Use polyas method:A committee of 5 students is to be chosen from 10 boys and 11 girls. How many committees can be formed if the committee is comprised as follows: a. all are boys b. At least 4 are girls.

Q: An English class consists of twenty-four students, and five are to be chosen to give speeches in a…

A: An English class consists of twenty-four students, and five are to be chosen to give speeches in a…

Q: (b) In how many different ways can you order 1 cone and 2 scoops of ice cream which are not the same…

A: Given,  A motor pool contains 5 subcompact sedans, 4 compact sedans, and 3 midsize sedans.

Q: In how many ways can a committee of 3 be chosen from 7 people? (а) 120 (b) 70 (c) 35 (d) 210 (e)…

A: Given  Total number of people = 7 Number of people consisting committee is 3 The number of ways can…

Q: 3. a) How many ways are there to select three math help websites from a list that contains six…

A: Given that: a. 3 math help websites from 6 different sitesb. 3 cars and 4 trucks from 8 cars and 11…

Q: There are 6 candidates for Student council president, 3 candidates for vice - president, and 4…

A: Hey there! As per our policy we can answer only 1 ques at a time. Please make a new request for…

Q: If the goal keeper and defender should be selected from Class X that has 40 students for school…

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: Los Angeles Dodgers. From the official website of the 2013 Los Angeles Dodgers major league baseball…

A:

Q: In how many ways can you seat 12 people at two round tables with 6 places each? Think of possible…

A:

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

A:

Q: At the horse races (with ten horses competing), in how many ways can the top three places be…

A: Permutation: The number of different arrangements of ‘r’ elements from a set of‘n’ elements is…

Q: how many ways can a party of 8 people be seated in a circular table if 3 of them insist on sitting s

A: Given data,In a party there are 8 peoplen=8how many ways can a party of 8 people be seated in a…

Q: Eight students (Anna, Brian, Carol, ...) are to be seated around a cir-cular table with eight seats,…

A:

Q: Dunder Mifflin Inc., a paper company, must appoint a District Manager, Regional Manager, and…

A: Given :  There are total candidates (N) = 18 Required for position number of candidates are :…

Q: A survey of 1200 people in a certain city indicates that 870 own microwave ovens, 750 own DVD…

A:

Q: How many ways can you pick the cars so not both are the same siz

A: Number of subcompact cars=7 Number of compact cars= 4 Number of midsize cars= 7 Total cars= 18

Q: 6. A committee of 4 must be chosen from 6 girls and 5 boys. In how many ways can this be done if the…

A:

Q: in the word COPYRIGHTED, how many ways can you select three random letters?

A: As per Bartleby guideline expert have to answer first question only dear student please upload other…

Q: Faculty at a certain university need to create a committee to evaluate the general studies…

A: There are 20 possible outcomes for selecting chair, 19 possible outcomes for selecting vice chair,…

Q: b) Suppose that repetition of letters is pemitted, How many 6 letter can be fomed from the letters?

A: Now we have to calculate ,how many 6 letter can be formed if repetition is permitted.

Q: The Civic Arts Guild is having a show. There is room for 33 booths. The guild has 80 painters, 59…

A:

Q: 2. At SSC, a four-person committee is chosen from 15 teachers and a dean. In how many ways can the…

A: Note: As per bartleby guidelines for more than one questions asked, only one question with three…

Q: How many ways are there to win first, second, and third places in a rally with 14 cars, provided…

A: The number of cars in the rally is 14. The first place can be chosen in 14 ways. Since one car has…

Q: A rowing crew of 4 rowers is to be selected, in order from the first seat to the fourth seat, from…

A: The number of different arrangements possible are calculated as shown below for each of the given…

Q: In how many ways can a town elect 6 candidates to a committee from a field of 13 candidates? 13 P6…

A: We have to find out correct answer for given data..

Q: How many ways can a c

A: Given, a committee of 6 members be selected from an organization with 20 members

Q: 5. Of a company's personnel, 7 works in design, 14 in manufacturing, 4 in testing, 5 in sales, 2 in…

A: (a) Obtain the number of different committees that can be formed as follows.

Q: assume that you have a committee of 8 members, and that you must choose a chairperson, and…

A: Given data: Assume that you have a committee of 8 members, and that you must choose a chairperson,…

Q: A theater was designed to have 24 seats in the first row, 30 seats on the second row, 36 seats on…

A:

Q: Decide whether the exercise involves permutations or combinations, and then solve the problem   In a…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…

Q: Faculty at a certain university need to create a committee to evaluate the general studies…

A:

Q: 4. In a class of 50 students, 20 are math majors, 35 are computer science majors, and 12 are majors…

A:

Q: In how many ways can a town elect 6 candidates to a planning board from a field of 13 candidates?…

A: Given,total no.of candidates=13

Q: (5) A survey was done on a college campus to determine how many students owned a cell phone. Of the…

A:

Q: 7. A regional committee has 5 members from Town A, 3 members from Town B, and 2 members from Town C.…

A: HERE AS PER GUIDELINES I HAVE CALCULATED 1ST MAIN QUESTION  here use combination

Q: Consider a shipment of 50 laptops of which four are defective. A. In how many ways can we select…

A: A. The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: (a) How many ways are there to select a handful of 6 jellybeans from a jar that contains 5 different…

A: The solutions are given below

Q: An election ballot asks voters to select three city commissioners from a group of six candidates. In…

A:

Q: In how many ways can 5 students line up for a registration?

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 6 Heads of State are meeting in Washington DC. How many different linear seating arrangements are…

A: For linear arrangements, No. of linear arrangements=(n)!=6!=720

Q: n how many different ways can we select a committee of a president, vice president , and a secretary…

A: Given,total no.of applicants=15

Q: 9. Concider a shipment of 50 laptops of which four are defective. In how many ways can we select…

A:

Q: Los Angeles Dodgers. From the official website of the 2013 Los Angeles Dodgers major league baseball…

A: Given info:Five active players available on roster to play outfield.

Q: From a group of 10 men and 12 women, a 10-member committee is formed. In how ways can the committee…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: How many ways are there to choose a presiden ,vice president, secretary, treasurer, and security…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: A local college is forming a seven-member research committee having two administrators, three…

A: Given The number of members in contention for the committee are following  The number of…

Q: na student organization, there are 18 freshmen, 14 sophomores, 15 juniors and 22 seniors. 1. How…

A:

Q: In how many ways 5 students can be selected for a committee from 13 students? 3 154440 2201287

A: Combination is used to make the selection from the total number of outcomes whereas permutation is…

Q: Faculty at a certain university need to create a committee to evaluate the general studies…

A: Here Given Total number of faculty members=30 No of Chairman=1 No of Vice chairman=1 No of…

Q: 2. At SSC, a four-person committee is chosen from 15 teachers and a dean. In how many ways can the…

A: Since you have asked  multiple question, we will solve the first question for you. If you want any…

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.