Let the set B={−23,−16,−7,−2,20,36,48,72}. How many ways are there to choose a positive or an odd number from B?

Q: List all the combinations of 5 objects a, b, c, d, and e taken 3 at a time. What is C(5, 3)?

A: We have to find all the combinations of 5 objects a, b, c, d and e taken 3 at a time. That is we…

Q: Consider the set: {-17, - 3, 0,0.75, V2, 7, V81}. List all numbers from the set that are a. natural…

A: Given set is: S=-17,-913,0,0.75,2,π,81 Therefore the set S is equivalent to:…

Q: 3. Let, a, 3, a2 = 4 and for n 2 3, a, =

A: In the given question, the solution of recurrence relation is used. Recurrence Relation A recurrence…

Q: Produce the least positive number that is divisible by​ 2, 3,​ 4, 5,​ 6, 7,​ 8, 9,​ 10, and 11.…

A: Given Produce the least positive number that is divisible 2, 3,​ 4, 5,​ 6, 7,​ 8, 9,​ 10, 11.…

Q: let A= {1,2}, B={2,4,6}, R: A? =B, then find R

A: By use of simple Relation Methodology

Q: What is 30% of 20

A: 30% of 20.

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A: Given that: 3 boys and 3 boys are at a party.

Q: Given the set {-2, 0, -1.5, 112, -3, 11, v2 , list the num- bers in this set that belong to the set…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Let S = {1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} a. How many subsets are there total? 4096 b. How many…

A:

Q: In a certain men's tennis tournament, two finalists, A and B, are competing for the title, which…

A:

Q: Answer for Set B blank spaces. (From the word bank)

A:

Q: 4 people rent a house that has 4 bedrooms. How many ways are there to assign the bedrooms to the…

A: 4 people 4 bedroom

Q: How many 3-digit numbers can be forms from the four digits 0,1,2,3 if: a) no two digits are to be…

A: 1) a) No two digits are to be the same, that is there is no repetation. Do remember, we are making…

Q: d if -1<r e if r<1 ist the open sets in the quotient topolo

A:

Q: Using the digits 1, 2, and 3, how many two-digit numbers can be formed if repetition is not allowed?…

A: Given: Available digits are 1,2,3

Q: Find the number of elements of the set {n/n € Z,1 <n < 1000, 2 {n and 3 {n and 5 fn and 7 {n}.

A: By using set theoretic rules you can solve the given problem as follows :

Q: Answers must be in 4 decimals If S = {0,1,2,3,4,5,6,7,8,9} and A = {0,2,4,6,8}, B = {1,3,5,7,9}, C =…

A:

Q: (d) Given the word PERMISSION, in how many ways can all the letters be arranged if (ii) Number of…

A: (d) (ii) It is been asked to find the number of possible arrangement of all letters in word…

Q: Let R={numbers divisible by 2} Determine which of the following sets are subsets of R A. {1} B.…

A: It is given that R=number divisible by 2.

Q: For how many n ∈ {1, 2, 3, …, 1000} is n a multiple of one or more of 5, 6, or 7?

A:

Q: Find each set U={2,3,5,7,11,13,17,19} B={2} Find B'

A: Given:       Set U=2,3,5,7,11,13,17,19             B=2     B'=set of elements of U that are not in…

Q: Which set is equal to the set B={8,74,347,9,100}?

A: If two sets A and B are said to be equal then the number of elements in both set should be same.…

Q: In a party, we have  30  people who are tall  55 people who are basketball player 60 people  who are…

A: We are given the following. In a party, Number of tall people, |T| = 30, Number of basketball…

Q: Let ü = [-2, 1, 3] and v = [4, - 3, 1]. Determine: 4.

A:

Q: d) Let A be the set of integer multiples of 8 and let B be the set of odd integers. Is {A, B} a…

A: We have to solve above question

Q: let a, b, c, d, four consecutive positive numbers show that g.c.d (a, b, c, d)=1

A: Given :- a, b, c, d, four consecutive positive numbers. As a,b,c,d are consecutive positive numbers…

Q: In a party, we have  20  people who are tall  40 people who are basketball player 45 people  who…

A: We have to find given no. of people.

Q: Assume we have 23 coloured trousers and 12 coloured t-shirts. How many coloured suits (trousers +…

A: Here we have 23 colored trousers and 12 coloured t-shirts. And we have to find how many suits we can…

Q: Find 2 if ? = [3, 7, 15, 1] ?

A: Just observe the method carefully and you are done.

Q: Let A = {a,b,c,d,e} and let B= {1,2}. Determine n(AxB). n(AxB) =

A: SOLUTION-

Q: R = {(-4,3), (–3, – 1), (-4, – 5), (–1, 4)}| donti in

A: Given, R {(-4,3),(-3,-1),(-4,-5),(-1,-4)}

Q: Fill in the membership table for the set in the expression AN(B- A) = Ø and determine if the…

A:

Q: Given the following set of numbers, name the real numbers.   {−13, 0, 13, π, 3–√, 113}   Select…

A: The real numbers are the number which can be shown on the number line. Therefore, all the numbers…

Q: How many three digit passwords can be creating with the digits 1, 2, 3, 7, 8 and 9. O a 90 O b. 60…

A: Given digit  1,2,3,7,8,9 Number of digit =6

Q: Determine the mode of the set of values. (Enter your answers as a comma-separated list. If there is…

A:

Q: 1. Let S = {1,2,3,4,5,6} (a) How many subsets are there total? (b) How many subsets have {2,3,5} as…

A: Given set,

Q: Each student at State College has a student I.D. number consisting of 3 digits (the first digit is…

A: The students id has 6 places. The 1st 3 places has to be filled by the digits, and last 3 places has…

Q: Let A,B,C⊆UA,B,C⊆U and n(U)=130n(U)=130. What are the smallest and largest possible values of n(A)?…

A: To determine the number of elements in the given sets under the given conditions

Q: Let A = { 2, 4, 6, 8} and B = { 6, 8, 10, 12}. Find A ∪ B.

A: A ∪ B = {2,4,6,8} ∪ {6,8,10,12}

Q: Given {-5, - 1,0, –, 1, 7, 11.6, V7, 37 , list the numbers in this set that also belong to the set…

A: The given set is -5,-1,0,14,1,7,11.6,7,3π

Q: Determine if 3 is in Nul A, where 3 -5 -3 6 -2 -8 4

A:

Q: If A and Bhave 9 and 18 elements each, what is the maximum number of elements in A intersection B? 6…

A: Given n(A) = 9 n(B) = 18

Q: so which one is it 1, 2, 3, or 4?

A:

Q: There are 4 trucks for every 5 cars in a parking lot. How many trucks and cars could be in the…

A: ANSWER :

Q: Show し 43. are 23 4

A: Solution:To find whether the figure is similar or not

Q: Find the power set of A where A = {a,b,c}. How many elements are in the power set of A (if the…

A:

Q: Find the sets A and B if A − B = {1, 5, 7, 8}, B − A = {2, 10}, and A ∩ B = {3, 6, 9}.

A:

Q: Let n(A) = 4, n(A ∩ B) = 4, n(A ∪ B) = 10. How many elements are there in B?

A: Given,  n(A) = 4, n(A ∩ B) = 4, n(A ∪ B) = 10

Q: Decide whether the statement is true or false.{4, 8, 12, 16} ∩ {4, 12} = {4, 8, 12, 16}

A:

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”.