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Q: Question 1:  How many ways can they line up so there is always atleast 1 duck between any two geese.

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Q: The game of pool uses 15 balls numbered from 1 to 15 (see figure). In the game of rotation, a player…

A: An Arithmetic progression is a series which starts from a given number, and each number of the…

Q: ing rheory

A: ℤ5  is a principal integral domain _______?_____

Q: A researching team conduct a survey, where out of 76 Americans surveyed, only 2 had seen or sensed…

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Q: The first few powers of 9 are 90 = 1, 91 = 9, 92 = 81, 93 = 729. Prove by strong induction that 9n…

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Q: (HEALTH IS WEALTH) An elephant is preparing for the coming Olympics. Although he practiced in…

A: Given that weightlifting record of elephant is randomly selected for a day from each month. Let X…

Q: Write the decimals as fractions and then add. Write your answer in decimal form. a. 7.6+ 27.3 +0.52…

A: Explanation of the answer is as follows

Q: Q5; Mathematical Induction (a) Use mathematical induction to prove the following for all natural…

A: To prove using induction, (i) ∑i=1n1i2≤2-1n (ii) 4n+4>(n+4)4

Q: On average a group of deer has 20 members. 10% of the newborn deer will die after the end of the…

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Q: A cycle (i iz is ... in) is called an n-cycle. If n 2 then the n-cycle is called transposition. Note…

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Q: A batch of pills consists of 7 that are good and 10 that are defective (because they contain the…

A: Given statement is. A batch of pills consists of 7 that are good and 10 that are defective (because…

Q: License Plate Possibilities A license plate consists of1 letter, excluding O and I, followed by a…

A: License Plate letter and number can be formed by multiple way possible. The total…

Q: Isotopes are defined as: atoms of the same element that have different number of neutrons. atoms of…

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Q: show that |z3|  ≠ |z4|  it is verified that |z1+z2/z3+z4|  ≤ |z1|+|z2|/|z3|-|z4|

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Q: 5.2.8       Discrete Mathematics This is a dublicate please answer the question as quickly as…

A: Here, it is given that the store offers gift certificates in denominations of $25 and $40.Since,…

Q: An experiment consists of selecting a student body president and vice president. All undergraduate…

A: The number of possible ways for president is 4. They are, freshman, sophomore, junior and senior.

Q: MPLETION. Fill-out the missing information on the table, perform the necessary operations. Show your…

A: Note- Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…

Q: State and proof Newton Gregory formula for forward interpolation.

A: newton gregory formula for forward interpolation is given by ''   F (a+hu) = F (a) + u16∆F(a)+…

Q: 14. To recruit members of an organization, a member recruits two persons; these two persons recruit…

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Q: Determine the order and the degree:- 3+= a. Order - 2; Degree - 3 b. Order - 3; Degree - 2 c. Order…

A: NOTE: Refresh your page if you can't see any equations. . The order of the highest derivative term…

Q: A colony of bacteria is grown under ideal conditions in a laboratory. At the end of 4 hours, there…

A: Given: The growth of bacteria under ideal conditions in a laboratory. When t=4, then the population…

Q: llustration 21.2. Find the remaining class frequency, when N=100 (a)=40, (AB)==10, (aB)=20.

A: We have given that  N = 100,  (AB) = 10,  (α) = 40  (αβ) = 20

Q: Type a formula in A3 to compute B2 minus B1. The formula should start with: =   A B C 1 5 7 5 2 40…

A: Given,

Q: Cooking oil is produced in two main varieties: mo lyunsaturated. Two common sources of cooking oil…

A: A contingency table is a type of table where frequency distributions are displayed in the form of a…

Q: (a) The marble is red. P(red)= (b) The marble is odd-numbered. P(odd)= (c) The marble is red or…

A: Hi, the question has more than three parts. As per the guidelines I am obliged to answer first three…

Q: Bit strings are series of binary numbers. There are 4 types of bit strings shown below, where the…

A: According to the generalized extended pigeonhole principle, if N objects are placed in k boxes, then…

Q: Circle wether the value of the first quantity increases or decreases as the value of the second…

A: It is known that the height and width of a rectangle with fixed area are inversely proportional to…

Q: 1) A Starbuck's store sells coffee in three sizes: a 12-oz tall, a 16-oz grande, and a 20-oz venti.…

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Q: There is a mound of g pounds of gravel in a quarry. Throughout the day, 400 pounds of gravel is…

A: SOLUTION-

Q: (Counting) We want to create passwords, where each password is omposed of 7 digits. Recall that the…

A: We will answer the first question. Please resubmit the other question separately to be answered.

Q: Surgery and germs. Joseph Lister (for whom Listerineis named!) was a British physician who was…

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Q: Quiz # 1.pdf Quiz # 1 Q: Find the value of n by using Permutation Method P14 = 14.13.12 II. P02: P1,…

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Q: 11 DPS Chains onible slenshT SI A Digit Product Subtraction (DPS) chain starts with any number with…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: 31. Combination Lock A combination lock has 60 different positions. To open the lock, the dial is…

A: Given: A combination lock has 60 different positions.   To open lock: 1st:Dial is turned in…

Q: Discrete Mathematics Explain Steps  If no two couples sit together, how many different ways may n…

A: We will use inclusisve exclusive principle to solve it.

Q: 49. Car rental patterns A car rental agency in a major city has a total of 2200 cars that it rents…

A: Let x be the number of cars rented from Metropolis Airport, y be the number of cars rented from…

Q: 1 + 5 + 9 +...+ (4n-3) = (2n+1)(n-1) for n ≥ 2 Use proof by Mathematical Induction.

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Q: Resolve recurrence a)an = 2an−1 + 3 an−2 a0 =1; a1 = 3, n≥2

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Q: A tank contains 26,624 L of water. At the end of each subsequent day,half of the water is removed…

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Q: I+4 +7 +. + (3n -2) = n(3n ニ

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Q: 3. A person infected with COVID-19 can infect 2 persons. Those 2 persons can also infect 2 more…

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Q: value of the permutation. 6P4 6PA= (Type a whole number.) %3D

A: It is an important part of statistics. It is widely used.

Q: Students spin a spinner 500 times. The table shows the results of their experiment. (FILL IN EVERY…

A: Given : Total Spin = 500 Color Number of spins (X) P (X) Purple 100 100/500 = 0.2 White 200…

Q: 6. In a hallway there are 100 closed lockers. Now 100 persons pass the hallway. The first one…

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Q: Everything being the same, if a researcher was able to reject H0 with α = .01, then he or she must…

A: Here we need to check whether the given statement is true or false.

Q: نات classes repetitions fi 6- 3 12- 6 18- 10 TI 24- 7 2 30-36 4 1/72) th

A: Here, we have given that classes and corresponding repetitions i.e. frequencies. For example,…

Q: performance-enhancing Suppose that a test for drugs is 85% accurate (It will correctly detect 85% of…

A: Given that a test for performance-enhancing drugs is 85% accurate. Suppose that 5% of the 1600…

Q: Solving a linear Ocn3) Ax=b for an nxn matnx A system opeations. (using Groussian eliminahion)…

A: the Gaussian elimination method is known as the row reduction algorithm for solving linear equations…

Q: Multiplication of whole numbers can be illustrated on the number line by a series of arrows. This…

A: To determine the multiplication depicted by the arrows.

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.