Find the number of elements of the set {n]n € Z,1

Q: urn contains m number of red balls and n number of white balls. Two balls are selected without…

A: Given: n(red) = m n(white) = n Total number of balls = m+n P(first ball is red) = P(2 red) + P(1st…

Q: How many outfits can be made from 4 pairs of slacks, 5 shirts, and 3 ties, if one selection from…

A: First decide on a pair of slacks.For that there are 4 different choices.Now for each of those…

Q: If x , y and z are real numbers, find the relative roundoff error in computing the sum x + y + z on…

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Q: In the following, state whether A = B or not:(i) A = { a, b, c, d } B = { d, c, b, a }(ii) A = { 4,…

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Q: 97 Show thet the senas- + a+/ (uhese conveages if B>« and diverges if B0, B>0)

A: Find the convergence and divergence of the given series           1+α+1β+1+α+12α+1β+12β+1+....

Q: Find the sum of n terms of an AP whose nth term is given by an=5-6n

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Q: Consider the case where the predetermined average number of bus arrivals at the Cubao Station is 6…

A: Given: Average number of buses arrivals at the Cubao station is 6 per 15 minute period.

Q: a. Place the digits 7, 6, 8, and 3 in the boxes to obtain the greatest product. b. Place the digits…

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Q: artition N into 8 countably infinite sets

A: We have to partition N (set of natural numbers) into countably infinite sets.A partition of a set is…

Q: The sum of the first n natural numbers, S = 1 + 2 + 3 + first n natural numbers is 171, determine…

A: Consider the given information:

Q: Find the number of permutations using four different numbers (2,5,11,30) if they are taken 2 at a…

A: Given that, Four different numbers are (2,5,11,30) To find: Number of permutations using four…

Q: Prove: If the sum of the digits of a number in base bis divisible by b 1, so is the number.

A: Given statement: Sum of digits of any number (x) in any base b is divisible by b-1. To prove: The…

Q: List all the partitions of B = {a, b, c, d}.

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Q: There are 30 sutdents in a class. Of the class 2/6 of the students bring have 1pet 1/6 of the…

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Q: Find the number of arrangements of the letters in the word EMERGE in which (a) all the 3 letters E…

A: Given word is EMERGEletter E is repeated 3 times total no.of letters in the word  EMERGE  =6

Q: Find all subsets of {{a}, {a,b},{4}}.

A: Topic- Subsets of a set We are given a set a,a,b,∅

Q: An inventory consists of a list of 80 items, each marked "available" or "unavailable." There are 50…

A: Given: Number of items listed is 80, each marked as available or unavailable. There are 50 available…

Q: Prove the statement that "The sum of three consecutive integer numbers is odd if and only if the…

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Q: What is the minimum number of students required in a Mathematics class test to be sure that at least…

A: We need to use the pigeonhole principle.  We need to find the minimum number of students that are…

Q: DVD cases are sold in packages of 20. Padded mailing envelopes are sold in packages of 12. What is…

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Q: Let Then where a11 = , a31 = , a12 = -1/9 , a32 = 1/9 1 +-679 A = 1 1 A-¹ = , a13 = 0 a11 a12 a13…

A: a11​=11782​ a12​=117−28​ a13​=11763​ a21​=1175​ a22​=117−4​ a23​=117−9​ a31​=117−13​ a32​=11713​…

Q: Suppose I choose two numbers from the set {1, 2, 3,… 100}. How many have an even sum? Show all work.

A: Introduction: There are total 100 numbers between 1 and 100. Out of these, 50 numbers are odd: 1, 3,…

Q: Let A=[-1,7[,8={-1,3.10,12} and C={7}. Then (A-B) UC=

A: Given that A={-1,7} B={3,7,10,13} C={7}

Q: four largest 4-combinations o

A: Given: The set {1, 2, 3, 4, 5, 6, 7, 8} after {1, 2, 3, 5}. To find: The next four largest…

Q: sum as a product of two numbers: 4+11+18+25+32+39

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Q: Tennis balls are randomly toss into one of five trays. Determine the number of balls needed to…

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Q: 9) The dimensions of a gift box are consecutive positive integers such that the height is the least…

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Q: A certain discrete mathematics class consists of 3131 students. Of these, 1414 plan to major in…

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Q: sume that you have 9 mice in the cage: 3 white males, 3 gray females, and 3 gray males. Two se are…

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Q: Select each expression that has a sum of 4 4/12 3 1/5 + 1 3/7 1 11/12 + 2 1/4 1 3/6 + 1 1/2 + 1…

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Q: A course has 30 students and four possible letter grades A, B, C, D. What is the maximum number of…

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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”.