How many different committees with 4 members can be formed from a group of 9 students? (Order is not important.)

Q: Fifteen books are to be places in a shelf. The 15 books are composed of: 6 math books, 5 science…

A: Given information: No. of math books: 6No. of science books: 5No. of english books: 4Total no. of…

Q: there are 11 members on a board of directors. if they must form a subcommittee of 6 members, how…

A: we use the formula nCr = n!/(n-r)! * r!

Q: Ryan is putting 12 colored light bulbs into a string of lights. There are 6 pink light bulbs, 2 red…

A: Permutation:Let there be 'n' things that are to be arranged, out of which p,q,r  are identical . And…

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: In the local boating pond there are 11 plain wooden boats, each with a different number. The owner…

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Q: Mr.Jarvis teaches a science class with 16 students. Jarvis must select a delegation of 5 students to…

A: Given that Mr. Jarvis teaches a science class with 16 students. Jarvis must select a delegation of 5…

Q: From a group of 11 Democrats and 9 Republicans, a Social Justice committee of 6 must be chosen…

A: Note: We are required to answer only first 3 subparts, unless specified. Given: Number of Democrats…

Q: How many 7-member committees could you form from a set of 10 people?

A: Given: Total number of individuals=10Number of members to be taken in 1 committee=7

Q: How many 7-member committees could you form from a set of 9 people?

A: There are total 9 people.  We have to select 7 people from them. Since we are forming a committee,…

Q: A club has 35 members, 8 of whom are Civil Engineers. In how many ways can a committee of 4 be…

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Q: there are 11 members on a board of directors. if they must form a subcommittee of 6 members, how…

A: we use the probability for selections formula, nCr = n!/(n-r)! * r!

Q: How many different committees of 3 people can be chosen from a group of 8 people?

A: Total number of people in the group are 8. Total number of people for the committee is 3.

Q: A club with 28 members is to select five officers (president, vice president, secretary, treasurer,…

A: Total members=28

Q: A committee is to be formed consisting of 4 men and 5 women. If the committee members are to be…

A: Answer  Given  A committee is to be formed consisting of 4 men and 5 women. If the committee members…

Q: How many different committees of size  3  can be formed from  15  people?

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Q: How many different committees can be formed from 11 teachers and 42 students if In how many ways can…

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Q: Your class of 15 students has assigned a group project. You must break up into three groups of five…

A: Formula:   If there are n objects. If there are k1 of type 1, k2 of type 2 and so on km of type m…

Q: A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be…

A: Number of ways of selecting 6 people of committee  from the group of 20 people will be:

Q: There are 20 members of the debate team, including 9 girls and 11 boys. Complete parts (a) through…

A: Given 20 members=9 girls and 11 boys  r!=r(r-1)(r-2)x...x3x2x1

Q: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party Each…

A: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party.

Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

Q: How many ways are there to select the 5-person committee such that exactly 3 local business owners…

A: It is given that Total persons = 20 Number of homeowners = 11 Number of local businesses owners = 20…

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: Fifteen books are to be places in a shelf. The 15 books are composed of: 6 math books, 5 science…

A:

Q: From a group of  13  people how many ways we can select a   (a) 3 Supervisor (b) 7 Technicians…

A: Given: Total number of people, n=13 It is known that the formula to find different combinations is,…

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

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Q: From a group of 7 men and 6 women, any five persons are to be selected to form a committee. In how…

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Q: On a business retreat, your company of 28 executives go golfing. a. You need to divide up into…

A: Solution:   The total number of distinct ways of arranging the letters of the word of length N…

Q: How many different committees of three persons each can be chosen from a group of twelve people?

A: Combination: A combination is a grouping or subset of items. for a combination, the order not…

Q: The president of the college asked a fraternity to submit a list of 7 students to serve as guides at…

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