(a) How many injective functions are there from {1, 2, 3} to {1, 2, 3, 4, 5, 6, 7}?

Q: What is/are the mode(s) of this group of numbers? (4, 6, 9, 5)

A: Mode: Mode is the value, which has the highest frequency among all other values of the observation.

Q: Let U = {3, 4, 5, 6, 7, 8, 9, 10},  A = {4, 6, 8},  B = {3, 4, 7, 10}, and C = {3, 5, 7} . Find the…

A: It is given, U= {3,4,5,6,7,8,9,10}.

Q: What is the domain of the following {(3, 4), (9, 1), (10, 5), (2, 15), (8, 4)} O {3, 4, 9, 1, 10, 5,…

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Q: What is the domain of the following {(3,4), (9,1), (10,5), (2, 15), (8,4)} O {3,4, 9, 1, 10, 5, 2,…

A: We have given that { (3, 4), (9, 1), (10, 5), (2, 15), (8, 4)}

Q: The data to the right represent the top speed (in kilometers per hour) of all the players (except…

A: It is required to find the number of classes, lower and upper class limits of the third class, and…

Q: What is the range of the following: {(3, 4), (9, 1), (10,5), (2, 15), (8, 4)} O {7, 10, 15, 17, 12}…

A: A relation is a map which can be written as a set of ordered pairs. A function is a relation which…

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: Which of the following sets is (are) proper subsets(s) of the set of the multiples of 5? Choose one…

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Q: Give a recursive definition with initial conditions of the set S SEE IMAGE

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Q: a set A = {1,2, 3, 4} of numbers and a set B = {a, b, c, d} of letters. {(1, d), (2, d) , (3, a) ,…

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Q: Consider the partial order with domain {3,5,6,7,10,14,20,30,60} and with x ≤ y if x evenly divides…

A: Let , A=3,5,6,7,10,14,20,30,60R be the relation on A such that-v  x,y∈R .  xRy iff x≤y & x…

Q: Consider the following subset of R": W = {(x1,x2, 83, L4, 25) E R° | r1 = x2 = 13, 14 + 15 = 0}. (a)…

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Q: 60 30 20 20 10 10 (iii) (iv) Figure 4: A Hasse diagram shows a set of elements, 3, 5, 6, 7, 10, 14,…

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Q: (1) Let L₁ = {peach, apple, cherry} and L2 = {pie, cobbler, e}. List the elements of L₁L2 in…

A: Note that   is the language given that                     first we list all elements in  along with…

Q: onsider the 4-lists taken from {1,2,3}. For example, (1,2,1,3).  How many are there in which each…

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Q: In this question, write down your answer, no need for any justification. You can leave your answer…

A: Since you have asked a question with multiple subparts, we will solve first three subparts for you.…

Q: Is the class {{x} : all sets and atoms x} a set? Why yes or no Is the class {{x} : all atoms x} a…

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Q: The following table shows the number of new (single-unit) houses started, in thousands, in the…

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Q: Show that in a group of people there must be two individuals that have the same number of friends…

A: We make a proof by contradiction and use the pigeonhole principle.

Q: Find an increasing subsequence of maximal length and a decreasing subsequence of maximal length in…

A: GIVEN CLEAR EXPLANATION BELOW