Is the set O of all odd counting numbers (1, 3, 5… ) closed for multiplication? Why or why not?

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 subsets are there of {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}? How many of these subsets are proper?

A: Let the given set is A, having elements as

Q: let S = { 1,2,3,4,5,6,7,8,9,10,11,12,13}  HOW MANY SUBSETS ARE THERE TOTAL how many subsets have…

A: This is a counting problem.

Q: Suppose that in a class, there are n many boys and n many girls. Among these 2n many people, we will…

A: Let A be a set of n elements. To select r objects from a collection of n elements in the set A…

Q: I have 8 different rings that I wear. How many different groups of 3 rings do I have to choose from?

A: the question is choosing 3 out of 8 and order doesn't matter So we going to use combination a…

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

A:

Q: Let S be a set containing 700 elements. which is greater, the number of subsets of S having 400…

A: Let S be a set containing 700 elements. We have to justify, Which is greater, the number of subsets…

Q: The set of elements in (-, 9) or (-, 12) or in both sets is .

A: The sets are (-∞,9) , (-∞,12)

Q: Suppose a set of 8 numbers are selected from the set: {1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}…

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

A: The different groups that can be formed by choosing r  things from a given set of n different thing…

Q: Show that the set {2/3,1/3,2/9,1/6...} is countable

A: Given set of numbers{2/3, 1/3, 2/9, 1/6...}. Here, this set of rational numbers will be proved as…

Q: If a set contains 4 elements then its power set will contain?

A: Here  Set Contains 4 Elements So For n elements  It's Number of powerset =(2^n)

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: How many ways are there to select three unordered elements from a set with five elements when…

A: Given: Number of elements = 5 Number of unordered elements = 3 If repetition is allowed,…

Q: Show that if seven integers are selected from {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, there must be…

A:

Q: Give two reasons why the set of odd integers under addition is not agroup.

A:

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

A: We ahave to find no. Of subsets.

Q: Is {1, 3, 5} a subset of the set of odd integers?

A: {1, 3, 5}

Q: How many subsets does the set  L = {3, 4, 5, 6} have?

A: Given, L = {3, 4, 5, 6}  No of elements in set L (n) = 4

Q: Specify the sets by roster. (a) {Counting numbers containing only 2s} (Enter only the first four…

A: Given that the counting numbers.

Q: How many ways are there to select a set of 4 U.S. s

A: A combination is a mathematical technique that determines the number of possible arrangements in a…

Q: What is the minimum number of cards that must be drawn from an ordinary deck of cards (52) to…

A: Given problem Given that   The minimum number of cards that must be drawn from a ordinary deck of…

Q: Consider lists made from L, a, T, e, X, with repetitions allowed. How many 4-lists are there in…

A: Please refer to the image below.

Q: Let S={1,2,3,4,5,6,7,8,9,10,11}   How many subsets contain at least one odd number?

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Q: Use pigeonhole principle 1. How many numbers must be selected from the set {1, 3, 5, 7, 9, 11, 13,…

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Q: Consider 4 digit numbers with each digit from the set {1,2,3,4,5,6,7,8,9} a) How many such numbers…

A: Solution

Q: { n ∣ n ∈ N and 405 < n ≤ 437} H has --------  subsets. H has--------  proper subse

A: It is given that ,  H=n|n ∈N and 405 &lt; n ≤437we have to find , H has ................. subsets.H…

Q: 20 The set [20] contains = = 15504 five-element subsets. How many of them contain more odd elements…

A: There are 15504 five element subsets. The set of 20 numbers contains 10 odd and 10 even numbers. If…

Q: Show that the set {2/3, 1/3, 2/9, 1/6,...} is countable

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Q: How many distinct proper subsets are there of the set N = {9, 41, 68, 17, 33, 54}?

A: Number of the proper set = 2n -1

Q: Using the pigeonhole principle How many numbers must be selected from the set {1, 3, 5, 7, 9, 11,…

A:

Q: Suppose that there are 27 students in discrete mathematics class. Show that the class must have at…

A: Here we solve this question by contradiction.

Q: How many subsets is obtained from a set with 5 elements?

A: Given n=5

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: How many four​-digit numbers may be formed using elements from the set {1, 2, 3, 4, 5, 6, 7} if no…

A:

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

A: Given set  containing 3 element

Q: How many ways are there to select three unordered elements from a set with five elements when…

A:

Q: How many distinct proper subsets are there of the set N = {7, 44, 68, 19, 32, 54, 25}?

A: This question is about set theory

Q: Show that the set of odd numbers is countable.

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Q: Suppose P is the set of numbers that are divisible by 5 and Q is the set of numbers divisible by 10.…

A: To decide whether P is a subset of Q or the other way

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: What is the intersection of (a) the sets {0, 1, 3} and {1, 2, 3}; (b) the set of girls in this class…

A: Given information Part (A):- The intersection of sets {0, 1, 3} and {1, 2, 3}. Take A=0, 1, 3,…

Q: Find the number of subsets of the set (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} having 4 elements. * 340…

A: Find the number of subsets of the set 1,2,3,4,5,6,7,8,9,10,11 having 4 elements

Q: How many distinct proper subsets are there of the set N = {4, 49, 63, 12, 36, 55}?

A: A proper subset is subset which is not the whole set itself.    There are 2n subsets of a set where…

Q: what are infinite subsets?

A: First understand, what is an infinite set?