If A = (3,5), B= ( 1,2,4,5) and C = (1,2,3) then the cardinality of AXBXC is O 32 O 12 O 36 O 24

Q: 2. Let U = {0,1,2,3,4,5,6,7,8,9,10}; a) How many subsets will A have? b) List only the elements of…

A: As per our guidelines we can answer only 3 subparts of the given problem. So kindly repost the…

Q: Give the cardinality of the set. (If the set has cardinality ℵ0, enter ALEPH NULL.) {−995, −994, .…

A: This is a problem related to sets. Cardinality of the function is generally defined by number of…

Q: Show that the two given sets have equal cardinality by describing a bijection from one to the other.…

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Q: Given the following sets: A = {2, 3, 4}, B = [1, 5, 10}, C ={-1, 1, 2), D = {2, 5, 10} What is the…

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Q: 7. If any subset of size five is chosen from {1, -1, 2, -2, 3, -3, 6, -6}, then prove that each of…

A: Given: Sample space={1,-1,2,-2,3,-3,6,-6} Subset of size 5 is chosen from sample space.

Q: Find the cardinality of the following set. В %3D {3, 6, 9, 12, 15, 18, 21, 24}

A: Given,          B={3,6,9,12,15,18,21,24}We know that,         The cardinality of a set is the number…

Q: Let: A = {2, 4, 8} B= {1,2,3} C = {0, 1} What is the cardinality of: A x Bx C

A: Given:- A={2, 4,8} , B = {1,2,3} , C = {0, 1}  To find:- AxBxC

Q: Suppose set A = {green, blue, red, black, orange} and set B = {gray, purple, blue, orange, white}…

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Q: How many subsets of {0, 1, ...,9} have cardinality 5 or more?

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Q: Let S={1,2,3,4,5,6,7} How many subsets are there of cardinality 5?    (Note: you can enter “C(n,k)”…

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Q: What is the cardinality of the set {x€Z: |3x- 4| s6} O don't know (This answer gets 3 of 10 points)…

A: For the given inequality get inequality for x:  3x-4≤6-6≤3x-4≤6-2≤3x≤10-23≤x≤103-0.667≤x≤3.333

Q: Let be a set with , elements. Then the cardinality of the power set of A is OA 2n -1. B. 3"- O…

A: This is very complicated problem.We have to think deeply to solve this problem.Terefore I can solve…

Q: (a) Suppose that we choose three subsets of M such that each of them con- tains 100 elements, the…

A: Let the three subsets be A, B and C  nA∪B∪C=nA+nB+nC-nA∩B-nB∩C-nA∩C+nA∩B∩C Substitute the values…

Q: 24) 100 people are surveyed, obtaining the following information: -Every respondent who owns a car…

A: Given that the total number of respondents is 100. There are 54 male respondents. The number of male…

Q: Suppose S and T are infinite sets and o :s-T is afunction that is not onto May we conclude that S…

A: Given statement is false We show that by taking counterexample

Q: 3. Determine the following cardinalities. (a) A = {1,2, {3, 4, 5}} |A| =. (b) B = {{1,2,3, 4, 5}}…

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Q: If any subset of size five is chosen from {1, -1, 2, -2, 4, -4, 8, -8), then prove that each of the…

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Q: If A={4,5,6}, find its power set P(A). What is the cardinality of this power set?

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Q: 8) What is the cardinality of AU B? A) 4 B) 3

A: Given a six-sided die is tossed. A is event of getting a factor of 4 and B is event of getting an…

Q: We form the union of a set with 5 elements and a set with 9 elements. Which of the following numbers…

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Q: Find the cardinality of the following sets. 13. C = {1, 5, 4, 11, 13} 14. D = {0} 15. E = ∅

A: The cardinality of a set is a measure of a set's size, meaning the number of elements in the set.…

Q: If a is an infnite cardinal number and a ⩽ bc, prove that a ⩽ b or a ⩽ c

A: Image is attached with detailed.

Q: 1. Let S = {1,2, 3, 4, 5, 6}. Find the following. a. Number of subsets of S of cardinality 5 and…

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Q: The Venn diagram here shows the cardinality of each set. Use th set. 8 3 11

A: Given information: The Venn diagram showing the three sets (A, B, and C) and their cardinality are…

Q: find the cardinalty of the following set {3.6.9.12.......414{

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Q: Show that the given set has a cardinality of No by establishing a one-to-one correspondence between…

A: Here the function is  f(n) = -6n-6  Consider two points n1, n2,  f(n1) = f(n2) should imply n1 = n2

Q: An infinite cardinal number a is said to be dominant if it satisfies the following condition: if b…

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Q: 6. Show that A = {-11,-10,–9,...,9,10, 11} has cardinality 23.

A: Set theory is a branch of mathematics in which we deal with collection of well defined objects.…

Q: 1. Express the set {x|x is a natural number and 15< x s 23} and give its cardinality (Cardinality is…

A: The given set is: S= x | x is a natural number and 15&lt;x≤23

Q: 2. Let A = {1, 2, 3, 4, 5, 6} and B= {2, 4, 6, 8}. What is the cardinality of B? A U B, A N B?

A: Given that  A={1, 2,3,4,5,6} and B={2, 4,6,8}

Q: 19. What is the cardinality of each of these sets? b) {{a}} d) {a, {a}, {a, {a}}} a) {a} c) {a, {a}}

A: Given the set a). {a} b). {{a}} c). {a,{a}} d). {a,{a},{a,{a},{a,{a}}} We find the cardinality of…

Q: Give the cardinality of the set. (If the set has cardinality ℵ0, enter ALEPH NULL.) {1/2, 1/3, 1/4,…

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Q: Given A={2,4,6,8} and B={1,3,5,6}. What is the cardinality of the union of set A and B?

A: Number of element in A union B is 7. Actually in sets we are not writing same element in twice.

Q: Give the cardinality of the set. (If the set has cardinality ℵ0, enter ALEPH NULL.) {16, 20, 24, .…

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Q: III. Enumerate the elements of the following. Moreover, determine the cardinality of each set. 7.…

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Q: List the elements of P and find its cardinality, where P = {y € N | 9 < y < 20}

A: Given P = y∈N | 9≤y≤20 Therefore P = 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20

Q: need answer of this question. 7.  How many subsets of {0, 1, . . . , 9} have cardinality 6 or more?

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Q: Give the cardinality of the set. (If the set has cardinality 80, enter ALEPH NULL.) {12, 16, 20, ..…

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Q: how many subsets of {0,1 ....,9} have cardinality 4 or more?

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Q: a) Find the cardinal number of the set of letters in the word "MALAYALAM" b) If A = {5, 7, 8,…

A: Cardinal number of a set A is the number of elements of the set A.

Q: 5. Prove that if ac < b°, then a <b where a, b, c are car din al numbers.

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Q: If set H is the set of letters in the phrase "HONOR AND EXCELLENCE" then the cardinality of H is:

A: H = set of letters in the phrase "HONOR AND EXCELLENCE" by definition of set, A set is a collection…

Q: prove that (1, 6) 13 an o pen set 13 an open çet.

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Q: Let A = {2, 3, 4, a, b, t}, B= {4,2, 3, 6, t, c}. Then the cardinality |AN B|is %3D Select one: O 6…

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Q: What is the cardinality of the set of integers X defined below? X={n| 1<n<12 n is not divisible by…

A: Introduction :

Q: State the cardinality of -1,-2, 3,6,7, 12

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Q: If the cardinality of a set A is 4 and that of a set B is 3, then what is the cardinality of the set…

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Q: Given that |A| = 10 and |AUB| = 24 and |ANB|=7, determine the cardinality of B.

A: We are given that : A=10A∪B=24A∩B=7 Now, we have :A∪B=A+B-A∩B⇒24=10+B-7⇒24-10+7=B⇒21=B⇒B=21⇒Number…

Q: How many subsets of {0,1,…,9} have cardinality 5 or more?

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Q: 6. Show that A = {-11,–10,–9,...,9,10, 18} has cardinality 30. %3!

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