1. List all possible arrangements of the four letters m, a, t, and h. Let C₁ be the collection of the arrangements in which h is in the last position. Let C₂ be the collection of the arrangements in which m is in the first position. Find the union and the intersection of C₁ and C₂.

Q: 2. A large industrial plant has six divisions that do the same type of work. A safety inspector…

A: Scatter Plot : Graphical representation of the relationship between two numeric values.Correlation :…

Q: 2. A Nonogram is a grid of squares that must be filled in black (indicates a filled space) or marked…

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Q: How many arrangements can be made from the letters of the word

A: Given, the word                   GODDESS

Q: A artist donates 4 different paintings anf 5 different vases in a museume The donations will be…

A: The solution to the question is attached in the images below.

Q: Suppose we want to choose 5 objects, with replacement for 8 distinct objects.  If the order of these…

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Q: Find the set An U. U={q, r, s, t, u, v, w, x, y} A = {r, w, y} B={s, t, v} C = {s, u, v, x, y}…

A: Given information U=q,r,s,t,u,v,w,x,y A=r,w,y B=s,t,v And C=s,u,v,x,y. We have to find the A∩U. Now,…

Q: If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, find the following. (Enter your answers as a…

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Q: 7.) Consider the smallest individual cubes and assume all stacks are solid. Determine the number of…

A: Consider the first figure, the length is 6 cubes, width is 2 cubes and height is 2 cubes. Total…

Q: Let A = {small, medium, large}, B = {blue, magenta}, and C = {pentagonal, round}. List the elements…

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Q: en A={x,y},B={1,2,3} and C={m,n}. How many orderd pairs are there for A×B×C

A: To find how many ordered pairs are there for A x B x C

Q: b. How many elements are in the set {a, {a, b}, {a} }? C. For each positive integer x, let A1` =…

A: Use the definition of set and its elements to solve this problem as in next step.

Q: A = {1,3,5,8,9,17,18} and B = {5,7,11,12,20} List the elements in set A u B and list the elents in A…

A: Please give me helpful review thanks

Q: 12. {yly = x² - 1, x = integers}

A: {y/y=x2−1,x∈integer}

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: There are two classes of students. Class A has 15 students and class B has 12 students. The teachers…

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Q: You want to arrange the letters of the word ”MISSISSIPPI” such that all the ’I’s come together. How…

A: MISSISSIPPI

Q: 4 10 11 •12

A: To find the elements of the sets x,y and z from the given venn daigram.

Q: Recall that each permutation can be written as a product of disjoint cycles. How many permutations…

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Q: Find the number of ways A,B,C,D,E can be arranged if a. the arrangements must begin with the letter…

A: The number of ways of arranging n digits in n! Ways.

Q: Partition of a set A = {1, 2, 3, ..., 9} 1. {{2, 3}, {1, 5, 7}, {4}, {6, 8, 9}} 2. {{1, 5, 7}, {4},…

A: To find which of the following is a partition of a set A={1,2,3,4,5,6,7,8,9}. And partition of a set…

Q: Set A = |{ { A, B, }, {5,1 }, {1,3,5 }, { 3}, { 2,3} }|.  How many elements are in this set?

A: We have to find number of elements in set A

Q: A universal set U with 66 elements has been partitioned into three subsets, A, B, and C. If B is 2…

A: We use the definition of the size of a set to find the number of elements in the set B. The size of…

Q: 8. Consider the set B = {1,2, {3,4}}. (a) Is {3, 4} a subset of B? Why or why not? (b) List all of…

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Q: 6. List the subsets of {a, B,r, A}.

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Q: It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many…

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Q: Researchers often wish to measure consumers' satisfaction toward certain products and might ask…

A: Nominal level: A nominal level is used for categorical variables with no numeric value. Ordinal…

Q: A box contains : 7 blue rubber balls numbered 1-7, 7 red rubber balls numbered 1-7, 7 green rubber…

A: Given that total balls = 28 total color = 4 total no. = 7

Q: Let D (2,5,7}, E= (2,4,5,6) andF=(1,3,4,5,7). List the elements in the set (D UE)N F. (DUE)NF = }…

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Q: For the poset, R = ( { 1, 2, 3, 5, 10, 15, 20, 25, 30, 35, 50, 70 }, | ):   Draw the Hasse digrams…

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Q: Construct an intersection graph of this collection of sets. A1 = {0, 2, 4, 6}, A2 = {0, 1, 2, 3, 4},…

A: We have to construct an intersection graph of collection of sets. A1 = {0, 2, 4, 6}, A2 = {0, 1, 2,…

Q: 6. Determine. 2r - 3x 4x SET A.

A: I have stated the used formula in the solution