5. At a certain clothing store there are 5 choices of color for the shoes, 7 choices of color for the pants and 6 choices of color for the shirts. If 500 hundred people purchase a pair of shoes, pants, and a shirt from this store, then at least how many of them will have the same color combination outfit?

Q: A company sells regular hamburgers as well as a larger burger. Either type can include cheese,…

A: Introduction: According to the combination rule, if r distinct items are to be chosen from n items…

Q: How many five-card poker hands containing exactly one pair are possible from a deck of 52 cards?

A: five-card poker hands containing exactly one pair are possible from a deck of 52 cards:

Q: The average age of the members of a country club is 54 years old. If there are ten 36-year-olds,…

A: Let the age of 20 other members be x years. Now  Age of 10 members=36 Age of 50 members =60 Total…

Q: How many different teams of 4 4 can be chosen from a group of 15 15 children and 17 17 adults if…

A: Given: Number of children = 15 Number of adults = 17

Q: There are N employees at a new company, and they are forming a union. How many ways are there to…

A:

Q: 2. A clothing store wants to stock sweatshirts that come in four sizes (small, medium, large,…

A:

Q: 7) The applicant pool for 6 management trainee positions consists of 7 women and 5 men. a) How many…

A: We have to use formula for combination as nCr = n!/r!(n-r)!

Q: How many ways are there to choose 20 co-op candidates out of 30 students to send to work at the same…

A: For the solution follow the next step.

Q: (a) In how many ways can one component of each type be selected? (b) In how many ways can components…

A:

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 25 (b)…

A:

Q: A club with five members is to choose three​ officers: ​ president, vice-president, and​…

A:

Q: A class consists of 60 girls and 40 boys. In how many ways can a president, vice-president,…

A: Number of boys=40 Number of girls=60 Given the treasurer must be a girl. Hence the number of ways to…

Q: A committee of 5 students is to be chosen from 6 boys and 5 girls 2. How many committees will…

A: Given,no.of boys=6no.of girls=5total no.of students=11

Q: 47. The membership of a particular club consists of 8 men and 4 women. If no one may hold more than…

A: Note: As per Bartleby Guidelines, only 3 subparts of a question can be solved at a time. so kindly…

Q: In how many ways can president, vice-president, and secretary be chosen from a group of 20 people,…

A: Ways of selecting some fixed number of people from given set of number is done by simp0le counting.…

Q: A box contains two black balls, labeled 1 and 2, and five white balls, labeled 3, 4, 5, 6, and 7.…

A: One person to get the both balls by 2 different ways

Q: ara's softball team can be divided into four groups:  1/2 of the players are strong hitters, 1/4 are…

A:

Q: In a survey of 251 professional athletes, it was found that 125 of them owned a convertible, 99 of…

A: Let us denote C=convertible, T=giant screen TV, S=sporting good storeGiven that:n(C)=125, n(T)=99,…

Q: How many ways can Paolo, Rico, Jared, Arnold, Edward, Janna, Victoria, Hazel, Julia, Alice, and Lyka…

A: Given, Male: Paolo, Rico, Jared, Arnold, Edward. Female: Janna,Victoria,Hazel,Julia,Alice,Lyka. So…

Q: 7. A computer programming team has 13 members. a. How many ways can a group of seven be chosen to…

A:

Q: In a middle school class, there are 7 students. A) In how many ways can all 7 students be arranged…

A: Given data: The total numbers of students are n=7. A) The expression for the number of ways of…

Q: 10 - In a group of 30 people, 15 run, 13 swim, 13 cycle, 5 run and swim, 8 cycle and swim, 9 run and…

A: given in a group of 30 people , 15 run , 13 swim , 13 cycle , 5 run and swim , 8 cycle and swim , 9…

Q: group of 9 grade 11’s and 13 grade 12’s apply to go to a student conference in Vancouver, but there…

A:

Q: ee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 6 freshmen, 7 sophomores,…

A: The selection of elements without arrangement can be represented by a combination of elements. We…

Q: Suppose you choose 9 cards from a standard 52-card deck (with 13 hearts, 13 spades, 13 clubs and 13…

A: A standard 52-card deck contains 13 hearts, 13 spades, 13 clubs and 13 diamonds and probability of…

Q: A. In a manufacturing operation, a part is produced by machining, polishing, and painting. If there…

A: Manufacturing Operations  Number of Tools Machining 3 Polishing 4 Painting 3 Process of…

Q: A computer programming team has 17 members. (a) How many ways can a group of nine be chosen to…

A: a) There are total 17 members  We can pick 9 from 17 members in 17C9=24310 ways  Answer(a): 24310

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: 16. Rabiah was given a chance to choose 8 books from 20 available books to be taken home, in how…

A: Permutation is arrangement of number of objects in a definite order. And, Combination is the…

Q: 3. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how…

A: Question: Anabelle would like to invite 9 friends to go a trip but has room for only 5 of them . In…

Q: How many ways can Paolo, Rico, Jared, Arnold, Edward, Janna, Victoria, Hazel, Julia, Alice, and Lyka…

A: Given : Total no of people= 11 Paolo and Hazel sit next to each other.

Q: 8. How many 4-person committees are possible from a group of 10 people including Francis and Jojo if…

A: NOTE*** As per bartleby guidelines for more than one question asked only first to be answered, send…

Q: A sock drawer contains 3 black socks, 4 blue socks, and 7 brown socks. If you pick socks from the…

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

Q: In how many ways can one black America and one Latino be selected from 15 black Americans and 6…

A: In order to get the result we have to calculate total no.of permutation.

Q: A class contains 9 boys and 3 girls. (i) In how many ways can the teacher choose a committee of 4?…

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

Q: Your car seats 5 people, including the driver. You have 8 friends who all need you to drive them…

A:

Q: How many ways can a group of 7 blood donors be chosen from 5 type A donors, 5 type O donors, 4 type…

A:

Q: SCUBA club consists of 9 divers with advanced certification and 6 with just a basic certification.…

A: given that Advance certificate=9 Basic certificate=6

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

A: a) The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: In a group of 24 people who like rock, country, and classical music, 14 like rock, 17 like…

A:

Q: how many ways can 2 men, 3 women, 4 boys, and 5 girls be selected from 4 men, 5 women, 6 boys and 7…

A:

Q: 4. A three-member panel of judges are to be chosen from 5 men and 3 women. In how many ways can this…

A:

Q: Suppose there are 5 men and 8 women qualified to be members of a new committee of 6 people,…

A: a) Since each position is distinct, so for this problem order matters. There are total (5+8)=13…

Q: n a class of 280 first year students, 65 study only Spanish, 100 study Chemistry, 175 study…

A: Given: There are 280 students in a first year class. 65 students study only Spanish. 100 students…

Q: 2. A basketball team of 12 players must be chosen from 18 players. In how many ways can this be done…

A:

Q: The New Shanghai Restaurant offers a choice of four appetizers, three choices of soups, and ten…

A: Given that:                       Number of choices of appetizers = 3Number of choices of soups =…

Q: A computer programming team has 15 members consisting of eight robots and seven humans. A committee…

A: Formula:  Combination: The number of ways to choose r objects from a set of n different objects is…

Q: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

A:

Q: A company sells regular hamburgers as well as a larger burger. Either type can include cheese,…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.