(1) How many paths from • to • that pass through are possible, given that you can only go right one step or up one step on each move?

Q: Discrete Maths Oscar Levin 3rd eddition 4.3.9: Prove Euler’s formula using induction on the number…

A: Given Euler’s formula using induction on the number of vertices in the graph.

Q: Prove that the number of feasible solutions of an LP problem (in canonical form) is either 0, 1, or…

A: A feasible solution to a linear program is a solution that satisfies all constraints. let us…

Q: Prove that Master Cheng has won precisely 21 times in a row during some consecutive days.

A: Please find the solution

Q: • If the chain is in state 1 on a given observation, then it is five times as likely to be in state…

A: From the given information,  If the chain is in state 1 on a given observation, then it is five…

Q: 1 Show that 2-* d.x 2 In 2

A: We can show the answer in the following steps.

Q: 1. Suppose a team X plays 19 games im a two-week period of 14 days, and plays at least one game per…

A: Solution: Given: X plays 19 games in a two-week period of 14 days, and plays at least one game per…

Q: In x /1+ (In x)² -dp-

A:

Q: The weather on any given day in a particular city can be sunny, cloudy, or rainy. It has been…

A: Let x, y and z represent the probabilities of sunny, cloudy and rainy states of days, respectively.…

Q: Which of the following is equivalent to

A: To find expression that is equivalent to:

Q: (d) The apartment is hot if and only if the temperature is not 75º and the air conditioning is not…

A: Here given Statement in English convert them to symbolic form using standard notation

Q: Suppose 5 of every 9 dentists recommend Mintyfresh Toothpaste. Suppose ten dentists are chosen (a)…

A: A binomial distribution can be thought of as simply the probability of a success or failure outcome…

Q: If (n + 1)(n + 2)an+1x" - nan-1x" = 0, n=1 show that for k = 1, 2, 3, ..., we have 1.3.5... (2k - 1)…

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Q: =3. Let a = [2₁1,-1], 5o = [4₁-5, 3] and C-[-1,-2,5]. compute ax (b + c). Show full steps.

A: We have to solve given Questions.

Q: Prove that if we move straight down in Pascal's triangle (visiting every other row), that the…

A: In any Pascals triangle nk, n≥k≥0 When we move 2 rows down and move 1 over then it becomes n+2k+1 we…

Q: 2. The physicist Frank Benford noticed in the 1930s that, for many sets of numbers in the real…

A: Hi there! I see there are more than three sub parts in the question. According to our polocies can…

Q: Problem 19.1. Prove that 2019 can not be represented as a sum of three fourth powers o integers…

A: Take the fourth power of integers from 1 to 7 and obtain that 74 is greater than 2019. Therefore, to…

Q: A man finished a job in 5 days. On the first day, he finished 1/m of the job. On the second day, he…

A:

Q: The Königsberg bridge problem asks if the seven bridges of the city of Königsberg (picture…

A:

Q: Jump to level 1 u = [15, – 15] u [| %3D Ex: 5

A:

Q: Theorem = 7 K 51 M 25

A:

Q: S Sech (ax-

A: Evaluating the integral of hyperbolic function using substitution.

Q: 5. In 1202, Leonardo Fibonacci posed the following problem: Suppose a particular bread of rabbit…

A:

Q: A biologist has placed three strains of bacteria (denoted I, II, and III) in a test tube, where they…

A:

Q: 5. A certain bacteria triples every 2 hours. If at 9:00 am there are initially 1000 bacteria, how…

A:

Q: 6. How many times will the clock strike in 24 hours if it strikes only at the hours once at 1, twice…

A:

Q: 2л 2 2 Compute |pA dz dr de 0 07 O A. 35 28 O B. 35

A: To solve the integration.

Q: The academic planner of a university thinks that Ho: p2 0.39 Hạ: p 0.39 Ho: p > 0.39 H.: ps 0.39

A: In hypothesis testing, a null hypothesis can be defined as the hypothesis of no difference or…

Q: During the initial phase of an outbreak of COVID-19, the number of infections can grow…

A: Since the number of infections can grow geometrically. The number of infections on day 1 is 1=a. The…

Q: Suppose a fair die is tossed two times. Let X be the larger of the two faces that appear. Find px…

A: Solution: From the given information, a fair die is tossed two times.

Q: 1. Find two non-negative numbers such that the product of the first squared and the second is 108…

A: 1) Given data:   The given expression for the product of the squared of the first number and the…

Q: Suppose a newly born pair of rabbits, one male and one female, are put in a field. Rabbits are able…

A:

Q: when you come across an ( i^2) that should be converted to ______

A: when you come across an i2 that should be converted to ______

Q: Due to the high incidence of crime, a company is giving its employees new and secured access to the…

A: 90% of the time the door should open if the card is inserted because the door is not locked from…

Q: an 34an-1 – 289an-2 for n > 3 with initial conditions aj = 68, az = -1734. an

A:

Q: If (ar + bx) = 4n and n+1 k-1 (ak-br) = then ar = n+2 k=1 k-1

A:

Q: (a) Five members of committee are to be formed from three females and four males. In how many ways…

A: a) Numbers of females (f)=3  Numbers of females (m)=4  i) The number of ways are =2 females and 3…

Q: The solution set for x satisfying both 1| 1 - is O a) None of these b) (-∞, – 1) U (1, 3] ОФ (1, 3]…

A:

Q: If ais 2'x 3 x 5° and b is 22 x 3 x 5 then gcd(a,b) is: 3x 32 x 50 23× 3' x 5º 23 x 3 x 5' 3x 32 x…

A: Find the GCD of prime factorization of a and b

Q: show that the Neumann problem 2 2 in du - 2 an 2 on does not have a solution.

A: We will use greens theorem

Q: be run under the building. If these two blocks must always be next to each other, how many s can the…

A: Given Here we have 7 blocks ,but we  have to keep 2 perticular blocks together. So we have to…

Q: 12) a-:]- B-[:: ind AR 3 0 3 -2 1 Find AB. %3D -2 1 0 4-3

A:

Q: Therefore we obtain that U1 +h +P U2 12 0, U1 > 0. 1- p 12 U2 Thus, we get that -h = 0, U2 – 12 =…

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Q: Determine s' (x) ifs (x) = x-7 + e-8a O s'(x)=x6 - e-8x O s'(x) = -7x-8 - e-8x-1 O s'(x) = -7x-8 -…

A:

Q: A man finished a job in 5 days. On the first day, he finished 1/m of the job. On the second day, he…

A: Given - A man finished a job in 5 days. On the first day, he finished 1/m of the job. On the second…

Q: Suppose x ~ Uniform(1, 2), and

A:

Q: of dr? e-ex

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.