15 Eight people, of whom P, Q, and R are three of them, arrange themselves in a straight line. In how many ways can this be done if a. Pand Q must not be together, b. P, Q and R must not be together.

Q: |In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 9…

A: Combination is the arrangement of data without any order. It can arrange data from the sample from…

Q: a blood​ drive, 6 donors with type O+ ​blood, 5 donors with type A+ ​blood, and 2 donors with type…

A:

Q: How many ways are there for 8 men and 5 women to stand in a line, so that no two women stand next to…

A: Given that:-   There are 8  men  and 5 women to stand in line    No two women stand next to each…

Q: How many ways are there for 8 men and 5 women to stand in a line, so that no two women stand next to…

A: The possible way that 8 man arrenge in a row will be P(8, 8) No to women stand next to each other.…

Q: In how many ways can 3 Americans, 4 Frenchmen, 4 Danes and 2 Italians be seated in a row so that…

A: Choose the order of the 4 nationalities in 4! ways. Choose the order of the 3 Americans in 3! ways.…

Q: 29. In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate? *

A: Note that number of boys is more than that of girls. Therefore, the first position of row will be…

Q: The 13 colleges of interest to a high school senior include 4 that are expensive (tuition more than…

A:

Q: o How many ways six persons can stand in a line such that two specific persons do not stand close to…

A: six person want to stand in line and two specific not want to stand close to each other. we have to…

Q: How many ways are there for 8 men and 5 women to stand in a line, so that no two women stand next to…

A:

Q: At a blood drive, 6 donors with type O+ blood, 5 donors with type A+ blood, and 3 donors with type…

A: Given that, 6 donors with O positive blood 5 donors with A positive blood 3 donors with B positive…

Q: In how many different ways can 6 people be seated in a straight line if two of them insist on…

A:

Q: 3) Mr. Rodriguez needs to select 9 players for his basketball team. There are 20 available players .…

A: Given Total players = 20 We need to select 9 out of 20.

Q: 1. There are 12 athletes joining the Baguio Marathon Event, how many ways can the first, second,…

A: 1. There are 12 athletes joining the Baguio Marathon Event. First place can be chosen by 12 ways, as…

Q: 5. Is it possible to plant 10 trees in 10 straight rows, with 3 trees in each row? Hint: Desargues…

A:

Q: a) What if the person violates all 7 rules? b) What if the person never drinks alcohol and always…

A: Here use combination

Q: In how many ways can a comittee of 6 be chosen from 6 administrators and 4 supervisors if all are…

A:

Q: A woman has nine close friends. (a) In how many ways can she invite six of these to dinner? (b)…

A: Fundamental principle of counting : If an event occur in m ways an corresponding to it another event…

Q: The line in 5° Land (2.1,4 going through the erigin

A:

Q: In how many ways can 10 balls be placed into 4 boxes with no box being empty if: a) the 10 balls…

A:

Q: n a party of 6 persons, prove that either three of them will be mutual friends or three will be…

A: To prove that in a group of 6 people, either three of them are mutual friends or three are mutual…

Q: How many ways are there to pair 2n people?

A: We need to compute the number of ways in which 2n people can be paired.

Q: In how many ways can the letters u, v, w, x, y, z be arranged so that the letters u and v are…

A: Given: letters u, v, w, x, y, and z

Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given information: Total number of dogs(D)=3. The number ways can 3 dogs arranged is 3!. Total…

Q: 1) A committee of 5 is to be selected from a group of 7 men and 6 women. How many different|…

A:

Q: 3. A cellphone company has 1000 employees, 615 are male, 682 are single, and 345 are union members…

A: Given: A cellphone company has 1000 employees, 615 are male, 682 are single, and 345 are union…

Q: Out of 420 people in a club, 40% of them are over 30 years old.Of the people under 30 years of age ,…

A: Please refer the attached image for complete solution.

Q: 2. Nine runners are entered in a 100-meter dash for which a gold, silver, and bronze meda will be…

A: Solution: Total number of runners = n= 9  Number of medals = Gold, Silver and Bronge= r= 3

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Dear students as per guidelines we answer the first three subparts only.   Solution

Q: A shipment of 10 television sets includes three thatare defective. In how many ways can a hotel…

A: Consider that the load is of 10 televisions and three of these are defective. Also, consider that…

Q: The 12 colleges of interest to a high school senior include 8 that are expensive​ (tuition more…

A: It is given that, 12 colleges of interest to a high school senior include 8 that are expensive​…

Q: At a blood drive, 4 donors with type 0+ blood, 3 donors with type A+ blood, and 3 donors with type…

A:

Q: A survey of 305 adults found that during the last year, 75 traveled by plane but not by train, 75…

A:

Q: 5) The Louise Arbour basketball team of 13 players line up to take the team photograph. a) How many…

A: This question has two parts. This is related to permutation. The solution is given below.

Q: In a survey of 60 people, it was found out that 25 read Manila Bulletin, 26 read Philippine Daily…

A: Solution:There is 60 people in a surveylet xbe 25 theread Manila Bulletiny be 26 the read Philippine…

Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given,no.of dogs=3no.of cats=4no.of rabbits=4no.of pigs=2

Q: 2. In a survey of 60 people it is found that 25 like to drink milk, 26 coffee and 26 tea. Also 9…

A:

Q: 5. A shipment of 12 television sets contains 3 defective sets. In how many ways can a hotel purchase…

A: Permutation and combination is a mathematical method to obtain the number of possible way to…

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

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

Q: Assume that there are 70 students: 36 who enjoy tennis, and 13 who enjoy swimming but not tennis.…

A:

Q: The 22 colleges of interest to a high school senior include 7 that are expensive (tuition more than…

A: Given Data: n=22 n(E)=7 n(F)=7 n(EUF)=5

Q: How many ways are there for 8 men and 5 women to stand in a line, so that no two women stand next to…

A: 8 men and 5 women are required to be arranged in a line in such a way that no women should come next…

Q: How many ways are there for 8 men and 5 women to stand in a line, so that no two women stand next to…

A: Here we need to find the total number of ways. The solution is following.

Q: Refer to a bag containing 20 balls—six red, six green, and eight purple. In how many ways can we…

A:

Q: 1. A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the…

A: Given, 4 Mothers and 5 Children

Q: 11. In how many ways can we seat 7 people at a round table with a certain 3 people not in…

A:

Q: In how many ways can you distribute 10 identical balls between Ram, Yuvraj Singh, Mansoor and…

A: Number of way of choosing r objects out of n identical objects =Crn=n!(n-r)!×r!Given:total identical…

Q: 1- Show that : [ (A + B), (C + D )]= [A , C] + [ A , D ]+[B,C] +[B,D]

A:

Q: 3. A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: From the given information, Total number of hoses to be build (n) =9 One side has 6 lots and other…

Q: How many ways are there for 8 men and 5 women to stand in a line, so that no two women stand next to…

A: To solve this problem we will use the concept of permutation

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.