A carton of 10 hair dryers contains four which have minor blemishes, with the others in perfect condition. In how many ways can a sample of three dryers be choosen so that one will be perfect condition and two will have a minor blemish?

Q: In how many ways can a party of 5 persons arrange themselves in a row of 5 chairs?

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Q: A jar contains 5 white balls, 8 black balls, and 6 red balls. In how many ways can 5 balls be…

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Q: From a group of 7 men and 6 women in a firm, five persons are to be selected to form a committee for…

A: GivenNumber of men in a firm = 7Number of women in a firm = 6Number of people to be selected in a…

Q: There are 6 girls and four boys in a class. 3 students are to be chosen at random so as to be…

A: From the given information,   There are 6 girls and four boys in a class. 3 students are to be…

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

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Q: A track and field event has eight entries.  Assuming that there are no ties, how many different…

A: It is given that, A track and field event has eight entries. And We are assuming that there is no…

Q: Your bowl contains 7 red balls, and 5 blue balls, and you draw 4 balls. In how many ways can the…

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Q: 5. Among a set of 6 red ball and 5 green balls, how many selections of 4 balls can be made such that…

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Q: A carton of 16 hair dryers contains three which have minor blemishes, with the others in perfect…

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Q: Three adults and five children are seated randomly in a row. In how many ways can this be done if…

A: Option(1) is correct

Q: In a box, there are 5 large yellow marbles, 3 small yellow marbles, and 24 white marbles. How many…

A: Introduction -  Probability = Favorable outcomes total number of outcomes

Q: Your bowl contains 5 red balls, and 8 blue balls, and you draw 4 balls. In how many ways can the…

A: Consider the given statements,Determine in how  many ways can the selection be made so that at least…

Q: In how many ways can a party of 7 persons arrange themselves in a row of 7 chairs?

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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: 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: 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: 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: From a group of seven people, two individuals are to be selected at random. How many selection are…

A: A group of seven people. Two individuals are to be selected at random.

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: How many different signals can be made using AT LEAST 4 distinct flags if there are 7 different…

A: Solution:  Different signals can be made using; AT LEAST 4 distinct flags if there are 7 different…

Q: Suppose that jurors are selected randomlyfrom an adult population. What is the proability that all…

A: Given data, n=12 p=80%=0.80 P(X=12)=?

Q: In a shipment of  59 vials, only 14 do not have hairline cracks. If you randomly select 2 vials from…

A: Given that  Number of vials (n) = 59 Vials do not have hairline cracks = 14 Vials having hairline…

Q: Suppose there are 14 men and 6 women in an office. A CEO randomly selects 5 workers from the office…

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Q: Assume that you have 8 dimes and 4 quarters (all distinct), and you select 3 coins. In how many…

A: The number of dimes is 8 and the quarters is 4.

Q: Among a set of 5 black balls and 5 red balls, how many selections of 5 balls can be made such that…

A: From the given information, there are 5 black balls and 3 red balls. Total number of balls is 5+3=8…

Q: he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to…

A: Given Number of zinfondel bottles z=11 Number of Merlot bottles m =7 Number of cobernet bottles c=13…

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: In a state lottery five balls are drawn at random and without replacement from a cage containing 66…

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Q: In a shipment of  62 vials, only 14 do not have hairline cracks. If you randomly select 3 vials from…

A: The number of vials is 62. The number of vials selected randomly is 3.

Q: How many 6-member committees with at least 4 men, can be selected at random from a group of 6 men…

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Q: Suppose the board consists of 5 men and 5 women and that the committee consisting of 7 board members…

A: Given that  Number of men = 5 Number of women  = 5 Committee consists of 7 board members.

Q: A certain lottery has 29 numbers. In how many different ways can 6 of the numbers be​ selected?…

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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: Your bowl contains 6 red balls, and 7 blue balls, and you draw 4 balls. In how many ways can the…

A: Given: Bowl contains 6 red balls, and 7 blue balls. We have to draw 4 balls. The number of ways in…

Q: 2. Show that the combination of choosing r items from a set of n items has the same possible…

A: Combination can be defined as the number of ways of merging things disregarding of their orders.  It…

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

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Q: There are 10 defective light bulbs in a bin containing 25 light bulbs. In how many ways can you…

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Q: A box contains 4 black, 2 red and 3 white marbles. In which of the following ways is it correct to…

A: Given: A box contains 4 black, 2 red, and 3 white marbles, and 4 balls are selected from this box. 4…

Q: A license plate begins with three letters. If the possible letters are A, B, C, D and E, how many…

A: Permutation is used to find the possible arrangements in an experiment where the order of…

Q: there are 4 districts and 9 individuals available to carry out the survey. Assuming that no one…

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Q: Five cards are selected out of 52. In how many different ways can this be done if: they contain at…

A: If ways of occurrence of 1st event is m  And ways of occurring of the second event is n  And if both…

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: A class survey found that 31 students watched television on Monday, 29 on Tuesday, and 29 on…

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Q: A four-of-a-kind hand is a selection of five cards from a standard 52 card deck consisting of four…

A: A four of a kind hand is a selection of five card from a standard 52 card deck consisting of four…

Q: Find the number of ways 66 identical coins can be separated into three nonempty piles so that there…

A: GivenTotal number of identical coins =66Total number of piles =3 Each pile is on empty and the…

Q: Assume that when adults with smartphones are randomly selecte than 3 of them use their smartphones…

A: It is given that, 46% adults use smartphone in meetings or classes i.e. P(Using smartphone) = p=…

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 :-

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.