Make a tree diagram to show all the possible sequences of answers for three multiple choice questions, each with 4 possible responses.

Q: How many possible meals are there?

A: here use fundamental of counting principle   The school canteen offers the following choices for…

Q: Construct a tree diagram showing all possible results when three coins are tossed.Then list the ways…

A: Given: 3 coins are tossed.

Q: List all the ordered arrangements of 4 objects 1, 2, 3, and 4 choosing 3 at a time without…

A: 4 objects are 1,2,3,4 If we have to choose 3 out of 4 (without repetition) Then, First object can be…

Q: A car dealership offers 10 different upgrades with each of the vehicles it sells. If a customer can…

A: Given data; A car dealership offers 10 different upgrades with each of the vehicles it sells.  To…

Q: How many ordered lists are there of three items chosen from four? ?ordered lists

A: According to the problem, we have

Q: A Zoom class has 48 students, and for an in-class activity they will be going into breakout rooms in…

A: a) The number of different breakout room assignments if the breakout room numbers matters is,…

Q: how many ways are there to pick the set of people who are interviewed

A: We have given that  Total number of applicants = 50 After reduced the number of candidates than the…

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: How many ways can a group of eleven golfers tee off in succession?

A:

Q: In a lottery game, a player picks 9 numbers from 1 to 49. How many different choices does the player…

A: From the provided information, A player picks 9 number from 1 to 49. Total number = 49

Q: A book club offers a choice of 5 novels from a list of 10. How many 5-novel selections can be made…

A: From the provided information, A book club offers a choice of 5 novels from a list of 10.

Q: Use a tree to solve: 60% of GateWay students are female. If 51% of female students are 25 years old…

A:

Q: How many ordered lists are there of three items chosen from ten? ? ordered lists

A:

Q: A swimming coach needs to choose a team for a relay race. The coach must select 4 of 6 available…

A: Given,no.of swimmers=6

Q: How many ordered lists are there of eleven items chosen from fourteen?

A: Ordered lists are the lists in which position of each one matters  This can be solved by using…

Q: A book club offers a choice of 2 books from a list of 20.  In how many ways can a member make a…

A: Since the order of the books matters so we will use the permutation method here.  There are total 20…

Q: A musician plans to perform 9 selections. In how many ways can she arrange the musical selections?

A: Given A musician plans to perform 9 selections

Q: How many ordered lists are there of three items chosen from six? ordered lists

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Q: How many ordered lists are there of seven items chosen from twelve?

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Q: How many ordered lists are there of two items chosen from twelve?

A:

Q: What does the numbers mean in a 40;20;10; sequence or a 10;40;20; sequence?  Is the 40, the number…

A: Given: The first sequence is: 40;20;10 The second sequence is: 10;40;20; We have to determine that…

Q: Find the number of ways in which nine contestants can be ranked first, second, third, fourth and…

A:

Q: Every seventh customer entering a shopping mall is asked to select his/her favorite store.

A: Cluster sampling - It involves the process of sampling intact groups not individuals, within the…

Q: At a corporation, an employee can build a computer system using one of four monitors, one of two…

A:

Q: In a lottery, six numbers are randomly chosen from the set {1, 2, 3, ... 49}, so there are possible…

A: Hint: It is given that there are 1,2,...49 numbers. We are choosing 6 numbers from it. Now, obtain…

Q: If you can choose one item from a group of M items and a second item from a group of N items, then…

A: we have chose 1 item from a group of M items  and second item from a group of N items

Q: When rolling an eight sided die, and a four sided die, how many possible combinations are there?…

A: The first dice is eight sided and the second dice is four sided. therefore, for the first dice, the…

Q: There are five multiple choice questions on an exam, each with five possible answers. Determine the…

A: There are 5 multiple choice questions on an exam, each with 5 possible answers. Each question has 5…

Q: f there are eleven​multiple-choice questions on an​ exam, each having three possible​ answers, how…

A: Given that  Number of multiple choice questions in exam (n) = 11  Each question has 3 possible…

Q: How many ordered lists are there of seven items chosen from eight? ordered lists

A: Given n=8 r=7

Q: Find the number of different ways that a family of 6 can be seated around a circular table with 6…

A:

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 school group is deciding how to line up its 10 members for a photo. The president will go first.…

A:

Q: There are 24 students in a math class. How many ways are there to select 3 students for a group…

A: There are 24 students in math class.  We have to find number of ways to select 3 students for group…

Q: A new employee has a choice of 5 health care plans, 3 retirement plans, and 2 different expense…

A: Introduction: According to the combination rule, if r distinct items are to be chosen from n items…

Q: how many ordered lists are there of three items chosen from six ?

A:

Q: in a horse race how many different finishes amongst the first three places if 16 horses are running?

A:

Q: A class has 10 students. How many choices for a president and a vice president are possible?

A: The number of total student are 10.

Q: Create a tree diagram to show the possible answer combinations of the first three questions on the…

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Q: The “Top Three” at a racetrack consists of picking the correct order of the first three horses in a…

A:

Q: A track race has 6 participants. In how many orders could the runners possibly finish

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Q: If 5 horses are in a race and they all finish with no ties, in how many ways can the horses finish…

A: Given information- We have given that 5 horses are in a race. They all finish the race with no ties.…

Q: select three (3) coins, but assume that there are 5 dimes, 4 nickels, and 2 quarters. In how many…

A:

Q: In a quiz that has ten multiple choice questions, each with three possible choices- What is the…

A: Given information No of questions = 10 Each has 3 possible responses For 10 questions, there are 3 x…

Q: A basketball coach is deciding on his starting five players. He has a roster of ten players to…

A:

Q: How many ordered lists are there of two items chosen from six?

A:

Q: How many ordered lists are there of three items chosen from four? ordered lists

A: Introduction: Basically A permutation is an arrangement of items in a specific direction or…

Q: An English class consists of 28 students, and five are to be chosen to give speeches in a school…

A:

Q: In a horse race, how many different finishes among the first 3 places are possible if 7 horses are…

A: There are 7 horses participating in the compitetion. We want to choose 3 horses.(As there are 3…

Q: If 5 cards were picked at random from a deck of 52 cards, find P(Exactly 2 are hearts)?

A: