In how many ways can 3 boys and 3 girls be seated at a round table if a.     without restriction b      2 particular people must not sit next to each other c.      boys and girls are alternating

Q: An academic building consists of three floors. There are 10 offices on each floor including 3 corner…

A: In mathematics, a permutation of a set is, loosely speaking , an arrangement of its members into a…

Q: A committee of 5 delegates is to be chosen from a group of 17 delgates, 10 of whom are women. If at…

A:

Q: A store collected the following information on its 33 employees ... Of these employees , 9 cooked…

A: Given, Total no. of employees = 33 No. of employees cooked food = 9 No. of employees washed dishes =…

Q: (a) How many different samples are possible? (b) How many samples of five contain exactly one…

A: Since , there are 140 chips of semiconductor and 10 chops do not confirm to customer requirements.…

Q: Q: On how many nights may a watch of 4 men be arranged by a security ag ency from a crew of 16 so…

A: Given:       Number of nights in which no two nights have same group of 4 men…

Q: 1. Fifteen students ask to visit the Office of Admissions of CSU. Each visit includes one student.…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: . A student council consists of 8 students, with 3 women and 5 men. a. In how many ways can a…

A: Q c asked and answered.

Q: A sports team has 4 distinct positions. Out of 10 players, how many starting teams are possible if…

A:

Q: 12) From a committee of 1O, how many ways can we select a President, Vice President, and Secretary?…

A: From a committee of 10, how many ways can we select a president, vice president andand secretary.

Q: 10. In how many ways can 3 men and 3 women be seated at a round table if (a) no restriction is…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (b) Every student in a discrete math class is either a computer science or a mathematics major or is…

A: The union of events A and B is defined as n(A ∪ B) = n(A)  + n(B) – n(A ∩ B).

Q: In a group of 28 employees, 11 take public transit while 10 drive to work. 9 employees from this…

A: As per our guidelines we are suppose to answer three sub parts .Given,no.of employees take public…

Q: 7 Assume that the student has a cup with 6 writing implements: 3 pencils, 2 ball point pens, and 1…

A: Given that a student has a cup with 6 writing implements :3pencils,2 ball point pens and 1 felt -tip…

Q: How many ways are there to select 7 countries in the United Nations to serve on a council, if 2 are…

A: Disclaimer: Since you have posted multiple questions, we will solve first question for you. If you…

Q: A committee of four is to be selected from a group of fourteen people. How many different committees…

A: Out of 16 members, a committee of 4 members can be selected as follows: Thus, 1820 different…

Q: A survey of 310 adults found that during the last year, 90 traveled by plane but not by train, 75…

A:

Q: In how many ways can president, vice-president, and secretary be chosen from a group of 20 people,…

A: Ways of selecting some fixed number of people from given set of number is done by simp0le counting.…

Q: In how many ways can BSU cooperative with 10 Board of directors choose a chairman, vice chairman,…

A: Remark: We know that the number of different permutations of n distinct elements taken r at a time…

Q: How many ways are there to win first, second, and third places in a rally with 14 cars, provided…

A: The number of cars in the rally is 14. The first place can be chosen in 14 ways. Since one car has…

Q: A sports team has 4 distinct positions. Out of 10 players, how many starting teams are possible if…

A: Combination is the arrangement without considering the order while permutation of a number of object…

Q: The number of ways in which a committee of 6 members can be selected from 6 male and 4 female…

A: We have given that 6 male and 4 female parliamentarians. And we need to select 6 members for…

Q: Eleven graduate students have applied for two available teaching assistantships. In how many ways…

A: In this problem order for the selection is not mentioned therefore we can use combination for award…

Q: 5. Of a company's personnel, 7 works in design, 14 in manufacturing, 4 in testing, 5 in sales, 2 in…

A: (a) Obtain the number of different committees that can be formed as follows.

Q: a.How many different groups of candidates can be formed? b.How many different groups of candidates…

A: We have given that the pool of qualified candidates for 6 positions is made up of 10 women and 6…

Q: 1) A committee of 5 is to be selected from a group of 7 men and 6 women. How many different|…

A:

Q: In how many ways can a subcommittee of 8 students be chosen from a committee which consists of 14…

A: "Since you have asked multiple questions, we will solve first question for you. If you want any…

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Dear students as per guidelines we answer the first three subparts only.   Solution

Q: A committee of four is to be selected from a group of seventeen people. How many different…

A: Introduction: Total number of people available is 17. Total number of people to be selected for the…

Q: 22 The parent-teacher's association committee of a school consisting of 6 members is to be formed…

A: We have to apply the concept of combinations to find the number ways in each cases.

Q: Assume that the student has a cup with 6 writing implements: 3 pencils, 2 ball point pens, and 1…

A: 1) According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A survey of 305 adults found that during the last year, 75 traveled by plane but not by train, 75…

A:

Q: A particular American football play has eleven players: one quarterback, one running back, one…

A: Given data: A particular American football play has eleven players: One quarterback, one running…

Q: A clothing store has a certain shirt in 4 sizes: small, medium, large, and extra-large. If it has 2…

A: Given Information -  The clothing store has shirts in 4 sizes: small, medium, large, and…

Q: How many seating arrangements can be formed if by seating A,B,C,D,E in a row: If A,B,C sit together…

A: Given information: As per guidelines we will only answer the first three subparts, please repost…

Q: A rental car company has 14 available cars while on its lot and 3 customers waiting in the office.…

A:

Q: A  commitee of 2 teachers is to be formed in a school such that there is one male and one female…

A: We can pick a female teacher from 12 female teachers in 12 ways.  We can pick a male teacher from 15…

Q: 2. A footbal! team of 11 players is to be selected from short list of 16 players. Find the number of…

A: Given: Number of players = 16 Number of players selected = 11

Q: Given 9 different types. of ice cream: 4 with chocolate chip, 4 with sprinkles, and 3 with both, how…

A: solution:Given9 different type of icecreamchocolate chips=4sprinkles=4chocolate chips and sprinkles…

Q: A committee of four is to be selected from a group of twenty people. How many different committees…

A:

Q: 1. There are 15 men and 18 women who belong to a club. An executive panel consisting of a president,…

A: There are 15 men and 18 women. We want to select 4 people out of 33 peoples. ( i ) with no…

Q: How many different arrangements are there for placing identical coins into three different piggy…

A:

Q: 1. A local community group in Seri Iskandar called Pusat Kebudayaan Sejahtera Insan (PKSI) is…

A: Given There are 3 sporting events for its members to participate The sporting events are called…

Q: 10. A committee of gize 6 is being formed from a group of 10 Republicans, 8 Democrats and 4…

A: Given,no.of Republicans=10no.of Democrats=8no.of independents=4total no.of peoples=22

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: From a group of 5 men and 4 women, 3 persons are to be selected to form a committee so that at least…

A: Determine the number of ways that at least 2 men are there on the committee. The number of ways that…

Q: Given a class of 12 girls and 10 boys. In how many ways can a committee of five consisting of at…

A: Given aclass of 12 girls and 10 biys

Q: (a) In PMAS-UAAR, out of 5 professors and 7 lecturer, a committee consisting of 2 professors and 3…

A: Given, No. of professors=5 No. of lecturers=7 A committee consists of 2 professors and 3 lecturers…

Q: 1. In how many ways can the position of president and secretary of an organization be  filled if…

A: HERE AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS  here use counting Principle  there are total 4…

Q: In how many ways can the hosts of the ASEAN Summit choose the main judge, secondary judge, and…

A: The multiplication principle states that if a task is completed in multiple steps, then the number…