4. What is the number of different ways to divide a group of 20 people equally into 2 sub-groups?

Q: 38. How many different committees can be formed from 5 professors and 15 students if each committee…

A:

Q: 3. In how many different ways can the director of a design and structural department choose 2 Civil…

A: Given: Number of applicants for Civil Engineers is, n(C1)=7. Number of required for Civil Engineers…

Q: In how many ways can 12 students be partitioned into 3 teams so that each team has 4 members.

A:

Q: 8. In how many ways can a committee of three faculty members and two student selected from seven…

A: We have to make a committee of three faculty members and two students. We have to select from seven…

Q: How many ways can you choose 3 distinct groups of 3 students from total 9 students?

A:

Q: 36. In how many ways can 3 Americans, 4 Frenchmen, 4 Danes, 5 Filipinos and 2 Italians be seated in…

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Q: 3) In how many ways can three bracelets be selected from a box of ten bracelets?

A:

Q: 3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1*, 2nd and 3rd…

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Q: 10. In how many ways can you line up 5persons to get on a bus?

A: Given problem Given that   10) In how many ways can you line up 5 persons to get on a bus ?

Q: 4) A newly formed company of 24 partners wants to select a President, Vice-President and Secretary.…

A: This Problem can be solved by permutation and combination. Permutation is number of possible…

Q: 8. a) Determine the total number of different Five-card hands that can be made from a standard deck…

A:

Q: 11. In how many ways can 4 boys and 5 girls sit in a row if the boys and girls must alternate?

A: Disclaimer: Since you have asked multiple questions, we will solve the first question (i.e. #11) for…

Q: 2. In how many different ways can they arrange to give everybody a chance to experience the ride?

A: Number of people=7, number of bike available=4. To find the number of ways of arrangements so that…

Q: 6. How many outfit combinations can be put together from 6 shirts, 3 pairs of pants, and 4 pairs of…

A: Total shirt = 6 Total pants = 3  Total shoes =4

Q: In how many ways can a committee of not more than 3 representatives be selected from a group of 16…

A:

Q: 7. In how many ways can a committee of three be formed from a group of 10 members?

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

A:

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: 19.In how many ways can 4 girls and 3 boys be arranged around a camp fire if the 4 girls must be…

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Q: 1. How many different committees of 3 chemists and 2 physicist can be formed from the 8 chemists and…

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Q: 4. In how many ways can eight beads be arranged in a bracelet?

A: We have to find number of ways...

Q: In how many ways can 7 students from a class of 28 be chosen for a field trip?

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Q: In how many ways can 5 red and 4 white balls be drawn from a bag containing 10 red and 8 white…

A: It is given that, a bag containing 10 red balls and 8 white balls. From this bag 5 red balls and 4…

Q: 1. In how many ways can a committee consisting of 3 men and 2 women be chosen from 7 men and 5…

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Q: 4. How many ways can 10 different action figures or toy soldiers be arranged on a shelf?

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Q: Suppose a club has 22 members.  How many ways can they form a 5-person committee?

A: Given:  A club has 22 members. We need to form a 5 person committee. We need to find how many ways…

Q: (1) How many ways are there to pick a 5–person basketball team from 14 possble players? (ii) How…

A: In this question, we have to use the method of permutation and combination to answer the following…

Q: 9. In how many ways can three boys can be seated on five chairs?

A: In question, We'll find the ways in which three boys seated on five chairs. The solution is below,

Q: 39. How many groups can be formed from  8 students taking at least 2 at a time?

A:

Q: 8. In how many ways can 4 girls and 5 boys sit in a row if the boys and girls must alternate?

A: (8) Number of girls = 4 Number of boys = 5 The arrangement of boys and girls must sit alternate in a…

Q: In how many ways can 12 people be divided into 3 groups where 4 persons must be there in each group?…

A: Solution: Given information: n= 12 Total number of people.  There are 3 groups each group has 4…

Q: Find the total number of ways to distribute 15 different candies equally 1. to Mr. Kim, Mr. King and…

A: As per the bartleby guidelines if more than one question is asked only one question is to solved.…

Q: 8 members of a wedding party are lining up in a row for a photograph. (1) How many ways are there to…

A: There are 8 members. They have to stand in a line for photograph. To find: a) Number of ways,…

Q: 5a. In a club consisting of 15 members, how many different ways can a 4-person committee where…

A: Determine the number of ways that a 4-person committee where everyone is considered equal. The…

Q: 6. How many ways can my daughter put 50 pairs of shoes on 4 dolls ?

A: It is given that, We have 50 pairs of shoes and there are 4 dolls. We know that if n object can be…

Q: 1) How many ways can 5 kids divide themselves into groups of two? 2) How about groups of three? 3)…

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Q: In how many ways can five people be divided into two groups of one person and one group of three…

A: Solution: Given data : Total people= 5 people in groups Two groups  of one people One group of three…

Q: In how many ways could 16 people be divided into five groups containing respectively 4,2,3,6 and 1…

A: There are totally 16 people in which divided into five groups containing respectively 4,2,3,6 and 1…

Q: 6. How many ways are there to select 3 candidates from 8 equally qualified recent graduates for…

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

Q: In how many ways can a committee of 12 men and 12 women be selected from a panel of 36 men and 40…

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Q: 2. In how many ways can the 7 Harry Potter books be arranged shelf? on a

A: The objective is to find the number of ways to arrange 7 Harry Potter books on the shelf.

Q: In how many ways can a committee of three men and four women be formed from a group of 12 men and 12…

A: given: Number of men = 12 Number of women = 12 The number of ways of choosing "r" from "n" is…

Q: 1. In how many ways can students in a college be classified according to year (1st to 4th) if there…

A: Given that 1. students in a college can be classified according to year (1st to 4th) if there are 10…

Q: 6) The ski club with twelve members is to choose three officers captain, co-captain & secretary, how…

A: To find the number of ways

Q: In how many ways can a committee of three men and four women be formed from a group of eleven men…

A: Given,no.of mens=11no.of womens=10

Q: 3. A blood bank needs twenty people to help with a blood drive. Twenty-five people have volunteered.…

A: Topic- Permutation and Combination

Q: In how many ways can a committee of 4 men and 5 women be formed from a group of 12 men and 8 ​women?

A: nCr=n!r!(n-r)!

Q: 1. In how many ways can 8 members of Board of Directors be chosen from 5 juniors and 7 seniors if…

A: Let us suppose there are three marbles viz. a red, a green and a blue. From these, there are three…

Q: In how many ways can 3 students be selected from a group of 12 students to represent a university in…

A: Given data: Total students = 12 3 students  selected  randomly To find: In how many ways can 3…

Q: In how many ways can a committee of four men and three women be formed from a group of eight men and…

A: