A set has 9 elements. How many subsets of S are there with at most 2 elements?

Q: How many distinct proper subsets are there of the set N = {6, 44, 62, 14, 40, 51, 23}?

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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: Assume that the set S has 7 elements. How many subsets of S have at most 3 elements?

A: Given information- We have given that the set S has 7 elements. We have to find the number of subset…

Q: Let S be a set with |S|=6 . In how many ways can we partition the set S into three non-empty parts?

A: Answer:   3   Here    |S| = 6 So there are total 11 possible partitions which are 6 5+1 4+2 3+3…

Q: If a given set has 15 elements how many of its subset have at most two elements

A: Given, No of elements=15  how many of its subset have at most two elements

Q: How many proper subsets does the set W, containing the days of the week, have? W={Monday, Tuesday,…

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Q: A restaurant offers a special pizza with any 5 toppings. If the restaurant has 13 toppings from…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: Consider all subsets of size four of the set (1,2,3...20) how many of these have a nonempty…

A: Solution :-

Q: Let U = {4, 5, 6, 7, 8, 9, 10}, and A = {4, 5, 6, 7}. List all the members of the given set.  Ā

A: Given , U = {4, 5, 6, 7, 8, 9, 10} A = {4, 5, 6, 7} Ā =?

Q: Consider a bag containing five red marbles, two green ones, one transparent one, five yellow ones,…

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Q: If set Z has 7 elements, how many subsets does it have?

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Q: Consider a bag containing four red marbles, two green ones, one transparent one, three yellow ones,…

A: Total number of marbles = 4+2+1+3+3 = 13

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: 2. If a set X has n elements, how many elements are in the power set P(X), we exclude the empty set…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Consider a bag containing four red marbles, three green ones, one transparent one, three yellow…

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Q: How many subsets with an odd number of elements does a set with 12 elements have?

A: Given that a set contains 12 elements. We need to calculate the total number of subset with an odd…

Q: Set C is a set of states in the United States whose names start with the letter H in roster form

A: In this question we have to write a set C in roster form which contains states of United Stated…

Q: Consider a bag containing four red marbles, three green ones, one transparent one, three yellow…

A: Given, four red marbles,three green ones, one transparent one, three yellow ones, and three orange…

Q: How many proper subsets does S = {A, B, C, D} have?

A: We can find the number of proper subsets as below using the required formula.

Q: exactly how many subsets does set B={1,2,3,4} have

A: The given set is

Q: 2. How many 3 element subsets of the set {a, b, c, d, e, f, g, h, i} contain no vowels?

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Q: A(n) _____ is a collection of items called elements

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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: Consider the set C={Ø,{Ø},{Ø,{Ø}}}. How many elements are there in the power set P(C)? *

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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: Does the set S = span M22?

A: The given set is S=1100, 0011, 1001, 0111. Note that the above set is linearly independent set.

Q: How many 4-permutations are there of a set of six objects?

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Q: How many subsets with an odd number of elements does a set with 10 elements have?

A: To find the total number of subsets with an odd number of elements of a set with 10 elements, first…

Q: Assume that the set S has 7 elements. How many subsets of S have at most 3 elements?

A: Consider that  the set S has 7 elements. The subsets can have 3 elements, 2 elements, 1 element, and…

Q: list out the elements of the set "The letters of the word Mississipi"

A: here, our aim is to find the elements of the set "list out the elements of the set "The letters of…

Q: Consider all subsets of size four of the set {1, 2, ..., 20}. How many of them have a nonempty…

A: Given: It is given that by considering that all the subsets of size four of the set{1,2,....20} The…

Q: If a set S has n > 3 elements, how many subsets of S have less than n – 1 elements?

A: Apply the simple logic of Permutation & Combination.

Q: How many subsets are there of the set A = {Lilliana, Alyvia, Leanne, Imani, Kaleigh}?

A: Given set A = {Lilliana, Alyvia, Leanne, Imani, Kaleigh}

Q: Consider a bag containing four red marbles, three green ones, one transparent one, four yellow ones,…

A: Given:  4 Red Marbles 3 Green Marbles 1 Transparent Marbles 4 Yellow Marble 3 Orange Marble  To…

Q: A product code consists of a string of 4 different letters selected from the set {S,T,U,V,W,X}. How…

A: The number of ways to arrange r objects selected from n distinct objects is given by the permutation…

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

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

A: To find unordered sets of two items chosen from eight. Number of unordered sets r chosen from n is…

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

A: We have to find number of unordered sets of two items chosen from four items.

Q: Let S := {l, a, t, e, r, a, l}. How many subsets does S have?

A: Given: S = {l, a, t, e, r, a, l} Here, number of elements is n = 7.

Q: How many elements are in the set {0, {0}}?

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Q: 15 Assume that set S has 11 elements. How many subsets of S have at most 2 elements?

A: Solution : A set S has 11 elements We want to find subset of S have at most 2 elements

Q: (a) How many 4-permutations are there of a set of five objects? (b) How many 2-permutations are…

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Q: Enumerate all the subsets of each of the following sets. A = {1, 2, 3, 4, 5, 6}

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Q: A restaurant offers a special pizza with any 5 toppings. If the restaurant has 10 topping from which…

A: this is a combination problemtotal number of topping=10number of topping can be chosen=5so number of…

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

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Q: If set K is such that n(K) = 3, then set K has 6 subsets

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Q: How many subsets are there of the set N = {1, 44, 65, 11, 39, 53, 26}?

A: Given,          The set is N=1, 44, 65, 11, 39, 53, 26We know that,          The number of subsets…

Q: Let A = {8, 9, 10, 11, 12, 14, 15, 16}. How many subsets does A have? How many proper subsets does…

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Q: How many subsets of a set with 50 elements have more than one element?

A: Introduction:  Here we need to find how number of subsets have more than 1 element. Given:…

Q: 10. If a set has 255 proper subsets, how many elements are there? Why?

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.