {a,b,c,d} into set B = {1,2,3,4}. which set of ordered pairs represent a bijection?

A: Consider the set S={(a,1), (b,2), (c,3), (d,4)} Here each element of A has exactly one image in B…

Q: Find the Value of all variables below. Shapes are not drawr 6) 85 7) 97 115 10 67 125 145 8) 122 176…

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Q: 29. How many possible sets of four marbles are there?

A: There are 3 red, 2 green, 1 lavender, 2 yellow and 2 orange marbles. 4 marbles are to be chosen.

Q: Prove: Prove: If a b and ba, then a = b or a If a does not divide bc, then a does not divide b. b.

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Q: I indicates exercises that should be solved using technology Recall from Example 1 that whenever…

A: We have to find given prpbability.

Q: Tennis balls are often packed in cyindrical canisters. The diagram below shows three balls in a…

A: The question mentions that the balls fit snugly in the canister. Thus, the diameter of the ball is…

Q: 8low Mut a chhan s duj tubadh ree dettel a O Peve hnd he paset L={33, 4,62 uder olvisibilty is not a…

A: We use definition of distributive lattice to prove our statement.

Q: (P10 P40 P3 0 P2) n (P3 - P2) (P10 P40 P3) - (P10 P4) (P10 P3 N P4) - P1 (P10 P3 N P4) - (P4 U P3)…

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Q: Given= Prove ADABABCD BC A. B.

A: Given that AD≅BC AB≅DC To prove that  ∆DAB≅∆BCD

Q: 37. How many sets of five marbles include at least two red ones? ANSWER I 100

A: We have to find nom of combinations.

Q: Given: AD|| CE and BD = BC Prove: AABD EAEBC B 3,

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Q: a. What is P(A|B)? P(A and B)/P(B)=. b. What is P(B|A)? P(A and B)/P(A)= Are A and B independent? C.…

A: a) The required probability is calculated as follows: P(A|B) = P(A and B)/P(B)             =…

Q: "A or B" is shown on a Venn diagram by O the area where A and B overlap. O The area outside of A and…

A: A or B represents A U B in Venn diagram as shaded region in the figure below-

Q: Use the diagram shown. В C 主 G 丰 Which is a needed step to prove that AABF EAEDG

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Q: Which elements are in the set X = {u E Z |u s 4 or u 2 1}? Select one: a. {1,4} b. {2, 3} c. {1, 2,…

A: Given below the detailed solution

Q: Show khat the glosp brjections frem f5 faom f5 whan f rafiell iisomaphi- with

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Q: prove that B = C.

A: Representations  1) L ∩ M -> Intersection of L and M is the common part that is present in both L…