a) There are |A||B| elements to choose from the set A x B, where A and B are finite sets. b) The set X has 2kelements, where f:X → Y is k-to-one function. C(n,r) c) P(n,r) = r! where n,r E N,n 2 r.

Q: Simplify the expression [(a'^b)v (av b')]v (a'nb^c) by using the laws of Boolean algebra.

A: By using laws of boolean algebra,    De Morgan's law  Double Negation Idempotent Law Absorption law…

Q: 4. Show that (N,|) is a poset

A:

Q: What does mean Universal Instantiation in quantified statements? Give an example.

A:

Q: Question 9 (Mandatory) (3.5 points) Saved (1) How many elements in Z₁13 and (2) what are possible…

A: Step 1:Step 2: Step 3: Step 4:

Q: Determine whether the following statements are true or false? (a) When interpolating n data points,…

A: Interpolation is the means of finding the function's value within a range of the input data

Q: how to find the value of U(n) on abstract algebra example U(8) = {1,3,5,7}

A: By the definition , U(n)={ a: a<n and gcd(a,n)=1}

Q: 41 Listen In the diagram below, a window of a house is 15 feet above the ground. A ladder is placed…

A: The diagram will be drawn as Here,  AB=15∠ACB=75° Let AC=x

Q: {21} s² +4 9-1 3 (28+5)³ 2} ₁-55

A:

Q: Theorem 3 Assume that a <1 and 16 (e +g +s) – d (c+f +r)|+|c(d +g +s) – e (b+ f +r)| +|f (d +e +s) –…

A: Given:…

Q: 6. A group of college students consists of 5 seniors and 6 juniors. (a) How many teams of 3 can be…

A: (a) In the group there are total 5+6 = 11 students.      From them, we need to chose 3 to form the…

Q: A is the set of odd number greater than 5 and less than 23 n (A)=

A: A is the set of odd numbers greater than 5 and less than  23

Q: K = (perfect squares of integers} under addition? Is it closed or not

A: K is the perfect square of integerNow we find whether it is closed or not.

Q: prove that a ∩ (b - c)=( a ∩ b)-(a ∩ c)

A: To prove: A∩B-C=A∩B-A∩C First prove, A∩B-C⊆A∩B-A∩C as follows.

Q: show all working out with annotations

A: Ages of 8 teachers in Easter Hills primary school: 24, 33, 42, 40, 36, 40, 35, and 22 Ages of 4…

Q: A) Sometimes data needs to be re-categorized for proper analysis. A common piece of data that…

A: Given informations: Arrange the given data in ascending order: 5, 11, 17, 19, 24, 27, 31, 32, 33,…

Q: Given: WY is the segment bisector of SA and he MZSCY= 126. Use the iacram th gien fo nda st at least…

A:

Q: 1+ (7) + (7)² + · + (7)* SELECT ALL A) B) (7)*+1 – 1 (7) – 1 (7)* – 1 (7) – 1

A: Use summation formula of n term of geometrical progression

Q: Consider the following subset of R": W = {(x1,x2, 83, L4, 25) E R° | r1 = x2 = 13, 14 + 15 = 0}. (a)…

A:

Q: a)How many indicator variables are required to dichotomize a nominal explanatory variable with five…

A: a)GivenThe nominal explanatory variable is with 5 categories. Here having four indicator variables…

Q: Show that if h+1 distinct integers are, Chasen from the Set El,2,en.,4n}. then there are always two…

A: To show that choosing n+1 distinct integers from the set {1, 2, 3, ..., 4n} then there are always…

Q: Evaluate:Z-¹ { ¹(s+2)²-49 }

A:

Q: minimum and maximum numbers that can be represented in 9 bits?

A: maximum of 9 bits is 111111111=1×28+1×27+1×26+1×25+1×24+1×23+1×22+1×21+1×20=511

Q: There are 10 questions in a final ėxamination for Discrete Mathematics. Each question is assigned at…

A:

Q: How many of the following statements are correctly stated? • Qualitative variables describe how much…

A: How many of the following statements are correctly stated? Qualitative variables describe how much…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.