A shipment of 25 television setscontains three defective units. In how many ways cana vending company purchase four of these units andreceive (a) all good units, (b) two good units, and (c) atleast two good units?

Q: |In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 9…

A: Combination is the arrangement of data without any order. It can arrange data from the sample from…

Q: In a shipment of 10 items where 3 are defective. In how many ways can you receive 4 items where 2…

A:

Q: a) Without restriction? b) With each person getting at least one pear?

A: The objective is to distribute eight (identical) apples, six oranges, and seven pears among three…

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. What must a plaintiff prove to get reimbursed by alleged defendant? an а. b. С. d.

A: There are 4 statements for the plantiff prove to get reimbursed by an alleged defendant These are…

Q: 3. In how many ways can a team of six be chosen from 20 players so as to (a) include both the…

A:

Q: An art collector , who owns 10 original paintings , is preparing a will . In how many ways may the…

A: Given, An art collector , who owns 10 original paintings , is preparing a will

Q: In how many ways can a group of five girls and five boys be lined up so that: (a) all the girls…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: In how many ways can the television director of Exer-cise 38 fill the six time slots for commercials…

A:

Q: (a) How many ways are there to distribute seven identical apples and six identical pears to three…

A: Given: To distribute seven distinct apples and six distinct pears.

Q: In how many ways can a comittee of 6 be chosen from 6 administrators and 4 supervisors if all are…

A:

Q: A food company is testing 4 chocolate chip​ cookies, 5 ​crackers, and 6 ​reduced-fat cookies. If…

A: Given : chocolate chip​ cookies : 4 crackers: 5 reduced-fat cookies: 6

Q: in 3 three-credit classes in 1 four-credit class Din 1 three-credit class C in 1 four-credit class

A: Given A student receives the following grades, with an A worth 4 points,  B worth 3 points, C worth…

Q: Suppose a car you want to buy has five choices for inte-rior colors, three types of radios, three…

A: Given Data: The number of choices for interior colours is: N1=5 The number of choices for radios is:…

Q: 2. In how many ways can twenty 1000-peso bills be given away to four of ten people where each of the…

A: Given information: Twenty 1000-peso bills Total number of people = 10 Number of people to be…

Q: In how many ways a team of 4 representatives can be chosen in a class of 12 students consisting of 5…

A:

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

A:

Q: In how many ways can a president, a vice president, a secretary and at reasurer be elected from a…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

Q: 4. Your school is hosting a Mathletes competition in which senior and junior teams will be entering.…

A: Selection of x items from n objects can be represented by combination  Cxn and arrangement of same…

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: C & J Realty has received 12 inquiries from prospective home buyers. In how many ways can the…

A: Given: Each agent handles 4 inquiries and there are 12 inquiries.

Q: A shipment of 10 television sets includes three thatare defective. In how many ways can a hotel…

A: Consider that the load is of 10 televisions and three of these are defective. Also, consider that…

Q: The 12 colleges of interest to a high school senior include 8 that are expensive​ (tuition more…

A: It is given that, 12 colleges of interest to a high school senior include 8 that are expensive​…

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: In how many ways can we distribute 10 indistinguishable oranges and 1 tangerine among 3 children…

A:

Q: In how many ways can first and second prize be awarded in contest with 100 people, assuming that…

A: There are 100 students in the contest.

Q: 6. From a pool of 10 candidates, a company has to choose a president, vice president and a…

A:

Q: A minority representation group accuses a major bank of racial discrimination in its recent hires…

A:

Q: How many ways can A, B, C, and D be arranged to the __ __ __ __ if D is restricted to the third and…

A: Let A,B,C and D be the four letters that we have to arrange. Given: D is restricted to the third and…

Q: In how many ways can a television director sched-ule a sponsor’s six different commercials during…

A: From provided information, a television director schedule a sponsor’s six different commercials…

Q: 2. A carton of 12 rechargeable batteries contains one that is defective. In how many ways can an…

A:

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

A:

Q: Consider a shipment of 50 laptops of which four are defective. A. In how many ways can we select…

A:

Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given,no.of dogs=3no.of cats=4no.of rabbits=4no.of pigs=2

Q: How many ways to distribute 10 pencils (indistinguishable), 15 erasers (distinguishable), and 20…

A: From the given information, Total number of person =10 Number identical pencils =10 Total number of…

Q: 2. In how many ways can six students be seated in a row of six seats if two of the students insist…

A: We have to arrange 6 students on 6 chairs in a row out of which 2 particular students sits beside…

Q: In how many ways can a hostess select six luncheon guests from 10 women if she is to avoid having a…

A: Combination and permutations

Q: 9. Concider a shipment of 50 laptops of which four are defective. In how many ways can we select…

A:

Q: If the NCAA has applications from six universitiesfor hosting its intercollegiate tennis…

A: a.)For the first year,the NCAA can select the host the event in any one of the 6…

Q: 7. How many ways are there that in a class of 60 students, 2 students will not have the same birth…

A: Here Given 60 Students  Now Assume that there is 365 Days in one year

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 a shipment of 22 smartphones, 3 are defective. How many ways can a quality control inspector…

A: Given that In a shipment of 22 smartphones, 3 are defective.

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: a town of 3,000 people, 600 are over 50 years of age and 400 are left-handed. It is also known that…

A:

Q: Given six distinct pairs of gloves, 12 distinct gloves in all, how many ways are there to distribute…

A:

Q: A cookie jar contains 10 cookies - 4 are chocolate chip, 3 are almond, 2 are oatmeal and 1 is a high…

A: Answer -  Total cookies = 10  Chocolate chips = 4 almond = 3 oatmeal = 2  high fibre cookie = 1

Q: Consider a shipment of 50 laptops of which four are defective. B. How many ways can we select four…

A:

Q: 1) The rabies vaccine for dogs can save your dog's life. If your dog bites another animal or is on…

A: Solution: Given information: p= 0.95  Population proportion   The hypothesis can be classified into…

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…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.