For the set {a,b,c,d}, list  a) all the arrangements of 2 objects.  b) all the subsets of 2 objects.

Q: How many unordered selections of three elements can be made from the set {a, b, c, d, e, f}?

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Q: An architect designing a parking lot has a row 62.0 m wide to divide into spaces for compact cars…

A: We need to formulate a system of linear equations using the scenario. We also need to solve the…

Q: Use double set inclusion to prove that dep. PANB) = P(A)n P(B).

A: The problem is related with power set P of sets. Here, we have to show that P A ∩ B = P A ∩ PB using…

Q: Determine the number of subsets for the set T = {a, b, c}

A: topic- number of subsets number of subsets of set with n elements are 2n

Q: List all the ordered arrangements of 4 objects 1, 2, 3, and 4 choosing 3 at a time without…

A: 4 objects are 1,2,3,4 If we have to choose 3 out of 4 (without repetition) Then, First object can be…

Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

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Q: 20

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Q: Write out the indicated sets by listing their elements between braces

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Q: .State all the subsets that apply to /2. Include an explanation supporting why v2 belongs in each…

A: Consider the given expression, 2 the value of the given expression will be, 2=1.4142135624 it can be…

Q: For the set B = {a,b, c, d, e} list all of the subsets having exactly two elements. O{b, c, d} O{a,…

A: We need to select the subsets of the set B={a, b, c, d, e} having exactly two elements (cardinality…

Q: How many arrangements are there?

A: Solution:

Q: The set of numbers in the form , where a and b belong to the set in Exercise 8 and b # 0, is called…

A: Rational numbers are represented in the form of pq where q≠0.

Q: Find the dimension of the set S= {(2, 4), (4, 8)}?

A: The dimension of the set S can be find out by finding the linearly independent vectors in it.…

Q: How may elements are in the set [-2, 2] \N?

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Q: Use the roster method to list the elements in the set: {x|x is a whole number less than 4}.

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Q: Is there a formula to find the number of partitions in a set with n-elements?

A: Bell numbers, Bn, gives the number of partitions of a set with n elements It counts the number of…

Q: Calculate the number of subsets and the number of proper subsets for the given set. {x|x€N and…

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Q: How many unordered sets are possible that contain three objects chosen from seven?

A: Number of unordered sets that contain three objects chosen from seven = 7C3

Q: 2- consider the set of all finite subsets of N, is this set countable or not, prove it?

A: Consider the set of all finite subsets of N, is this set countable or not, to prove it.

Q: Show that the countable collection B = {(a,b) × (c, d)| a <b and c< d,

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Q: The gift wrap desk at a large dept. store offers 5 box sizes, 10 wrapping papers, 7 colors of ribbon…

A: To calculate the total number of options for the customer at the gift wrapping counter

Q: The number of subsets of size r that can be formed from a set with n elements is denoted: O (?) O…

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Q: A universal set U with 117 elements has been partitioned into three subsets, A, B, and C. If B is 2…

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Q: How many unordered sets are there of two items chosen from four? sets

A: To Find: How many unordered sets are there of two items chosen from four? Concept: Crn=n!r!n-r!

Q: How many subsets are there of the set N = {5, 42}?

A: We ahave to find no. Of subsets.

Q: Describe the set {TER²: doo (r,(0,0)) = 1}.

A: Given: Set x∈R2:d∞(x,(0,0))=1 We have to describe the set.

Q: Let A and B be infinite sets that are uncountable. Do an and B have the same car finality as each…

A: Let A and B be infinite sets that are uncountable. Do A and B have the same cardinality as each…

Q: In a 5-element set, how many partitions can be formed?

A: The number of ways that a set can be partitioned is it's Bell Number  Let S(n, k) be total number of…

Q: Find the union of the sets. {e, m, p, t, y}∪∅

A: we have to find the union of the sets. e,m,p,t,y∪∅

Q: The intersection of sets K and L will

A: our objective is to find the intersection

Q: How many elements does the successor of a set with n elements have?

A: Successor of the set, A is formed by adding an element {A} to the set. So, successor of A will be A…

Q: Given two sets: A = {a, b} B = {b, c, d} Construct the disjoint union of A and B.

A: Procedure to find disjoint union of family of sets. Consider family of set is  Ai:i∈ℕ∪0 . Let A=⊔Ai…

Q: Identify the set shown below as finite or infinite, {10, 11, 12, ..., 40} ..... OInfinite O Finite

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Q: Find the number of relations from the set A {a, b, c} to the set B = {1,3}

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Q: How many subsets of a set with 64 elements have more than two elements

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Q: Select the regions that correspond to the set AN BNC°.

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Q: 5. Given sets A and B, define their symmetric difference as AAB = (A – B) U (B – A). Use the set…

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Q: Describe the set {TER²: doo (r,(0, 0)) = 1}.

A: To Describe: the set {x∈ℝ2: d∞(x,(0,0))=1}.

Q: 5. Given sets A and B, define their symmetric difference as AAB = (A – B) U (B – A). Use the set…

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Q: 3. Find the number of subsets for set containing 3 elements.

A: Given set  containing 3 element

Q: Are there sets A and B such that |A|=|B|,|A|=|B|, |A∪B|=10,|A∪B|=10, and |A∩B|=5?|A∩B|=5? Explain.

A: Given:A|=|B|, |A∪B|=10, and |A∩B|=5The Venn diagram is

Q: Given a set has m members, where m=15, how many proper subsets are there?

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Q: Which regions represent set ANC?

A: Here use basic of venn diagram  Here in venn diagram  there are 3 events A , B and C

Q: b) The number of elements of the set A = {{{Ø}}, {{Ø}} n {Ø}, {Ø} U {Ø, {Ø}}} equals

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Q: Let A={blue,orange,red,yellow,green} and B={silver,orange,blue,gold,yellow}. Which sets represents…

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Q: A universal set U with 17 elements has been partitioned into three subsets, A,B, and C. If B is 4…

A: A universal set U with 17 elements has been partitioned into three subsets, A,B, and C.

Q: Is the set named empty, finite, or infinite? a) N = {counting numbers} b) V {vowels} {points in the…

A: The empty set (or null set) is a set that has no members.   Finite sets are the sets having a…

Q: (1point) How many elements are in the union of four sets if each of the sets has 99 elements, each…

A: To find: The number of elements are in the union of four sets if each of the sets has 99 elements,…

Q: Find n(A) for the set. A = {300, 301, 302, ..., 3000} %3D

A: