There are seven candidates running for the presidential and vice-presidential nomination. How many ways are there of selecting presidential and vice-presidential candidates from the field? (Assume that every candidate is willing to accept either nomination.)

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: An academic building consists of three floors. There are 10 offices on each floor including 3 corner…

A: In mathematics, a permutation of a set is, loosely speaking , an arrangement of its members into a…

Q: How many ways are there to seat six boys and eight girls in a row of chairs so that no two boys are…

A:

Q: A coin is tossed. If it shows heads, a marble is drawn from Box 1, which contains one white and one…

A: Probability of getting a tail =1/2 Probability of getting  a white marble(when coin flips tail)=2/3…

Q: Suppose you are taking a bus trip from your home in Florida to California. There are seven different…

A: Given that we are taking a bus trip from your home in Florida to California. There are seven…

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: 3. A committee of 7 people is to be chosen from a group consisting of 7 men and 9 women. If the…

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Q: 12) From a committee of 1O, how many ways can we select a President, Vice President, and Secretary?…

A: From a committee of 10, how many ways can we select a president, vice president andand secretary.

Q: If in a convention, 53 people liked coffee A, 52 people liked coffee b, 42 people liked the coffee…

A:

Q: 7. If there are 12 representatives in SSG (Supreme Student Government), how many different sets of…

A: As per the Bartleby guildlines we have to solve first question and rest can be reposted...   Given…

Q: In a group of 28 employees, 11 take public transit while 10 drive to work. 9 employees from this…

A: As per our guidelines we are suppose to answer three sub parts .Given,no.of employees take public…

Q: 7 Assume that the student has a cup with 6 writing implements: 3 pencils, 2 ball point pens, and 1…

A: Given that a student has a cup with 6 writing implements :3pencils,2 ball point pens and 1 felt -tip…

Q: How many ways are there to select 7 countries in the United Nations to serve on a council, if 2 are…

A: Disclaimer: Since you have posted multiple questions, we will solve first question for you. If you…

Q: 3. A delegation of 4 students is selected each year from a technical school to attend the Skills…

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Q: In a survey of 285 professional athletes, it was found that 146 of them owned a convertible, 133 of…

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

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

A: Topic:- permutation and combinations

Q: A 8 person committee consist of 5 women, including Margaret, and 3 men, including Anthony. If a…

A: a) Given that there are 5 women and 3 men.  We can pick 1 man in 3C1 ways and 2 women in 5C2 ways So…

Q: 3. A student council consists of 8 students, with 3 women and 5 men. a. In how many ways can a…

A:

Q: In a survey of 269 professional athletes, it was found that 133 of them owned a convertible, 111 of…

A:

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: In a survey of students about favorite sports, the results include 21 who like tennis, 31 who like…

A:

Q: 3. a. In how many ways can the 12 members of the Board of Directors (BOD) be chosen from 12…

A: Using permutations and combinations total number of ways can be calculated

Q: A rent a car company has 14 available cars on its lot and 3 customers waiting in the office. Assume…

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

Q: In how many ways can BSU cooperative with 10 Board of directors choose a chairman, vice chairman,…

A: Remark: We know that the number of different permutations of n distinct elements taken r at a time…

Q: A club has seven members. Three are to be chosen as a group to a national meeting. A) If the club…

A: Given Information:  Number of members in a group = 7  Number of men = 4  Number of women = 3

Q: Nine graduate students have applied for two available teaching assistantships. In how many ways can…

A:

Q: In an election with candidates A, B and C, there are 200 voters. Among them, 71 listened to the…

A: Please refer to the image below

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

A:

Q: In a survey of 258 professional athletes, it was found that 124 of them owned a convertible, 104 of…

A:

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

A: Given: Total number of people = 10 (including Francis and Jojo)Required committees = 4 person

Q: 7.The 11colleges of interest to a high school senior include that are expensive​ (tuition more than​…

A: Consider the provided question, Given, The 11 colleges of interest to a high school senior include 7…

Q: 20 people have volunteered for a 5-person neighborhood advocacy committee. 13 of them are homeowners…

A:

Q: A baseball tgam has 16 players. Suppose that the team has three star players: Ryan, Glenn and Manny,…

A: Given: The first 3 places are already fixed to Ryan, Glenn, and Manny.

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

A:

Q: A clothing store has a certain shirt in 4 sizes: small, medium, large, and extra-large. If it has 2…

A: Given Information -  The clothing store has shirts in 4 sizes: small, medium, large, and…

Q: How many seating arrangements can be formed if by seating A,B,C,D,E in a row: If A,B,C sit together…

A: Given information: As per guidelines we will only answer the first three subparts, please repost…

Q: 2. A footbal! team of 11 players is to be selected from short list of 16 players. Find the number of…

A: Given: Number of players = 16 Number of players selected = 11

Q: 1. There are 15 men and 18 women who belong to a club. An executive panel consisting of a president,…

A: There are 15 men and 18 women. We want to select 4 people out of 33 peoples. ( i ) with no…

Q: 10. A committee of gize 6 is being formed from a group of 10 Republicans, 8 Democrats and 4…

A: Given,no.of Republicans=10no.of Democrats=8no.of independents=4total no.of peoples=22

Q: Suppose there are 14 freshman, 13 sophomores, 15 juniors, and 17 seniors running for the offices of…

A: There are 14 freshman, 13 sophomores, 15 juniors and 17 seniors.

Q: Thirteen graduate students have applied for four available teaching assistantships. In how many ways…

A: Given, 13 graduate students have applied for 4 available teaching assistantships. a) Number of ways…

Q: Three different classes contain 20, 18, and 25 students, respectively, and no student is a member of…

A:

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: In a survey of 252 professional athletes, it was found that 119 of them owned a convertible, 122 of…

A:

Q: company’s CEO has 8 people reporting directly to her, and she wants to select 2 to attend the grand…

A:

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

A: Given: Number of members = 16 Number of officer has to choose = 3 (president, vice-president, and…

Q: A club has 25 members. a) How many ways are there to choose four members of the club to serve on an…

A:

Q: Suppose that there is a proposal on campus involving the bus schedule, in which students were asked…

A: 50% favored Saturday service 57% favored late-night service 30% favored both.

Q: In how many ways can the hosts of the ASEAN Summit choose the main judge, secondary judge, and…

A: The multiplication principle states that if a task is completed in multiple steps, then the number…

Q: In how many ways can 8 people be seated in a row if there are no restrictions on the seating…

A: As per our guidelines, we are allowed to answer three sub-parts only.   1.there are no restrictions…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.