Suppose a class consists of 3 students majoring in Islamic Studies, 4 students majoring in english and 5 students majoring in Science. How many arrangements can be formed for pairing two students majoring in Science?

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 jar contains 5 white balls, 8 black balls, and 6 red balls. In how many ways can 5 balls be…

A:

Q: How many six-person volleyball teams be made from a group of six men and three women if: a. If two…

A:

Q: In order to get a bachelors degree in biology, a student at IU needs to take 3 math courses from a…

A: Given: Number of math courses that are to take from a set of 7 courses  = 3 Number of chemistry…

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

A:

Q: A car can comfortably hold a family of five. If two people among the five can drive, how many…

A: To find: The number of different seating arrangements. Given: The total number of family member in a…

Q: Suppose a class consists of 4 students majoring in Mathematics, 3 students majoring in Islamic…

A:

Q: In a club with 20 members, how many ways can a slate of 3 officers consisting of president,…

A: This question is related to permutation and combination. The solution is given below

Q: 1) Suppose a class consists of 5 students majoring in Islamic Studies, 3 students majoring in…

A: 1) Given, A class consists of 5 students majoring in Islamic Studies, 3 students majoring in…

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: Suppose a class consists of 3 students majoring in Computer Science, 5 students majoring in Islamic…

A: The number of students majoring in the subject Computer Science is given as, n=3 Note that while…

Q: In a class, there are 4 students majoring in computer science, 9 students majoring information…

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: uppose a class consists of 5 students majoring in Mathematics, 3 students majoring in Computer…

A: given that

Q: Suppose a class consists of 5 students majoring in Mathematics,5 students majoring in Islamic…

A: The class consists of 5 students majoring in Mathematics,5 students majoring in Islamic Studies and…

Q: Suppose a class consists of 5 students majoring in Computer Science, 5 students majoring in…

A:

Q: Suppose a class consists of 4 students majoring in Computer Science, 5 students majoring in…

A: The above problem is based on the combinations.     A combination is the selection of items where…

Q: How many ways can a delegation of 55 Republicans, 55 Democrats, and 22 Independents be selected from…

A: Given data Number of Republicans = 77 Number of Democrats = 77 Number of Independent = 33

Q: 5. How many arrangements can be made from 4 boys and 4 girls if they have to sit in a roundtable and…

A: We have given that  Number of boys=4 Number of girls=4

Q: A bride is choosing a dress for her bridesmaids. If there are 3 styles, 4 colors, and 5 fabrics, in…

A: Given that, Number of styles = 3 Number of colors = 4 Number of fabrics = 5

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: According to the provided information, number of female students = 9 number of male students = 12…

Q: Suppose a class consists of 4 students majoring in Mathematics, 4 students majoring in Computer…

A: The number of students majoring in Mathematics = 4. The number of students majoring in Computer…

Q: A club of 136 members is in the process of choosing a president, a vice presider secretary, and a…

A:

Q: A committee must be formed with 3 teachers and 5 students. If there are 8 teachers to choose from,…

A:

Q: Suppose a class consists of 5 students majoring in Economic, 5 students majoring in Mathematics and…

A: Given,  5 students majoring in Economic 5 students majoring in Mathematics 3 students majoring in…

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: Combination:   A combination is a selection of objects where order is not important.   If n is…

Q: If 5 cards are dealt from a standard deck of​ cards, how many different ways can three spades and…

A: 5 cards are dealt from a standard deck of​ 52 cards. There are 13 spade cards. Therefore number of…

Q: How many Hokey teams of 6 players can be formed from 14 players without regard to position played?

A: Given ,no.of hokey players =14

Q: Suppose a class consists of 3 students majoring in Islamic Studies, 4 students majoring in…

A:

Q: A student committee is to consist of 2 freshmen, 4 sophomores, 3 juniors, and 5 seniors. If 11…

A:

Q: A computer company has 5 vaccines in its executive trainee program. The company must select the…

A: Given - A computer company has 5 vaccines in its executive trainee program. The company must select…

Q: In how many ways can one black America and one Latino be selected from 15 black Americans and 6…

A: In order to get the result we have to calculate total no.of permutation.

Q: Suppose a class consists of 4 students majoring in Computer Science, 4 students majoring in Islamic…

A: Given, Suppose a class consists of 4 students majoring in Computer Science, 4 students majoring in…

Q: a restauranr offers 4 different flavors of coffee,3 different soup selections and 4 different…

A:

Q: Suppose there are 20 students in our class and we want to choose 3 to sit in the front row. How many…

A: Given information There are 20 students We want to choose 3 to sit in the front row Total number of…

Q: How many different teams of 4 members can be selected from a pool of 20 applicants?

A: The combination formula is given by

Q: Suppose a class has 20 students and there are 11 males and 9 females. How many ways can a committee…

A: Given Total students = 20 males = 11 females = 9

Q: In a class of 15 boys and 10 girls, in how many ways may a committee made up of 3 boys and 2 girls…

A: Given:  15 boys and 10 girls.

Q: Suppose a class consists of 4 students majoring in Mathematics, 3 students majoring in Computer…

A: Number of students in mathematics MS= 4 Number of students in computer science CS = 3 Number of…

Q: Suppose that a drama class has 22 students. a. In how many ways can four students be selected to…

A: a) We will select a group of 4 students from 22 students. So arrangement is not required. That means…

Q: How many 4-person committiees can be formed from a group of 8 teachers and 5 students if there must…

A: If there is 1 teacher, then there must be (4-1)=3 students.  We can pick 1 teacher from 8 teachers…

Q: In how many ways can 5 boys and 4 girls be arranged on a bench if there is no restriction? How about…

A:

Q: If a club consists of 13 ​members, how many different arrangements of​ president, vice-president,…

A:

Q: If 4 men and 5 women are having lunch together (a) in how many different ways can they order 2…

A: 4 men and 5 women 2 chicken, 4 turkey, 3 vegan

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

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Q: If the chair of a math department has to appoint a committee of 4 professors from among the 10…

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Q: If a club consists of 15 ​members, how many different arrangements of​ president, vice-president,…

A:

Q: If there are 10 people and only 6 chairs are available, in how many ways can they be seated?

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Q: In how many ways can a committee of four be chosen from five married couple if the committee must…

A: Five married couple that means number of men = 5 and number of women = 5  Here given condition…

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.