At a corporate dinner, five people including the president and vice president are sitting around a circular table a) How many ways for these people to be seated around the table b) If the president and vice president should be seated next to each other c) If exactly one person seated between president and vice president

Q: A committee has 20 people.  In how many ways can a President, Vice-President, and Secretary be…

A: Note:  Permutation: We kno that, nPr represents the selection an ordered set of ‘r’ objects from a…

Q: During a birthday party, how many ways can five guests, both parents, and the birthday celebrant be…

A: Follow the steps.

Q: 2. In a group of 45 students, 23 take history, 18 take biology and 10 take both history and biology.…

A: Given :  Total number of students = 45 Number of students taking history = 23 Number of students…

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: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

A:

Q: A local city council is composed of two Democrats and three Republicans. In how many ways may they…

A: Answer: a. 120 waysb. 24 ways  Explanation:a. Since order doesn't matter, we will use the…

Q: A shopping center includes a grocery store and a drug store. One afternoon, a total of 200 people…

A: Total No. Of people = 200 Visited Grocery shop= 124 Visited Drug store =88  Visited both = 26 We…

Q: ple in a meeting. In how many ways can you arrange your participants (including you) around a…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…

Q: legislative committee consists of 5 Democrats and 6 Republicans. A delegation of 3 is to be selected…

A:

Q: are 12 members in the local garden club. In how many ways can a president and secretary be chosen…

A: According to the sum, There are 12 members in the local garden club.  A president and A secretary…

Q: Eight people are seated at a dinner table at a political function. How many ways can they sit if the…

A: NOTE-AS PER POLICY I HAVE CALCULATED FIRST PART PLZ RESUBMIT OTHER PARTS AGAIN   Here For Round…

Q: An organization consists of 20 members. They wish to select four officers; a president, a Vice…

A:

Q: The mayor, together with 4 of his councilors is holding a meeting with 6 city volunteers. How many…

A: It is given that the mayor and 4 councilors is to attend the meeting with 6 city volunteers.

Q: n a stock room of a car dealership, there are 4 red, 2 white, and 3 blue flags. There are three flag…

A: Given that there are a total of 9 flags with 4 red, 2 white, and 3 blue flags

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

A:

Q: 2)A class contains 18 girls and 14 boys. For all parts of this question, each boy and girl are…

A: Respected student, By policy of Bartleby we are solving your first 3 parts, Please repost other…

Q: A senate committee has six LP members and three UNA members. In how many ways can they be seated…

A: Given: 6 LP members 3 UNA members. Total = 9 members

Q: At a meeting between coworkers, the eight participants sit on a round table facing the beach. There…

A: Given: There are 8 participants 2 pairs are to be seated together

Q: A committee is to consist of three members. If there are six men and seven woman available to serve…

A: given, Number of men=6 Number of women =7 total number of men and women=6+7=13 A committee is to…

Q: A class of 40 students is to choose a set of classroom officers composed of the President,…

A: Permutation formula : nPr = n! /(n-r)!

Q: n a class of 280 first year students, 65 study only Spanish, 100 study Chemistry, 175 study…

A: Given: There are 280 students in a first year class. 65 students study only Spanish. 100 students…

Q: In how many ways can the Principal and the 8 Headteachers of the different departments be seated in…

A:

Q: how many ways can the committee be formed?

A: Given: 34 faculty members are present  We need to select a chair, vice chair , secretary and 5…

Q: A government office has four regional offices and 32 local offices. In how many different

A: Given that A government office has 4 regional office and 32 local office

Q: How many ways can 10 people (Luffy, Zoro, Nami, Usopp, Sanji, Chopper, Robin, Franky, Brook, Jimbei)…

A:

Q: 9.) There are 347 NCAA teams today. a.) How many ways can there be to get the top 10 winners? b.)…

A: GIven, There are 347 NCAA teams today. n = 347     Formulae: Permutation: Prn = n!(n-r)!Where,n =…

Q: in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves seated in a…

A: To find in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves…