Find three subsets of {1, 2, 3, 4, 5, 6, 7, 8, 9} such that the intersection of any two has size 2 and the intersection of all three has size 1

Q: 3x 2x13x2x3 = 0

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Q: How many possible ways are there to arrange the six items into the four boxes in such a manner that…

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Q: 1. A₁-[0,4], A2-[1,5), A3= [0.5,3], A4- (1,9] As 2. A₁-[0,4], A₂-[1,5), A3- [0.5,3], A- (1,9] As 3.…

A: Given- Ω=set of all real numbers  A= index set  To identify the generalized union and intersection…

Q: Suppose that you know that a golfer plays the first hole of a golf course with an infinite number of…

A: To prove that the golfer plays every hole on the course when given that a golfer plays the first…

Q: In (Z24, €) find the orders of the elements 3, 4, 6, 7, and 18.

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Indicate that  R and R2 may be covered by countably many open balls.

A: To show that ℝ and ℝ2 covered by countably many open balls.

Q: Suppose that Hilbert’s Grand Hotel is fully occupied on the day the hotel expands to a second…

A: We know, Hilbert's Grand Hotel is a thought experiment which gives counterintuitive property of…

Q: E. Show that both R and R² may be covered by countably many open balls.

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Q: Find the measure of eachangle to the nearest degree in 8-9.

A: base= 20  perpendicular= 12

Q: II. Let Q-set of all real numbers, A-index set. Identify the generalized union and intersection of…

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Q: Represent the relations on {1, 2, 3, 4} with a matrix and digraphs.  (The rows and columns…

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Q: Consider the following sets: Express each set below using the roster method. Write all elements in…

A: AnswersB ∩ A = {3,5}(B ∩ A) - C = { }=ϕC - (B ∩ A) = {4,6,7}Explanation:(1)B intersection A means…

Q: An n×n magic square is a square array of numbers (n > 1) such that the sum of every row, of every…

A: Given a n×n magic square

Q: Find the number of permutations x1, x2, x3, x4, x5,  of numbers 1, 2, 3, 4, 5 such that the sum of…

A: A number is divisible by 3 when one of the factors of the number is 3. Thus the sum…

Q: Let X = {1, 2, 3, 4, 5} and Y = {7, 11, 13} %D are two sets. find R = {(x, y): x EX and * y EY and…

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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: Which of the following are difference sets? (ii) {0, 1, 3, 5} in Z13,

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Q: 1 -2 A = - 4 4 2 ve a solution. - 0 and b = 0 2 b₁ b₂ b3 Sho

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Q: Show that both ℝ and ℝ2 may be covered by countably many open balls

A: As per the question we have to prove that both ℝ and ℝ2 may be covered by countably many open balls.

Q: Сompute 1. f dx, where f(x)=|x|.

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Q: Suppose a die is cast 10 times. Let X1 be the number of terminations in the set {1, 2}, X2 be the…

A: Let us assume X1 denotes {1,2} faces show in 10 throw . The probability of that will be P(X1=1 and…

Q: Let [A1, A2], [B1, B2], [C1, C2] be 3 married couples who attended a concert.  Show that the number…

A: Consider that G is the group of females and B is the group of males.This two group of G and B can be…

Q: Prove that among any group of people, there are always two people with the same number of friends…

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Q: find In(2 i+3)

A: We have to find ln2i+3.

Q: Determine all pairs (x, y) of integers that satisfy x* + (x+ 1)4 = y² + (y + 1)²

A: Given equation x4+x+14=y2+y+12Simplify above equation we get that 2x4+4x3+6x2+4x+1=2y2+2y+1now we…

Q: Write out the elements of the set 2X where X= = {1,{0}, Ø, {2,3}}.

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Q: Show that both R and R² may be covered by countably many open balls.

A: To show :  Both ℝ and ℝ2 may be covered by countably many open balls.