t) Universal set = {People} = {Drivers on the road with insurance} {Drivers on the road} O Universal set = {Natural Numbers} {Even natural numbers less than 20} {Natural numbers divisible by 3 and less than 20} Universal set {People} {Elementary school students} {Professional Basketball players}

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

A:

Q: How many distinct proper subsets are there of the set N = {9, 46, 69, 18}?

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Q: 37 How can we use product rule to count number of subsets of a finite set ‘A’?

A: 37 How can we use product rule to count number of subsets of a finite set ‘A’?

Q: 15. Identify the type of set (Finite, Infinite, Empty): a. "The Intersection of Even Numbers and…

A: Dear student,                     According to our guidelines we are supposed to answer only first…

Q: Suppose the universal set is the set of natural numbers N. Consider the sets A = {1,2, 3, 4, 5, 6}…

A: We will answer the first three questions as per our guideline. Please resubmit the other questions…

Q: Prove that the union of countable set is countable

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Q: Using Pigeonhole principle to prove, if there exists 6 integers (between 1 and 10) in set S, then…

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Q: Two-digit natural numbers are formed, with replacement, from the digits 0 through 9. How many…

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Q: b) Suppose we randomly select a subset of integers from the set {18, 19, 20, 21, 22, 23, . ,717}.…

A: This is an interesting question but before the solution i want to tell about the subset of a set "…

Q: A combination is a selectio objects from а. n objects

A: Combination is a technique which represents the number of possible outcomes from n objects

Q: Determine if each set countable or uncountable. Show a proof or argument to justify your decision…

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Q: How many elements does the set A={x∣x is a natural number and x<17} have

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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: Can you show me how Georg Cantor proves that the set of algebraic numbers is a countable set? thank…

A:

Q: If a set has 8 elements, how many of its subsets have the given   numbers of elements?   (1) at…

A: Given that the total number of elements= 8  So the total number of subsets= 28=256   We can select…

Q: 1. State whether each set is finite or infinite. alodwy a. Y (Odd numbers) b. A (Prime numbers less…

A: NOTE:- We are entitled to solve the first question, unless stated. Finite set is a set having…

Q: Consider the set of whole numbers from 1 to 10, inclusive. List the numbers that meet the condition:…

A: Given set is {1,2,3,4,5,6,7,8,9,10}

Q: Assume that there are 55 students: 28 who enjoy tennis, and 14 who enjoy neither tennis nor…

A:

Q: 1. The set of counting numbers greater than -1 and less than 9 2. The set of integers satisfying X -…

A: Roster method is to express the set in terms of flower brackets, for example to write the set of…

Q: Let N= {1, 2, 3, 4, .} be the set of natural numbers and S= (1, 4, 9, 16, ...} be the set of squares…

A:

Q: 6. Identify whether the following are finite or infinite sets. a. The sets of first 50 natural…

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Q: Let X be the set comprising all numbers of the following two types: • Natural numbers; • Natural…

A: From (i) &amp; (ii), we conclude that the function f is well defined.

Q: Assume that A={A,B,C} and B={5,4,1,9,6} A code consists of 2 different symbols selected from X…

A: Given: Assuming X={A,B,C} and Y={5,4,1,9,6}. A code consists of 2 different symbols selected from X…

Q: If A (5, 7, 8, 9}, B = {3, 4, 5, 6} and C = {2, 4, 6, 8, 10}; where n is total number of distinct…

A:

Q: ct proper subsets are there of the set N = {3, 43}?

A: The number of elements in the set are 2 ( which are 3, 43)

Q: Let A = {3, 9, 1, 8, 2, 6} B = {5, 9, 8, 7} and U be the universal set of natural numbers less than…

A: Explanation of the solution is given below...

Q: Show that given any set of 5 natural numbers, there are 3 numbers whose sum is divisible by 3.

A: Let q∈N. Note that, for every q there exists some x∈N and some v∈0,1,2 such that q=3x+v. Now, let…

Q: Given a universal set containing integers from 0 to 21. Set B contains odd numbers while set A…

A: Given: Given a universal set containing integers from 0 to 21. Set B contains odd numbers while set…

Q: 36. Let the universal set U = {r |x is a non-negative integer}. Let A = {r EU|x is divisible by 6},…

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

Q: What is the set N of all natural numbers?

A: Set of all integers: ℤ={.......,-3,-2,-1,0,1,2,3.......} Set of all positive integers…

Q: state which of the following sets is finite or null (empty) a) the set of persons who have…

A: By the definition  we know, A finite set is one which has a definite number of elements.  An…

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: 1. How many ways can you choose 4 numbers from the set p = {4, 6, 8, 10, 12} or 3 numbers from the…

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Q: A set contains nine elements a) How many subsets does it have? b) How many proper subsets does it…

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Q: Find the complement of the set given that U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. (Enter your…

A: First we find the roster form of the set: The set of odd natural numbers less than 10 = { 1,3,5,7,9}…

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

A: Given set  containing 3 element

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: Set A contains 6 elements, set B contains 12 elements, and 4 elements are common to sets A and B.…

A: Set A contains 6 elements, set B contains 12 elements, and 4 elements are common to sets A and B.…

Q: 11. Use set-builder notation to represent X, the set of all whole numbers greater than 20. X-(x/x is…

A: The set builder notation of the set of all whole numbers greater than 20 is,

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: Let A denote the set of all 4 digit numbers that are divisible by 3, and B denote the set of all 4…

A: Given, A denotes the set of all 4 digit numbers that are divisible by 3 B denote the set of all 4…

Q: 4. How many positive natural numbers less than 1000 are neither divisible by 3 nor 5 nor 7 nor 11.

A: Let U={1,2,3,...1000} n(U)=1000 A={a∈U/ x is divisible by 3}A={3,6,9. . .…

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: 1.Consider the following sets, A=The set of odd numbers from 0 to 12. B-The set of letters in the…

A: