A carton of 16 hair dryers contains three which have minor blemishes, with the others in perfect condition. In how many ways can a sample of four dryers be chosen so that all four will be in perfect condition; three will be perfect condition and one will have a minor blemish?

Q: it gets at least one of these two services from the company? (b) it gets exactly one of these two…

A: Here use venn diagram

Q: Both of my friends Abu and Deps will be part of the group? Only one of them will be part of the…

A: Here use combination for given problems

Q: A box of 15 spark plugs contains three that are faulty. In how many ways can 4 spark plugs be…

A: As per our guidelines we are suppose to answer three sub parts.  Given,Total no.of plugs=15no.of…

Q: Suppose that 50 people buy raffle tickets. a. In how many ways can 4 people who bought tickets be…

A: a) If each is to receive a $20 gift certificate to a restaurant then the arrangement does not…

Q: A machine puts out 16 imperfect articles in a sample of 500. After the machine is over-hauled, it…

A:

Q: Taehyung is joining the same flight as Namjoon and Yoongi. In his drawer, there are 7 identical…

A:

Q: the 5 selected people who can sit in the remaining seats is 21.

A: there are 5 seats left for watching a movie, that 7 people have come to sit on those seats. If it is…

Q: Again consider a Little League team that has 15 playerson its roster.a. How many ways are there to…

A: Consider the number of players in the little league team is 15.15C9 Then, the number of ways to…

Q: How many different committees of 6 can be selected from 12 seniors and 20 juniors if the committee…

A: Given: Number of seniors (s)=12number of juniors (j)=20number of committee members(n)=6

Q: Suppose there are 14 boys and 6 girls in a classroom. A teacher randomly selects 5 students from the…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…

Q: A box contains 16 computer disks, 4 of which are known to have bad sectors. In how many ways can 3…

A:

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: A box contains 15 balls in which seven are green and eight are yellow. If five balls must be drawn…

A: It is given that Number of green balls = 7 Number of yellow balls = 8 Total number of balls = 15…

Q: nd presently has 3 lots to build on

A: Given : a contractor builds homes of 6 different models and presently has 3 lots to build on.  we…

Q: A certain committee has organized a retreat for all couples, where the couples are to sit around a…

A: SolutionGiven A certain committee hasorganised a retreat for all couples, wherethe couples are to…

Q: A sales assistant is hanging  11  sweaters on a rack. He has  5  green sweaters,  3  pink sweaters,…

A: In how many distinct orders can the sweaters be arranged if two sweaters of the same color are…

Q: An jar contains 4 orange​, 6 ​green, and 3 purple necklace charms. In how many ways can 3 necklace…

A: It is given that the A jar contains 4 orange​, 6 ​green, and 3 purple necklace charms. So that the…

Q: If 4 marbles are picked randomly from a basket containing 5 blue marbles and 8 yellow marbles, in…

A: This is the problem of combinatorial.

Q: Suppose 7 of the 15 players are left-handed. How many ways are there to select 3 left-handed…

A:

Q: From a group of 8 men and 6 women, six persons are to be selected to form a committee so that at…

A: Given information 8 men and 6 women Six persons are to be selected to form a committee

Q: At a baby shower 17 guests are in attendance and 5 of them are randomly selected to receive a door…

A: Combination Rule: The arrangement of r objects from n different objects is given by: nCr=n!r!n-r!

Q: a contractor builds homes of 9 different models and presently has 3 lots to build on. In how many…

A: Given: A contractor builds homes of 9 different models and presently has 3 lots to build on.

Q: In how many ways can they line up so that no two geese are standing next to one another? (There is…

A: There are 10 ducks and 6 geese.

Q: Jake had a bag of 50 beads, of which some are red and some are the remaining are yellow. Jake…

A: Consider the provided question, Given, Jake had a bag of 50 beads in which some red and remaining…

Q: A shipment of 40 computers are unloaded from the van and tested 6 of them are defective In how many…

A: We will find out the required number of ways.

Q: In how many ways can a person select seven party guests from 12 women if he is to avoid having a…

A:

Q: an insurance agent has a list of 7 prospects and decides to telephone 5 of the prospects today and…

A: Firstly, find the number of different ways in which the agent can telephone the 5 prospects today.…

Q: Suppose that there are eight runners in a race. The winner receives a gold medal, the second place…

A: Given Suppose that there are eight runner in a race . The winner receives a gold medal the second…

Q: In a group of n women and n men, how many people must be selected at random from the total 2n…

A:

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: In a particular lottery, 8 winning numbers are drawn from a group of 53 numbers. The order that the…

A: Total numbers of lotteries are 53. The total winning number are 8.

Q: 8. In a fruit feast among 200 students, 88 chose to eat durians, 73 ate mangoes, and 46 ate litchis.…

A:

Q: A class survey found that 28 students watched television on Monday, 25 on Tuesday, and 24 on…

A: Given The number of a student who was Stevie according to the day in the three day of week. We need…

Q: A TV game show selects four contestants from an audience of 26 people. If the same 26 people showed…

A: Given: Total number of people=26Number of people selected=4 The permutation formula is applied when…

Q: A committee of 5 consisting of 3 girls and 2 boys is to be chosen from a class with 15 girls and 10…

A: Given: Total Number of Girls=15Total Number of Boys=10Commitee required 5 candidate in whichNumber…

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: A teacher is assigning one each of the letter grades A, B, C +, C, C-, and F to the 6 students. If…

A: There are 6 grades and 6 students.  The first student can get a grade in 6 ways. The second student…

Q: There are 2 blue and 4 yellow cars to be parked in a row of 10 parking bays. Assume that cars of the…

A: The number of blue cars are 2. The number of yellow cards are 4. The number of park bays are 10.

Q: A student taking an examination is required to answer exactly 10 out of 15 questions. in how many…

A:

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: A carton of 10 hair dryers contains four which have minor blemishes, with the others in perfect…

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

Q: In how many ways can a committee of 9 students be chosen from 8 juniors and 10 seniors if there must…

A: NOTE*** As per bartleby guidelines for more than one question asked only first to be answered, send…

Q: A bag contains pieces of 6 different types of candy. If the bag has 85 pieces in total, how many…

A: Explanation:Here givens the 85 prices 6 types of different candys and finally how much randomly…

Q: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at…

A:

Q: many permutations can be formed with two types of objects with n objects of type 1 and n^2 objects…

A:

Q: assume that there 6 fire stations that need new chiefs and 13 qualified candidates. In how many…

A: There are total 13 qualified candidates.

Q: A shipment of 40 computers are unloaded from the van and tested. 6 of them are defective. In how…

A:

Q: From a group of 10 men and 12 women, only 5 will randomly sit down in a row of 5 chairs. How many…

A: Solution :-

Q: 32. A track coach must choose a 4-person 400 m relay team and a 4-person 800 m relay team from a…

A:

Q: In a class of 16 students, there are 6 male students and 10 female students. In how many ways can…

A: Note: Since, you haven't mentioned. For which question you would like to get answered. Here we are…

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.