Consider a set A with 10 elements.  How many different functions are there from the set A to a set with three elements?

Q: Write a short analysis of the relationships between the representations and a description of the…

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Q: Write true otherwise false if the pairs of sets are equal,{{1}},{1,{1}}

A: Two sets A and B are equal if A and B  have the same elements.

Q: Create the different representations of a piecewise function according to the conditions. A table…

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Q: Submit your excel solutions for each of the following problems. 1. Find the polynomial of degree…

A: Question 1) We have to find the polynomial of 3rd degree for the following data - X Y 0 1 1…

Q: construct a function. Sounds simple enough, right? However, the domain, and range must both be sets…

A: Let the domain be the set D where D is the of first 5 natural numbers.Let the range be the set R…

Q: Here is a diagram for a relation R on a set A. Write the sets A and R. 0 3 4 5

A: We have been given a diagram for a relation R on a set A. To Do: We have to write the sets A and R.

Q: can two disjoint sets be close? Justify your answer using an example.

A: We know that any closed interval of the form [a,b] is an closed set. We use this fact further.

Q: How many different functions are there from a set with 10 elements to sets with 2 elements?

A: Definition 1.Function : A relation where every input has one single output. 2.Product rule: If one…

Q: Explain 'For two given sets A and B, not all relation are function'. Show an example

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Q: Denote the set using the listing method {x| x is reciprocal of a positive odd number

A: The set of positive odd numbers are as follows: 1,3,5,7,9,11,13,15,17,19,21,23,……… Given a real…

Q: 4. If f is a total function, is the cardinality of the domain the same as that of the range? Explain

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Q: If #: $ a,b,c} which of these celations are a funchion? Emplain, cab) CS

A: Solution : Given :    A= {a, b, c}  Set of relations are      a)    { (a, b), (b, c), (c, c) }…

Q: Give an example of a function that is one-to-one on the entire real number line.

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Q: Let A be the set of students {Tom, Jim, Lisa, Mary}. Let B be the set of courses {C100, C200, C300}.…

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Q: Does the following set represent a function? R = { (0,0), (1, -1), (1,1), (3,-1), (3,3) } What is…

A: Here we use the concept of functions.

Q: How many different functions are there from a set with 10 elements to sets with 5 elements?

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Q: How many one-to-one functions are there from a set with three elements to a set with eight elements?

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Q: Let A be the set of integers bigger than 3 and smaller than 10 and B the set of positive integers…

A: Solution-Let A be the set of integers bigger than 3 and smaller than 10.A={4,5,6,7,8,9}

Q: List all the possible subsets of set G, where G = {-7,m,z}- %3D

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Q: List elements of S(partial ordering relation).

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Q: Define the following sets: A=(1,3,7,9,10) 6-(2.5.7.8.9.10) C = (0,1.3.10) D=(2,4,6,8,10) E=xxis a…

A: Natural numbers do not include negative numbers.

Q: let A be a set with n elements and B a set with m elements. How many different functions are there…

A: Concept introduction: Relation: A relation between two sets is a collection of ordered pairs…

Q: Find the number of subsets of the given set. (x|xEN and 7<x<12}

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Q: 8. Let A {1,2,3,4) and B (0, 1. Find 4x B, Bx A, Ax 4, Bx B and indicate the number of elements that…

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Q: The sets {2, 4, 6} and {1, 3, 5} are equal sets. All relation is a function. The simplified form of…

A: To write a true or false for given statements.

Q: Find the complement of the set given that U={x xEI and -3<x<9}. (Enter your answers as a…

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Q: Define Function spaces.

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Q: Is it a set of all real numbers

A: In this question, we will find the complement.