how many ways can 5 boys and 3 girls be seated around a table if (i) there is no restriction (ii) boy B_1 and girl G_1 are not adjacent? (iii) no girls are adjacent?

Q: If a study determines the difference in average salary for subpopulations of mechanical engineers…

A: Here Given  study determines the difference in average salary for subpopulations of mechanical…

Q: How many different ways can the letters of ​"attract​" be​ arranged?The number of different ways…

A: Fromula used:If there are n different objects in the system then the number of different ways of…

Q: How many ways are there to distribute eight balls into six distinct boxes with at least one ball in…

A: The balls are identical. In this case there are 8 balls and 6 boxes to be placed, so each box can be…

Q: a) Without restriction? b) With each person getting at least one pear?

A: The objective is to distribute eight (identical) apples, six oranges, and seven pears among three…

Q: 2. From a box containing 4 defective and 5 non-defective items, how many samples of size 3 are…

A:

Q: 5. In a fuel economy study, each of 3 race cars is tested using 5 different brands of gasoline at 7…

A: Given: Number of race cars = 3 Number of brands of gasoline = 5 Number of sites = 7 Number of…

Q: How many ways are there to place two identical queens on an 8 × 8 chessboard s so that the queens…

A: Solution:First let us find the number of ways where two two identical queens are on the same row or…

Q: In the survey of 60 people it was found that, 25 read Sunstar 26 read Manila times 26 read manila…

A: Concept: Venn diagram: A Venn diagram illustrates the conceptual relationship between two different…

Q: Suppose there are 14 boys and 6 girls in a classroom. A teacher randomly selects 5 students from the…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…

Q: A bag contains 5 black and 8 white balls. In how many ways can we draw from the bag groups of balls…

A:

Q: Suppose that we have a shipment of 50 microprocessors of which four are defective. In how many ways…

A: Given: shipment of 50 microprocessors of which four are defectiveTo find that:  In how many ways can…

Q: A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that 2 is red and…

A: GivenA box containNo.of red balls = 8No.of green balls = 6Total no.of balls = 14

Q: A bag contains 5 black and 10 white balls. In how many ways can we draw from the bag groups of 5…

A:

Q: A panel for a political forum is made up of 13 people from three parties, all seated in a row. The…

A: A panel for a political forum is made up of 13 people from three parties, all seated in a row. The…

Q: In how many ways can the television director of Exer-cise 38 fill the six time slots for commercials…

A:

Q: 15 distinguishable objects are to be distributed into five distinguishable boxes so that the boxes…

A:

Q: Can you give me an example of What is Permutations Rule (when all of the items are different?

A: Permutation rule:There are n different items and r number of selections and the selections are made…

Q: A certain cat shelter has devised a novel way of making prospective adopters choose their new pet.…

A: There are a total of N cats of which some are black and some are orange. Let us take there are n no.…

Q: In how many ways can 8 patients be assigned to 1 private (allowing 1 person only), 1 semi-…

A: here given , 8 patients be assigned to 1 private (allowing 1 person only), 1 semi private(allowing…

Q: same

A:

Q: A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that they are all…

A:

Q: 1. The class Council is selling T-shirts that come in 3 colors ( yellow, blue, white) and 4 sizes…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: A machine produces parts that are either good (80%), slightly defective (10%), or obviously…

A: Given Information: To find out the quality of the parts that make it through the inspection machine…

Q: If a small monster collector has 20 small monster containment devices; intends to use all of those…

A: The small monster collector has containment devices and will use all of them, while capturing at…

Q: A bag contains 7 black and 4 white balls. In how many ways can we draw from the bag groups of 5…

A:

Q: In a study of pain relievers, 50 people were given product A, and all but 15experienced relief. In…

A: Given: Product A: n = 50 X = 15  people experienced relief. Product B: n = 20 X = 9 people…

Q: In an experiment on social​ interaction, 6people will sit in 6 seats in a row. In how many ways can…

A: Here we Wang to know how many ways six people can sit in six seats in a row.

Q: What is Permutations Rule (when all of the items are different?

A: Introduction:Suppose there are n items; all the items are different from each other, that is, the…

Q: From a box containing 4 defective and 5 non-defective items, how many samples of size 3 are…

A: (a) Determine the number of ways in a sample of size 3 can be drawn from with no restrictions. The…

Q: How many ways are there to distribute eight different toys among four children if the first child…

A:

Q: A company decided to distribute 5 identical computers among its employees. In how many different…

A: From the given information, The number of identical computers = 5 Number of employees who is going…

Q: Suppose that there are eight runners in a race. The winner receives a gold medal, the second place…

A: Given Suppose that there are eight runner in a race . The winner receives a gold medal the second…

Q: es. If the individual course and the  order in which the courses are selected does not matter, then…

A: Given as,  5 trails and each has 12 courses.

Q: In how many ways can we distribute eight identical white balls into four distinct containers so that…

A:

Q: A panel for a political forum is made up of 14 people from three parties, all seated in a row. The…

A: Given: A panel for a political forum is made up of of 14 people from three parties. The panel…

Q: 1. A baseball team that has 15 players on its roster. Nine players will be selected for their…

A: Given that  Number of people on its roster (n) =  15 Number of left handers = 5 Number of right…

Q: How many different “3 of a kind”s are there in Yahtzee?

A: Consider the provided question, We need to find the number of different ways in which  "3 of a…

Q: A cell phone company offers 19 different voice packages and 19 different data packages. Of those, 6…

A: Given information 19 different voice packages 19 different data packages 6 include both voice and…

Q: Founders of a new unnamed company have narrowed the list of names under consideration to 30.…

A: Total number of the names for consideration = 30. The company is considering up to 3 names i.e. the…

Q: Does this mean that the results generated from this study will be highly-accurate? What might cause…

A: Concept: For any study, if an individual does not willing to participate in the study, then the…

Q: There are 10 participants to a barangay meeting to talk about safety measures to be implemented…

A: Here the total number of participants = 10 It is needed to arrange them in row , where , three of…

Q: Question 2 Determine the number of odd, non-repeating three-digit numbers that can be written using…

A: Hello According to bartleby guidelines we are supposed to answer only first question so gor rest of…

Q: An advertising agency wants to know whether the no of column inches of classified ad carried by 2…

A: Step1: The null and alternative hypotheses are,    H0: The median difference is zero      Ha: The…

Q: Suppose we select 2 students randomly from a class of 20 students. The first student  selected will…

A: Given data  There are total of 20 students  We need to select 2 students from them

Q: In a study of pain relievers, 50 people were given product A, and all but 10 experienced relief. In…

A: No. of people was given product A =50 ad all but 10 experienced relief.

Q: many permutations can be formed with two types of objects with n objects of type 1 and n^2 objects…

A:

Q: A bag contains 7 black and 6 white balls. In how many ways can we draw from the bag groups of 5…

A:

Q: A bag contains 7 black and 6 white balls. In how many ways can we draw from the bag groups of balls…

A: