If 8 boats enter a​ race, how many possibilities are there for the first through third place​ finishers?   ​(enter a whole​ number)

Q: Among 10 students , 4 of them will be selected for a project .in how many ways can they be selectes

A: In question, We have given that among 10 students , 4 of them will be selected for a project. The…

Q: calculate the number of ways that the first, second, and third place horses can finish in a race…

A:

Q: At a NASCAR racing event, how many different finishes among the first 5 places are possible if 30…

A:

Q: How many 4-letter “words” without repeated letters are possible using the English alphabet? (Assume…

A: Given that repetitions are not allowed. The first letter can be selected in 26 ways.  The second…

Q: In how many ways can 5 books be choosen from a group of nine? Your answer is : Question Help: DVideo…

A:

Q: In a horse race, how many different finishes among the first 3 places are possible if 12 horses are…

A: Finishes  among the first  3 places  are possibleif  12  horses  are running

Q: The Managing director of a company wishes to form a committee consisting of 4 members from a pool of…

A: We have to find no of different combinations possible.

Q: There are 14 standbys who hope to get a seat on a flight, but only six seats are available on the…

A:

Q: suppose 4 marbles are dawn from an urn containing 5 red and 4 blue marbles, and the number of blue…

A: The probability distribution is binomial. Probability of the marble being blue=49=0.444

Q: A 4-digit number is selected from the numbers {1,2,3,4,5,6} where the digits are selected without…

A: The digits available are 1, 2, 3, 4, 5, 6 Total number of digits = 6 A 4 digit number is to be…

Q: Suppose that 20 people enter a raffle. In how many ways can four different people among the 20 be…

A: Since the prize amounts are different, so we will have to use the Permutation method.  We can find 4…

Q: Yesterday, 15 employees in an office were absent. If these absentees constitute 30% of the…

A:

Q: How many numbers of 4 different digits, each greater than 5000 can be formed from the digits…

A:

Q: If 15 people start a race, in how many different ways can the top 3 finishers be determined?

A: Permutation:   It  is an arrangement of objects in a definite order where the order is important.…

Q: A trade union asks its members to select 4 people, from a slate of 9, to serve as representatives at…

A: Given : A trade union asks its members to select 4 people from slate of 9. To find : How many…

Q: Find the number of different ways that a family of 9 can be seated around a circular table with 9…

A:

Q: A four-person committee is to be elected from an organization's membership of 11 people. How many…

A: Formula used:  nCr=n!(n-r)!r!

Q: There are 12 qualified applicants for 5 trainee positions in a department store. How many different…

A: Given There are 12 qualified applicants for 5 trainee positions in a department store. This problem…

Q: are 12 members in the local garden club. In how many ways can a president and secretary be chosen…

A: According to the sum, There are 12 members in the local garden club.  A president and A secretary…

Q: How many different committees can be formed from 9 teachers and 35 students if the committee…

A: We can pick 2 teachers from 9 teachers in 9C2 = 36 ways. We can pick 4 students from 35 students in…

Q: Suppose that 9 horses run a race. How many first-, second-, and third-place finishes are possible?

A:

Q: Three members of a jury will be randomly selected from five people. How many different combinations…

A:

Q: If 5 people finish the whitewashing of a house in 3 days, in how many days will 3 people finish the…

A: Given, 5 people finish the whitewashing of a house in 3 days.       To find, How many days will 3…

Q: Suppose that 175 heads and 225 tails resulted from 400 tosses of a coin. Does this appear to be a…

A:

Q: Of 13 students in a class, 4 will be chosen to go on a field trip. How many different ways can they…

A:

Q: Suppose 58 cars start at a car race. In how many ways can the top 3 cars finish the​ race?

A: We have to find no of  ways can the top 3 cars finish the​ race...

Q: There are 25 students qualified to join the dance contest. In how many ways can 15 students be…

A: Introduction: A combination is a mathematical approach for calculating the number of potential…

Q: How many possible ways can the top 5 finishers come in during a race with 24 racers? Each place…

A: This is a permutation problem.   Out of the 24, there will be 5 racers in the top 5.

Q: A grocery pick-up service has 12 appointment openings one morning. If 8 customers have signed up…

A: Combinations: It defines the number of possible ways an object can be selected from a group. In…

Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7, and 9 which are divisible by 7…

A: Given:   Digits: 2 , 3 , 5 , 6 , 7 and 9 3-digit code  which divisible by 7 with no repetition of…

Q: In a horse race, how many different finishes among the first 3 places are possible if 18 horses are…

A: here given, Total 18 horse running we need different finish among top 3 . so here order is imporant.…

Q: Fifteen cancer patients volunteer for a clinical trial. Sic patients will receive a placebo and nine…

A:

Q: A 4-digit number is selected from the numbers (1,2,3,4,5,6} where the digits are selected withou…

A: As per given by the question, there are given the numbers {1,2,3,4,5,6} and from these number select…

Q: A computer operator must select 3 jobs from 11 available jobs waiting to be completed. How many…

A: A combination is grouping or subset of items. Also it is the selection of items in which order does…

Q: How many combinations are there of 26 letters taken items taken 2 at a time ?

A: The number of combinations  = nCr n : number of options available r : number of options to be…

Q: How many ways are there to select 3 candidates from 8 equally qualified recent graduates for…

A: Given that, there are 8 equally qualified recent graduates for openings in an accounting firm. i.e,…

Q: A coordinator will select 5 songs from a list of 14 songs to compose an events musical entertainment…

A: Numbers of different lineups are possible is obtained below: The permutation formula is shown below.…

Q: A 4-digit number is selected from the numbers †,2,3,4,5,6} where the digits are selected withou…

A: Available Digits : 2,3,4,5,6   a) 4 digits numbers  : For first digit 5 options available, for…

Q: How many 3-digit numbers with digits in {1,..., 9} (repeats allowed) are divisible by 9?

A: Given digits are 1,2,3,4,5,6,7,8,9. Make three digit numbers using the given digits. To find: The…

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

A:

Q: Determine the numbers of ways to deal 13 cards on the table having aces of diamonds and clubs from a…

A: GivenNo.of cards to deal on the table =13No.of Ace of diamond cards = 1No.of Ace of club cards = 1

Q: A coordinator will select 5 songs from a list of 10 songs to compose an event's musical…

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

Q: Assume that a bakery has 7 different types of cakes. How many different ways can 5 cakes of any type…

A: We have total 7 cakes  From the 7 cakes, we have to pick a group of 5 cakes. So the arrangement does…

Q: A 4-digit number is selected from the numbers {1,2,3,4,5,6}{1,2,3,4,5,6} where the digits are…

A:

Q: Three members of a committee will be randomly selected from five people. How many different…

A: We have to find number of different combinations possible.

Q: A five-person committee is to be selected from an organization's membership of 19 people. How many…

A: It is given that, An organization has 19 people out of which 5 person committee is to be selected.…

Q: . Assume that a class of 16 students is supposed to write an essay. If 3 essays are randomly…

A: There are total 16 student in total who are supposed to write an essay. 16 students write 16 essay.…

Q: 9 athletes are to take part in a race. In how many ways can the first 5 places be filled?

A: Given: 9 athletes are to take part in a race To find the number of ways the first 5 places are…

Q: How many combinations are possible to select a student president, vice president and treasurer among…

A:

Q: How many positive integers not exceeding 100 are divisible by 5 or 7?

A:

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.