A computer company has 5 vaccines in its executive trainee program. The company must select the trainees from a group of 5 male and 6 female applicants. In how many ways can 1 male and 4 females be chosen?

Q: How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his 25…

A: The number of ways r items can be selected out of n different items is equal to C(n, r) . The…

Q: A company has 10 male and 11 female employees, and needs to nominate 3 men and 3 women for the…

A:

Q: There are 8 boys and 7 girls in the debate team at Central High School. In how many ways can a…

A: We have 8 boys and 7 girls in the debate team.  We need to make a team consisting of 4 members, such…

Q: From a club of 25 people, in how many ways can a group of six members be selected to attend a​…

A: In how many ways a group of six members can be selected from a club of 25 people.

Q: A university hires 7 male instructors and 4 female instructors. In how many ways can it choose from…

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Q: board of directors composed of 8 people, how many ways can 1 chief executive officer, 1director, and…

A:

Q: A club with 29 members is to select a committee of five persons. In how many ways can this be done?

A: In a committee, we select the persons as a group. So the arrangement does not matter. So we will use…

Q: In a school of 200 students, a math team, consisting of 15 students, is to be formed. Two team…

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Q: how many ways can a coach choose four players from eight bench players to replace four of the five…

A: The number of ways in which r different items can be chosen from n different items is given as Crn…

Q: A business has hired 12 new employees and must assign 8 to the day shift and 4 to the night shift.…

A: We have given that  A business has hired 12 new employees and must assign 8 to the day shift and 4…

Q: . A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector…

A: we have to find number  of ways..

Q: A computer gaming company employs 10 programmers, 6 graphics specialists, and 3 cre- ative…

A: We can select 4 programmers from 10 programmers in 10C4=210 ways We can select 2 graphics…

Q: How many ways can you select a committee of 4 student our of 10 students?

A: As per our guidelines we are suppose to answer only one question4)Given Total no.of…

Q: From the 6 male and 11 female sales representatives for an insurance company, a team of 4 men and 2…

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Q: There are 18 males and 14 females in a classroom. A president, secretary and vice- president must be…

A: There are 18 males and 14 females in a classroom. A president, secretary and vice president must be…

Q: A company has 8 male and 7 female employees, and needs to nominate 3 men and 3 women for the company…

A: Number of male employees = 8 Number of female employees = 7

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…

Q: How many ways are there to choose 3 applicants from 8 job-seekers for high-paying positions in an…

A: Given information- We have given that in an engineering company 3 positions are there and 8…

Q: There are 18 males and 14 females in a classroom. A president, secretary and vice-president must be…

A: Given that  Number of males = 18 Number of females = 14 Total number of people = 32   We know that…

Q: How many different committees can be formed from 7 teachers and 39 students if In how many ways can…

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Q: From the 11 male and 11 female sales representatives for an insurance company, a team of 4 men and…

A: From the 7 male and 6 female sales representatives for an insurance company, a team of 2 men and 2…

Q: How many ways can 4 officers be elected from 12 candidates?

A: From the provided information, There are 12 candidates from which 4 officers will be elected.

Q: How many different committees can be formed from 9 teachers and 32 students if the committee…

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Q: From a group of 36 people, a jury of 12 is selected. In how many different ways can a jury of 12…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: From the 12 male and 12 female sales representatives for an insurance company, a team of 4 men and 2…

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Q: From the 9 male and 6 female sales representatives for an insurance​ company, a team of 4 men and 3…

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Q: A classroom has 8 vacant chairs, 3 in the front row and 5 in the back row. In how many ways can 5…

A: Let us assume there are three students A, B and C sitting beside each other. The different ways in…

Q: A club with 25 members is selecting a committee of 6 people. In how many ways can this be done?

A: *concept:- use defination of Combination.

Q: A company has 12 male and 8 female employees, and needs to nominate 3 men and 3 women for the…

A: Solution-: A company has 12 male and 8 female employees and needs to nominate 3 men and 3 women for…

Q: A company has 12 males and 9 female employees, and needs to nominate 2 men and 2 women for the…

A: Determine the number of teams can be formed.   The number of teams that can be formed is…

Q: From the 7 male and 6 female sales representatives for an insurance company, a team of 2 men and 2…

A: Given ,           No of males=7          No of females=6

Q: A club of 8 people wants to choose an executive board consisting of president, secretary, treasurer,…

A: The problem can be solved using the concept of permutation and combination.

Q: Before a trial, a jury had to be selected from a group of 12 males and 13 females. a. In how many…

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Q: How many ways can a team of 28 hockey players choose a captain and two alternate captains?

A: Given that, There are 28 players in a hockey team.

Q: In a local club composed of 27 people, how many ways can 1 president, 1 vice President, 1 secretary…

A: Total number of people composed = 27

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

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Q: How many ways can you select 3 students from a class of 30 students to serve as representatives for…

A: Follow the procedure given below.

Q: how many ways can 3 outfielders and 4 infidlers be chosen from 5 outfeilders and 7 infeilders?

A:

Q: A health inspector must visit 3 of 8 restaurants on Monday. In how many ways can she pick the 3…

A: Total number of restaurants is = 8  She has to pick 3 restaurants.  Here the arrangement does not…

Q: A business has 26 applicants for a job. How many ways can they pick 7 of the applicants to…

A: A business has 26 applicants for a job. To find how many ways can they pick 7 of the applicants to…

Q: If there are three candidates for governor and five for mayor, in how many ways can the two offices…

A: We have given that  Candidates for governor = 3 Candidates for mayor = 5 Total candidates = 8

Q: A jury of 12 people is to be chosen from 10 men and 12 women. How many ways can a jury of 6 men and…

A: Given problem Given that   A jury of 12 people is to be chosen from 10 men and 12 women.

Q: How many different committees can be formed from 6 teachers and 46 students if the committee…

A: Given information- We have given that we have to form a committee of 5 teachers from 6 teachers and…

Q: A small high school has 35 seniors, 25 juniors, and 15 sophomores. If 3 students are chosen from…

A:

Q: How many ways are there to select 2 people from a group of 7 to serve on a committee? What kind of…

A: We have given there is group of 7 and we have to select 2 people from this group to serve on a…

Q: How many ways can 6 joggers line up single-file to get a drink from a water fountain?

A: Factorial Rule: The total number of ways n different objects can be arranged where order of the…

Q: From the 6 male and 6 female sales representatives for an insurance​ company, a team of 2 men and 4…

A: We will find out the required value.

Q: A mother of 9 children bought 2 chocolate ice cream cones, 3 strawberry ice cream cones, and 4…

A:

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.