How many ways are there to elect a class president, vice president, and treasurer from a class of 20 students? We assume that each student is eligible for any office and that no student may be elected to more than one office

Q: president, a treasurer, and a secretary are to be chosen from a committee with forty members. In how…

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Q: 2-) club officers: If a club consists of 10 members, how many different arrangements of president,…

A: Given that ; Total A club has 10 members i.e. (n) = 10  Total posts are (r) = 3  By usin…

Q: On a ballot, the candidates for each office are listed together under the office for which they are…

A: Number of candidates in one office is 5. Number of candidates in another office is 3.

Q: Two coins are randomly drawn from a coin pouch. If there are 5 dimes, 2 nickels, and a quarter, how…

A: As given there are 5 dimes, 2 nickels, and a quarter in a pouch. 1 nickel = 5 cents 1 dime = 10…

Q: How many ways can a male and a female be selected to decorate for a party from a club consisting of…

A: We will find out the required total number of ways.

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: Eighteen people on an amateur sports team are choosing a captain, a vice - captain, and a social…

A: we have to find no of ways..

Q: In how many ways is it possible to elect a president, a vice-president, a treasurer, and a secretary…

A: Given Data: The total number of members in the club is: n=43 From the given club a president, a…

Q: In how many ways can a commitee of 9 students be chosen from 8 juniors and 10 seniors if there must…

A: Given data: 8 juniors and 10 seniors

Q: 10) There are 8 members on a board of directors. If they must form a subcommittee of 6 members, how…

A: Given data 8 members available  We have to select 6 from it for committee Here order of selection…

Q: How many ways can 5 bicycles be parked if there are 9 available parking spaces?

A: Number of ways in which 5 bicycles can be parked if there are 9 available parking spaces.

Q: 1. A man has 5 different suits, 7 different shirts and 4 different pairs of shoes. In how many ways…

A: here use counting principle

Q: 1. How many three person committees can be chosen from a group of six people? 2. Dylan, Andrew,…

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Q: In how many ways can 6 boys and 6 girls be seated around a circular table if all the no girls are…

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Q: In how many ways can a male president and a male or a female vice-president be selected out of 5 men…

A: To determine the number of ways in which a male president and a male or a female vice‐president be…

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: See the attachment

Q: ssume that 8 women and 6 men work in a department at a large company. How many ways can a…

A: Combination formula : The number of ways to select r subject from n is determined by using following…

Q: How many ways can 6 ladies be seated in a circular table such that 2 of the ladies must always sit…

A: To find: The number of ways to arrange 6 ladies in a circular table such that 2 of the ladies must…

Q: In how many ways can a team of 11 players be chosen from 14 players if the captain and his assistant…

A: This is problem of counting and we will solve this using combination.

Q: From a group of 40 people( 30 women and 10 men) A jury of 12 people is selected. In how many…

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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: How many ways exist to arrange 7 books (A, B, C, D, E, F, and G on the shelf,  if the books B and

A:

Q: A class has 10 boys and 12 girls. In how many ways can a committee of four be selected if the…

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Q: In how many ways can a chairperson and a treasurer be chosen from a club with 18 members, all of…

A: Total number of members is =18

Q: A class is consist of 12 boys and 10 girls. In how many ways can the class elect 4 members of a…

A: We have given that the class consist 12 boys and 10 girls. Total number of members = 22…

Q: In how many ways can a committee of 5 be formed from 5 juniors, and 7 seniors, if the committee must…

A: GivenNo.of juniors = 5No.of seniors = 7Total no.of seniors and juniors=12

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

A: ANSWER: From the given data,

Q: 1. A college student is choosing 3 classes to take during first, second, and third semester from the…

A: Answer is mentioned below

Q: A certain congressional committee consists of 8 senators and 12 representatives. How many ways can a…

A: It is given the number of senators is 8 and representatives is 12.

Q: How many ways can a male and a female be selected to decorate for a party from a club consisting of…

A:

Q: In how many ways a team of 4 representatives can be chosen in a class of 12 students consisting of 5…

A:

Q: Six prizes are to be given to six different people in a group of seventeen. In how many ways can a…

A: Total number of people = 17 Number of prizes to be given = 6 For the first prize, we need to select…

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 coffee shop offers five different flavors of coffee and three flavors of doughnuts. How many…

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Q: In how many ways could a club of 12 members choose a president, Vice President and a treasure?

A: GIVEN DATA : There are 12 members in the club. TO FIND : Number ways 12 members can choose a…

Q: In how many ways can a Riders Org. chapter with 30 directors choose a president, a vice president, a…

A:

Q: You are teaching a math class, and have seventeen students who are so hard-working and invested, you…

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

Q: In how many ways can 8 students be seated in a row if two particular students must never be seated…

A: In the given problem we have to  find in how many ways can 8 students be seated in a row if two…

Q: 1. At a certain university 523 of the seniors are history majors or math majors (or both). There are…

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

Q: In how many ways can a person choose three movies to watch from a collection of 7 suggested movies?

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

Q: Customer account "numbers" for a certain company consists of 22 letters followed by 44 single-digit…

A: In general, the number of digits is 10. They are, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

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: 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: 3. There are 6 men and 5 women in a room. In how many ways we can choose 3 men and 2 women from the…

A: We have given that the 6 men and 5 women. Total number of persons are 11.   Combination formula: C(…

Q: 7. There are 12 students in a class. In how many ways can the 12 students take 3 different tests if…

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Q: Suppose there are 14 people from which you can choose a President, Vice President, and a Treasurer.…

A: The number of people is 14.

Q: 7. There are 7 boys and 5 girls in a class. а. How many ways can a committee of 4 people be selected…

A:

Q: The board directors of a corporation must select a president, a secretary, and a treasurer. In how…

A: We will use arithmetic method to find solution to the problem.

Q: in how many ways can a committee of 9 students be chosen from 8 juniors and 10 seniors if there must…

A: Given data: A committee of 9 students.

Q: In how many different ways can a president, vice-president, secretary, and a treasurer be selected…

A: