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Q: Question 1 Prove that the number of pairs (A, B) such that A C B C {1,2.n} is 3".

A: Let the set A is containing n elements then number of ways to pick r elements out of n elements is…

Q: Let H = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e, f} Let W = {(a, b) : a € H, b = H} be the…

A: Answer:-

Q: 5. Let u = {1, 2,3, 4, 5, , 15} A = { 1, 2, 3, 4, 5 } B = { 1, 3, 5, 7, , 15 } .. Find (An B' )'

A: Given that,

Q: ST. As in pid. and find the mata'z 3D 3 B such that A- BBT,

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Q: How many terms are there in the G.P. 3, 6, 12, 24, .... 384. '

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Q: 3 = adj A. If |A| = - %3D

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Q: Question 2. Ten men and eight women are going to occupy a row of 20 seats. The men are seated from…

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Q: QUESTION 6 Let A, B, C, D be sets. (ANB)x(CND)=(AXC)n(BxD). True. False. QUESTION 7

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Q: Another term for X is: A) An explanatory variable B) A right hand side variable C) A left hand side…

A: Let us consider, the equation as, Y=aX+b Here, the variable X lies on right hand side. Hence option…

Q: How many ways can the letters be arranged? If each letter is distinct (that is, each letter E is…

A: Consider the letters of the word ELEEMOSYNARY Total 12 letters E occurs 3 times Y occurs 2 times…

Q: P. IN 0 -24 -20 5 2=1,4 1. -1 9 - - 1 O A. For P = 10 4 Click to select and enter your answer(s) and…

A: The required P matrix has been obtained from digonilization of given matrix in step 2 and step 3.

Q: 0-2 1 -2 0 0 0 duced echelon form of the augmented matrix [A b] i 1 (a) Express the general solution…

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Q: Select the correct text in the passage. Which word or group of words best helps to clarify the…

A: The objective of the question is to identify the word or group of words that best clarify the…

Q: Starting at a fixed time, each car entering an intersection is observed to see whether it turns left…

A: Given an experiment on observation of cars to see whether it turns leftL, rightR or goes straight…

Q: Convert ff Incxag) dA.aver. the.regian.cx.<e. segian.e.x+y.c.e. -.to.polar.form. and.…

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Q: Which of the following is the graph of the piecewise function f (x) - 7 f(x) -2-1 2 1 √-x-1 if XS-1…

A: To plot the piecewise continuous functions: f(x)=-x-1 if x≤-1xx2-x-2 if -1&lt;x&lt;2log2(x-1) if x≥2

Q: ューう -10 ーーーン - -2- つ ()ト 10 15 (-3-7)

A: We will find the slope of the given two lines by the given formula. And then compare the slopes to…

Q: Let U= {x |x E N and x< 10}. Let A = {x | x EN and x is odd and x< 10}. Let B = {x |x EN and x is…

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Q: Look at the directional fields of phase planes below. Draw a line to match each phase plane the…

A: We have to match the directional fields of each phase plane to the given linear systems.

Q: d) Let N = {1, 2, 3, ...} and for each n E N, let An = {n, 2n, 3n, ...}. Find A3 n A5

A: Introduction: The symbol "∩" can be used to represent the intersection of sets. According to the…

Q: Find formulas for the number of permutations of {1,...,n} with: (a) exactly one fixed point; (b) at…

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Q: nti Sacies

A: We apply the series method for following question

Q: a) How many different possible license numbers are possible? b) What is the number of possible…

A: It is an important part of statistics. It is widely used.

Q: 6. Given i [2, – 5Jand i [- 7,2] find C.

A: Given v→=[-7,2]We know that magnitude of vector [a,b] is a2+b2

Q: 2. Calculate -330. Show all work. (Recall that o-330 = (0-1)330)

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Q: 5. If A = I then what is A?

A: Here given as A2=I Taking determinant both side A2=IA2=1A=±1 Thus A is non singular and inverse of A…

Q: from "The Printing Press"  in Great Inventions and Discoveries by Willis Duff Piercy 1…

A: The objective of the question is to match each technical meaning to the term it is associated with.…

Q: Which of the following transformations are not congruent? A Image Preimage

A: two images are said to be congruent if they similar and same size. in option (A)  we just rotate…

Q: are given be

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Q: 6. 7. With U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15), A = (2, 5, 7, 11, 13), B = $1,…

A: Method: By Using the intersection and union of the events to find the probability

Q: 20 Using Figure 5.33, find the missing piece of information in parts (a)-(d). B BE = 12, AE = 9, DE…

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Q: i – 1 3 Find i= 3

A: It is given that, ∑i=35-32i-1we have to find its value

Q: A sequence of resistors or other components wired into a circuit one after the other?

A: A sequence of resistors or other components wired into a circuit one after the other refers to…