Discrete Mathematics (Counting theory)  We want to spread a face-to-face exam among 24 students over three days: Wednesday, Thursday and Friday. An exam schedule is the score with the 3 subsets of students for each day. (Or, equivalently, a function e: {1,2,...,24}→{M, J,V}.) We want to count the possible schedules (=N) under different rules. 3. What is the number of schedules possible where all the choices in advance are made for the same day (Friday/Thursday)? Answer: N= (Answer is not 2, answer is not 12 or 12.5. Answer is a large number) Hint: Everyone takes the exam either Wednesday or Friday or everyone takes the exam either Wednesday or Thursday.

Q: For what values of k will the set of ordered pairs ((1,10),(2,9),(3,8),(4,7),(k+2,6)} represent a…

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Q: T= {(-4, 6), (6,4), (3,3), (0, -7)}  What is the domain and range of T

A: Given  T= {(-4, 6), (6,4), (3,3), (0, -7)}

Q: For what values of n will the set {(1,3),(2,5),(n-1,1),(n,7),(n+ 1,0) represent a function?

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Q: Draw the graph of the function. K=7

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Q: {(1, 1), (2, 2), (3, 5), (4, 10), (5, 15)} Function: Domain: Range: WHAT DO YOU MEAN IM NOT-A BEAR?

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Q: From the options below, select those sets which are functions from {1,2,3} to {7,8}. {(2,7), (1,8)}…

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Q: Which of the following set of ordered pairs is NOT a function? * O b. (1, 1), (2, 2), (3, 3), (4, 4)…

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Q: Which ordered pair could you add to the following list of points to create a function? (3, 5) (4, 9)…

A: Domain set of all input values where f defined Range Set of all output values

Q: 3. The area between f(x)=3x and g(x)= kx is 4 (where k >0 is a real number). Find the value of k .…

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Q: Which of the following set (or relation) represents a function: O{(4,1), (8,2), (13,2), (19,4) } O…

A: We have to determine which relation is a function.

Q: A company designs spinning toys using the family of functions y = cxv4 – x, where e is a positive…

A: The design of spinning toys is given by the below family of functions. y=cx4−x2 Here c is a positive…

Q: 19. Let R be the region in the first quadrant bounded by f(x)=cx and y=2. IfR is rotated about the…

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Q: Use this table to find the foloowing x 0,1,2,3,4,5,6,7,8,9, f 7,6,5,8,4,0,2,1,9,3 g…

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Q: Which one of the following set of ordered pairs represent a function? a) {(4.4)(32).(1.5).(3.4)} b)…

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Q: Which relation is a function ? O (1.0) (3.0) (11), (3,1). (1,3) 0 (1.1) (2.2), (3.3). (4.4), (5.8)…

A: A relation is a  function in which each input has only one output. For option 1. here for input 3 ,…

Q: 3. Let A = {1,2, 3, 4}. Let F be the set of all functions from A to A. (a) How many pairs (f, 9) €Fx…

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Q: Given: Set A = {a, b, c, d} into set B = {1, 2, 3, 4}. Determine which of the following set of…

A: We will check if it is a function and examine other options.

Q: 3. Which of the following is NOT a function? a. {(Manila, Philippines), (Tokyo, Japan), (Paris,…

A: Function: A function is relation in which every element in domain has unique image. Given: a.…

Q: Which of the following is a function one-one from the set A = {1,2,3} to B = {4,5,6} is: (Explain)…

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Q: What is the range of this function: {(4, 8), (9, 2), (-3, -4)}? Select one: in O a. (4, 9, -3} b.…

A: Given: 4,8, 9,2,-3,-4 To find the range of the given function. The range is a set of all resulting y…

Q: f (x) —D 5x + 9х — 4 %3D 8(х) %3D — 8x2 — Зх — 4 Find (f + g)(x). O a.- 3x* 6x2 | O b.3x2 + бх — 8 О…

A: Given, f(x) = 5x^2 + 9x - 4 g(x) = -8x^2 - 3x - 4 Now (F + g) (x) = f(x) + g(x) Plug the values, (f…

Q: Is the function e-2) increasing or decreasing when x = 5? O decreasing O increasing O neither…

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Q: Let A= {a,b,c,d,q,z} and B= {1,2,…,10} and define the function (D) how many functions are there from…

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Q: H 5 X+22° X = G 66% I

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