there are 4 districts and 9 individuals available to carry out the survey. Assuming that no one surveys more than one district and each district is surveyed once, how many different assignments of survey takers to districts are possible?

Q: Three research departments have 6, 10, and 9 members, respectively. Each department is to select a…

A: Given 3 research department having members 6, 10 and 9 respectively. We are about to chose a…

Q: Three research departments have 8, 7, and 6 members, respectively. Each department is to select a…

A: For Que 1: The first department has 7 choices for the delegate and then 6 choices for the alternate,…

Q: a blood​ drive, 6 donors with type O+ ​blood, 5 donors with type A+ ​blood, and 2 donors with type…

A:

Q: A student is given a reading list of ten books from which he must select four an outside reading…

A: The total number of books in the reading list is 10. The student has to select 4 books out of 10…

Q: Suppose 84% of students chose to study Spanish their junior year, and that meant that there were 378…

A: Then,

Q: assume that there 8 fire stations that need new chiefs and 12 qualified candidates In how many…

A: Given that, There are 8 fire stations Number of qualified candidates = 12

Q: At a blood drive, 6 donors with type O+ blood, 5 donors with type A+ blood, and 3 donors with type…

A: Given that, 6 donors with O positive blood 5 donors with A positive blood 3 donors with B positive…

Q: If 5 out of 7 students at a college are full-time students, what is the enrollment at the college if…

A:

Q: The football team consists of 15 members. In how many ways can a playing team of 11 players be…

A: = 1365Hence, there are 1365 ways to form a football team with 11 players from 15 players.

Q: assume that there 8 fire stations that need new chiefs and 12 qualified candidates. In how many…

A: We have to find  number of ways..

Q: Three research departments have 8, 7, and 6 members, respectively. Each department is to select a…

A:

Q: At the horse races (with ten horses competing), in how many ways can the top three places be…

A: Permutation: The number of different arrangements of ‘r’ elements from a set of‘n’ elements is…

Q: Three research departments have 8, 7, and 9 members, respectively. Each department is to select a…

A:

Q: A student is given a reading list of eight books from which he must select two for an outside…

A: A student is given a reading list of eight books from which he must select two for an outside…

Q: How many ways are there to select 9 countries in the United Nations to serve on a council,if 3 are…

A: This question is related to permutations and combinations, we will solve it using given information.…

Q: Assuming that no one can hold more than one office, how many selections are possible?

A: select a president, vice-president, secretary, and treasurer out of a club with 15 members.  Here…

Q: If 162 strings of lights were disposed of last week because they were deficient, how many strings of…

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: If an event can be done in n different ways and if another even can be done in m number of ways,…

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: A shipment of 9 television sets includes three that are defective. In how many ways can a hotel…

A:

Q: A sporting goods store has thirteen lines of snow skis, eight types of bindings, eight types of…

A: Consider the given information:  There are 13 snow skies, 8 bindings, 8 boots and 4 types of poles.…

Q: There are 4 districts and 7 individuals available to carry out the survey. Assuming that no one…

A: There are 4 districts to be surveyed. There are 7 individuals available to survey the districts. The…

Q: From the 11 male and 11 female sales representatives for an insurance company, a team of 4 men and…

A: From the 7 male and 6 female sales representatives for an insurance company, a team of 2 men and 2…

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

A:

Q: assume that you have a committee of 8 members, and that you must choose a chairperson, and…

A: Given data: Assume that you have a committee of 8 members, and that you must choose a chairperson,…

Q: How many different eleven-member football teams can be formed from a possible 35 players if…

A: Total no. of possible players = 35 No. of players in a team=11

Q: Assume that a grade of A,B,C,D, or F is assigned to each of 9 students. In how many ways can grades…

A: From the provided information, The grades are A, B, C, D or F Total students = 9

Q: A softball league has eleven teams. If every te team once in the first round of league play, he…

A:

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: 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: If a board has 5 women and 4 men. How many ways can you form a committee containing 3 members such…

A: Given that a board has 5 women and 4 men. Now we want to form a committee containing 3 members such…

Q: If radio station call letters must begin with either the letter K or W and must include either two…

A: Given information Letter can start with letter K or W and include either two or three additional…

Q: A sailboat owner received 5 different signal flags with his new sailboat. If the order in which the…

A: Given A sailboat owner received 5 different signal flags with his new sailboat.

Q: If 4 out of 10 students at a college are full-time students, what is the enrollment at the college…

A:

Q: In a survey of 105 people, it was found that 40 have lived only in New York, 35 have lived only in…

A: Given, In a survey of 105 people, it was found that 40 have lived only in New York,  35 have lived…

Q: If radio station call letters must begin with either K or W and must include either two or three…

A: Multiplication Rule of Counting:If there are p selections for the 1st option, q selection for the…

Q: How many people used two modes of transportation if 1978 took public transit, 1494 drove, 818…

A: Given Information: People who took public transit = 1978 People who drove = 1494  People who cycled…

Q: an automobile that was tested for production defects, but assume that the number of production…

A:

Q: A particular brand of shirt comes in 12 colors, has a male version and a female version, and comes…

A: Here , particular brand of shirt comes in 12 colors. It has female version and male version. And it…

Q: Find the number of ways of selecting exactly one of the two best applicants in a selection of two…

A: Given problem Given that

Q: There are 12 eligible students where a delegation of 4 students is selected each year from a college…

A:

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: A shipment of 14 television sets includes three that are defective. In how many ways can a hotel…

A: As per our guidelines we suppose to do only one question1.GivenNo.of television =14No.of defective…

Q: Suppose 34% of students chose to study German their junior year, and that meant that there were 272…

A:

Q: A contractor builds homes of  11 different models and presently has 6 lots to build on. In how many…

A: We have to find the different ways can he arrange homes on these 6 lots...

Q: From a group of 18 customers, 4 are to be chosen to receive a special gift. Assuming that the order…

A: The number of groups of 4 customers can be chosen is,

Q: In a survey of university students, 64 had taken mathematics course, 94 had taken chemistry course,…

A: