Consider a set of elements X₁, (a) How many 8-element subsets contain x3? X12. (b) How many 8-element subsets do not contain x9? (c) How many 8-element subsets contain x3 and x6 but do not contain x9?

Q: x-1 x +4 x + 2 b) 1 x - 1 + x-2 x² = 4 X

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Q: Determine the coefficient of xaxzx if (x1 + x2 + x3 + x4)1ª is expandec

A: This is given by the multinomial coefficient formula. We state the theorem and then deduce the…

Q: a. x − 1 _ x² + 2x − 3 x2 x+2

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Q: given n (A⋂B) = 18, n (A) = 3, n (B) and n (A⋂B) = 2.Find n (B) and the number of subsets of set B

A: Solution

Q: if P(A and B)=P(A)*P(B) then P(A and B) cannot equal P(A)+P(B) True or False

A: It is given that  P(A and B) = P(A)*P(B)

Q: If n(A ∪ B) = 96 and n(A) = n(B) = 67, find n(A ∩ B).

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Q: What is the element a32 from A1 1 - 2 - 1 - when A 2 1 1 -1 2 - 3

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Q: 10 a.) Completely simplify E ()2* i=0 b.) Expand (1 – r)® and simplify. c.) Expand (r +r-1)5 and…

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Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: If  n(A) = 105, n(A ∪ B) = 144, and n(A ∩ B) = 46, find n(B).

A: We know from set theory nA∪B=nA+nB-nA∩B

Q: let A {a, b} and B = {4, 5, 6}. %3D

A: A=a,bB=4,5,6 To find : a A×Ab B×B

Q: Show that A x (B\C) = (A × B)\(A× C). Please do not use membership tables.

A: Given  A X (B\C) = (A X B)\(A X C)

Q: Which of the following is equivalent to 3x²(-2x)e-x² + e-x²16x O -16xe-x²(x² - 1) O 16xe-x²(x² + 1)…

A: Given query is to simplify the expression.

Q: If n(A ∪ B) = 97 and n(A) = n(B) = 66 find n(A ∩ B).

A: Given, n(A ∪ B) = 97 and n(A) = n(B) = 66

Q: Expand (* + 2)x-2)- (x-2) O a x - 4 O b x -x- 6 x - 2x - 4x+ 8 x -x- 2 x - x O c e

A: The given function is x+2x-2-x-2.

Q: so-Z of what is 21

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Q: If n(A) = 108, n(A ∪ B) = 146, and n(A ∩ B) = 41 find n(B).

A: Please refer the attached image for complete solution.

Q: given 7(x-1)=2(3x+2) prove x=11

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Q: n(A) = 104, n(A ∪ B) = 144, and n(A ∩ B) = 45, find n(B).

A: The following information has been given: n(A) = 104, n(A ∪ B) = 144,  n(A ∩ B) = 45 We need to…

Q: If A=-1 4 -3 -7/ -1 and A¹=/? ? (22 a ? What is the value of the element a? Give your answer…

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Q: Show that whether x5 + 10x3 + x + 1 is O(x4) or not?

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Q: b) Find (3512, 2020) and find integers x and y such that 3512x + 2020y = (3512,2020).

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Q: If  n(A) = 109, n(A ∪ B) = 160, and n(A ∩ B) = 42, find n(B).

A:

Q: Suppose A = {1, 2, 4, 5}, B = {2, 3, 5, 6} & C = {4, 5, 6, 7}. (a) What is (A ∪ B) − (C − B)?(b)…

A: We have given A = {1, 2, 4, 5}, B = {2, 3, 5, 6} & C = {4, 5, 6, 7}.

Q: If n(A ∪ B) = 99 and n(A) = n(B) = 69, find n(A ∩ B).

A: Given, n(A ∪ B) = 99 and n(A) = n(B) = 69   The objective is to find  n(A ∩ B).

Q: L. (4 - 5)}(4 + + 2x° + 3x + 4x + 5) 4+ 6x + 6x + 4x°) dx |

A: we have to evaluate:

Q: x

A: We see that the r-th term of (x+y)27 is given by Cr27xry(27-r)  i.e. the sum of exponent of x and y…

Q: c. ( - 1 - 2 - 2 ) : ( - 1 - ₁ ) × (1 - 1) = C. 5 3 16 2

A: Concept: A situation is represented using mathematical symbols, variables, and arithmetic operations…

Q: Expand and simplify each of the following algebraic expressions. b) (2)(3x – 6)(-3x + 4) a)…

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Q: 1+x dr 1+ x?

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Q: 2r2 + 2r + 11 dr 2r +3)(x² + 4)'

A:

Q: If n(A) = 104, n(A ∪ B) = 140, and n(A ∩ B) = 46, find n(B).

A: n(A) = 104 n(A ∪ B) = 140 n(A ∩ B) = 46

Q: What is the coefficient of x in (x-3)7

A: To find the coefficient of x4 in (x+3)7.

Q: -valuate the following 3 .4 3 2 x² + 2x³ + 3x² + x + 1 x4+x²

A: A detailed solution is given below.

Q: Is A = [ -5   5   1 ]            [ 0   1   -1 ]            [ 1   -1   0 ] the A-1 = ?

A: