Helen wants to buy a bunch of flowers. There are five types of flowers available, namely roses, chrysanthemums, lilies, carnations and tulips. How many possible bunches of 16 flowers can she choose if the bunch must contains no more than two lilies, but any number of the other types of flowers?

Q: Discrete mathematics/structures

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Q: 3. Approximate integration formula f (x)dx = aof(0) + a,ƒ (1/2) + a2f (1) is exact functions f (x) =…

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Q: A coin is flipped five times. For each of the events described below, express the event as a set in…

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Q: lect the statement that correctly describes the argument below. →q V¬q - pvq O The argument is…

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Q: Let f be a one-to-one function from X=(1, 2, -, n) onto X. Let fk = fofo of denote the k-fold…

A: To show that there are distinct positive integers i and j such that f^i(x) = f^j(x) for all x in X,…

Q: The domain for x and y is the set of employees at a company. Miguel is one of th company. Define the…

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Q: Discrete mathematics/structures

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Q: (c) Formally negate the statement from part (b). Simplify your negation so that no quantifier or…

A: Let the domain is set of all cars,  Fx="xis fast." Sx="x is a sports car." Ex="x is expensive."…

Q: |Let m be a positive integer. Let a and b be integers such that a = b (modm). Use mathematical…

A: Solution

Q: Look at the following statement proof: Proof Statement 1. VA, B, CCU,C – (AUB) = (Aº – C) U (Bº − C)…

A: (a) Let us consider the following sets.              A = {1, 2}            B = {2, 3}            C =…

Q: Say you have 5 points with integer coordinates (i.e. (3,-1)). Show that there must be two points…

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Q: How many permutations of the letters OPQRSTU contain the strings QPO and PRS?

A: Solution

Q: Consider the following relations on the set A = {1,2,3,4,5). (c) Rg = {(1,4), (2, 5) , (3, 3), (4,…

A: Consider the given function A=1, 2, 3, 4, 5.

Q: Discrete structure Math question.

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Q: Let S = {10n – 1: n e Z}, T be the set of odd integers, and U Prove that S CTNU. {5т + 4: т E Z}.…

A: Consider the given information. Here, S=10n-1:n∈Z And, U=5m+4:m∈Z And, the set T is the set of odd…

Q: A password for a computer system must have at least 8, but no more than 12, characters, where…

A: The password has lower case English letters , uppercase English letters a digit or one out of 6…

Q: Find at least three different sequences beginning with the terms 1, 3, 9 whose terms are generated…

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Q: . Define r on the power set of {1,2, 3} by ArB → |A| = |B|. Prove that r is an quivalence relation.…

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Q: a) Show that ac = bc mod cd if and only if a = b mod d

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Q: 1) Determine whether the relation R on the set of all Web pages reflexive, symmetric, antisymmetric,…

A: We are entitled to solve only the first 3 subparts of the first question so, I am providing you the…

Q: Below are several induction hypothesis statements. Select all the statements that are using STRONG…

A: Strong Induction: In strong induction, we assume that the statement is true for all  we prove the…

Q: Select the argument that is valid. O if 7 is odd then 9 is even 7 is odd or 9 is not even :: 7 is…

A: An argument is valid if and only if conclusion is true for each and every assumption.

Q: Negate the following (in English): a) If it is snowing, then it is cold. b) If x E (0, 1), then x2 <…

A: When we are to negate the statement of the form "If A then B" then the statement should be replaced…

Q: There are 20 different time periods during which classes at a university can be scheduled. If there…

A: Solution

Q: Discrete structure Math question.

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Q: (a) Show that if a graph has an Euler tour, then the degree of each of its vertices is even. In the…

A: To prove the theorem that a connected graph has an Euler tour if and only if every vertex has even…

Q: Select the solution to each of these recurrence relations: 2(n + 1)! 3n + 1 5. (-1)^n 3· (2^n)n! an…

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Q: The relation R on A = {a, b, c, d} is defined by the following digraph. b d (i) List all paths of…

A: We shall answer this question in next step. Before proceeding,please look into the graph given

Q: Prove the following using a proof by contradiction: The average of four real numbers is greater than…

A: Method of contradiction means we assume opposite to the facts to be proved and then we contradict…

Q: The domain for variable x is the set of all integers. Select the correct rule to replace (?) in the…

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Q: Discrete Mathematics

A: Given, A lake initially contains 1000 fish. Suppose that in the absence of predators or other causes…

Q: If there are 1022 different classes at a university, how many different rooms are required in order…

A: according to question, 1022 different classes are there at a university and we have to schedule all…

Q: Let U = {x |x is a positive integer and x <10} be the universal set, A = {x | x €U and x is a factor…

A: We have set U, where U is a universal set And A and B are sets whose elements are from U.

Q: 7,Prove the following fact: for any two positive integer a and b, gcd(2ª – 1, 2° – 1) = 29cd(a,b)–1.…

A: The question has a typo. It should be gcd(2^a -1, 2^b-1)=2^(gcd(a,b))-1. The -1 is not in the power.…

Q: 3. a. Find the area of the segment of a parabola at right using Archimedes result. No decimals. b.…

A: Archimedes' result states that the area of a segment of a parabola cut off by a chord is 4/3 times…

Q: a) Indicate the order in which the labeled nodes would be traversed with preorder transversal. b)…

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Q: Q-2: a) Let f: R→ R be a function defined as f(x) = (x+ 2)². Determine whether the function is one…

A: The given problem is to determine whether the function is one - one function or not , and another…

Q: Let A, B, C, and D be sets. Prove that (a) if CCA and DCB, then COD CANB.

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Q: The domain for variables x and y is the set {1, 2, 3). The table below gives the values of P(x, y)…

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Q: Use De Morgan's law for quantified statements and the laws of propositional logie to show the…

A: We have to solve the problems of discrete mathematics.

Q: Prove the following statement using mathematical induction or disapprove by counterexample. If you…

A: We need to prove that  P(n)=1+5+9+13+...+4n-3=n4n-22 We use induction hypothesis to prove it . For…

Q: What is the total degree of an undirected graph that has 5 vetrices and 20 edges ? a. 5 O b. 10 O c.…

A: Since the graph is not simple, it must have self loop or parallel edges. Now each edge share two…

Q: 4. How many positive integer solutions are there to the equation: X1 + x2 + .…+ x6 = 20

A: Formula: The number of positive integer solutions to the equation x1+x2+x3+···+xr =n are Cr-1n+r-1.…

Q: .et A, B be any two sets. Prove that if A C B, then A n B = p.

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Q: 3. TRUE or FALSE. a. } E (1, 2, 3, 4). b. (1) E (1, 2, 3, 4). C. Ic{1, 2. 3, 4). d. )< (1, 2, 3, 4).…

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Q: 6. Negate the following statements (formalism and normal English are both fine, as long as you are…

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Q: Examine the sum of the first n positive integers, E1 (2i – 1) = 1+3+5+...+(2n – 1) i=1 Provide a…

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Q: Suppose that fis a function from A to B, where A and B are finite sets with |A|=|B|. Then fis…

A: We can solve this using definition of one to one and onto