A rowing crew of 4 rowers is to be selected, in order from the first seat to the fourth seat, from 10 candidates. How many different arrangements are possible if: (a) There are no restrictions? (b) Malek or Andrew must row in the first seat? (с) Malek must be in the crew, but he can row anywhere in the boat?

Q: Assume that the student has a cup with 8 writing implements: 4 pencils, 3 ball point pens, and 1…

A: Consider the given statement,Student has a cup with 8 writing implements: 4 pencils, 3 ball point…

Q: 14. JCL Computers has five vacancies in its executive trainee program. In how many ways can the…

A: Given that there are 10 females and 10 males. So total (10+10)=20 persons. They can select any 5…

Q: A box of 15 spark plugs contains three that are faulty. In how many ways can 4 spark plugs be…

A: As per our guidelines we are suppose to answer three sub parts.  Given,Total no.of plugs=15no.of…

Q: 11. There are 8 women and 10 men in the math department. (a) How many ways can a committee of 4…

A: Given that, there are 8 women and 10 men in the math department. We need to find: (a) How many ways…

Q: 6.) During an offer from GAIA Computers, a customer who purchased a computer and printer was given…

A: Combinations: The combination is defined as the number of possible arrangements in a collection of…

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: Assume that the student has a cup with 9 writing implements: 5 pencils, 3 ball point pens, and 1…

A: Given data: *There are 9 writing implements out of which 5 are pencils, 3 are ball point pens and 1…

Q: 7) From a club of 21 people, in how many ways can a group of four members be selected? 8) A…

A: According to the question-answer guidelines the expert suppose to answer only three sub parts.

Q: How many ways are there to select three diamond earrings from a box of ten diamond earrings,…

A: Total diamond earrings = 10 We have to select three diamond earrings from a box. Order does not…

Q: b) A committee of four people is to be chosen from a group of nine candidates, consisting of five…

A: Solution : Given that ,    Group of candidates N=9    Number of women = 5    Number of man = 4    We…

Q: A delegation of four students is selected each year from a college to attend the National Student's…

A: Given information: A delegation of four students is selected. Therefore, x=4 a.) Here, we need to…

Q: 8 Of 150 employees of a store located in downtown Boston, 54 people take the subway to work, 36…

A:

Q: Seven women and nine men are on the faculty in the mathematics department at a school. i.How many…

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

Q: 6 A committee of 6 officials is to be chosen from 8 men and 7 women. If the committee is to maintain…

A: Committee selections , using permutations and combinations

Q: In a club with 5 male and 9 female members, how many 5-member committees can be chosen that have at…

A: We have to find no. If ways to arrange.

Q: The BMCC math club has 50 members. a. In how many different ways can it select a group of 4…

A: he BMCC math club has 50 members.

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: Seven women and nine men are on the faculty in the mathematics department at a school.   1. How…

A:

Q: 9) From a group of 30 people, a jury of 12 people is selected. In how many different ways can a jury…

A: We use combination formula here to find number of ways to select 12 people out of 30 peoples

Q: A jury of 8 is to be choscn from 5 men and 7 women. Find, a) The number of different ways in which…

A: The method of choosing of combination of r things out if n things are given by, The formula is of…

Q: A student wants to buy 3 CDs. Assume that they are interested in 4 CDs featuring the piano, 6 CDs…

A: The total number of ways of choosing 3CD's=C313=286 If all the CD's are same that are chosen, then…

Q: The mayor, together with 4 of his councilors is holding a meeting with 6 city volunteers. How many…

A: It is given that the mayor and 4 councilors is to attend the meeting with 6 city volunteers.

Q: How many ways are there to select a first-prize winner, a second-prize winner, and a third-prize…

A: We have to select a first-prize winner, a second -prize winner and a third-prize winner form 50…

Q: A committee of four is to be selected from a group of seventeen people. How many different…

A: Introduction: Total number of people available is 17. Total number of people to be selected for the…

Q: 2. At Mang Amang's Eatery, you can choose from 7 viands, plain or fried rice, 3 kinds of beverages…

A:

Q: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party Each…

A: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party.

Q: .There are four couples want to have their dinner in a round table . In how many ways can they…

A: From the given information, there are four couples want to have their dinner in a round table. Note:…

Q: 8. In a fruit feast among 200 students, 88 chose to eat durians, 73 ate mangoes, and 46 ate litchis.…

A:

Q: To fill a number of vacancies, the personnel manager of a company has to choose three secretaries…

A: The number of ways a company has to choose three secretaries from among ten applicants can be done…

Q: A student wants to buy 3 CDs. Assume that they are interested in 6 CDs featuring the piano, 5 CDs…

A:

Q: 1. In how many ways can 3 boys and 4 girls sit in a row if a. they are to sit alternately? b, the…

A: According to Bartleby guildlines we have to solve first question and rest can be reposted…

Q: A committee of four is to be selected from a group of twenty people. How many different committees…

A:

Q: How many different arrangements are there for placing identical coins into three different piggy…

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Q: . Over the past year, John has purchased 30 books.(a) In how many ways can he pick four of these…

A: Permutation is an arrangement or order of selecting some of the elements from a group or a set of…

Q: 8. The captain of a baseball team assigns himself to the 6th place in the batting order. In how many…

A: When you arranging elements (r) from orders list (n), Permutation is a matter of orders while, the…

Q: A teacher had chooses 3 of 22 students to help clean the room after school. In How many ways can the…

A: Given that A teacher had chooses 3 of 22 students to help clean the room after school. To find…

Q: fire stations that need new chiefs and 12 qualified candidates. In how many different ways could…

A: Given Data : Number of fire station =6                       Number of qualified candidates =12…

Q: How many different possibilities are there for the membership of the working group?

A: Here given A hospital working group of 8, consisting of 3 doctors, 2 nurses and 3 lawyers is to be…

Q: Of the first 5 vehicles in the teacher’s parking lot last Tuesday, 2 of them were minivans. Based on…

A: 48

Q: Four married couples have reserved eight seats in a row at the   theater, starting at an aisle seat.…

A: As given above there are four married couples have reserved eight seats in a row. The arrangement of…

Q: 1. In how many ways can the position of president and secretary of an organization be  filled if…

A: HERE AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS  here use counting Principle  there are total 4…

Q: A team is designed for the particular task in a software company. In the selection process, 11 male…

A:

Q: 3. A town orchestra is holding auditions for 3 new flute players and 4 new trumpet players. If 8…

A: It is given that a town orchestra is holding auditions for 3 new flute players and 4 new trumpet…

Q: (a) In how many ways could you arrange NINE books on a shelf? (b) Would it be feasible to list the…

A: The permutation is the mathematical techniques, which is used to determine the number of possible…

Q: there are 18 people from the mathematics department and 325 people from the computer science…

A: see my solution below

Q: A student is given a reading list of ten books from which he must select two for an outside reading…

A: Given that the student has a list of 10 books from which he has to select 2 books

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: 2. You were tasked to take charge of the auditions for the female parts of a stage play. In how many…

A: