in when you use permutations to count things and when you use combinations to count things. Give an example of eac

Q: Decide if the situation involves permutations, combinations, or neither. Explain your reasoning. The…

A: The arrangements of distinct objects are measured by two ways, they are permutation and combination.…

Q: Critical Thinking You need to know the number of different arrangements possible for five distinct…

A: Permutation: The rule for permutations counts the number of different arrangements of r items taken…

Q: Produce the least positive number that is divisible by​ 2, 3,​ 4, 5,​ 6, 7,​ 8, 9,​ 10, and 11.…

A: Given Produce the least positive number that is divisible 2, 3,​ 4, 5,​ 6, 7,​ 8, 9,​ 10, 11.…

Q: A local brewey has 17 different beers on tap. How many ways can you order 6 pints? There are no…

A:

Q: There are X rows in an auditorium, and each row holds Y seats.  On how many ways may Z individuals…

A: The number of rows is X and the number of seats in each row is Y. We need to calculate the number of…

Q: Use the fundamental counting pinciple. Gina must write evaluation reports on 2 hospitals and 3…

A:

Q: A class of 25 students consists of 15 girls and 10 boys. A committee of five students is being…

A: A class of 25 students consists of 15 girls and 10 boys. A committee of five students is being…

Q: Marvin is designing a toilet. There are 5 different bathtubs and 2 different sinks to choose from.…

A:

Q: Find the number of combinations (subsets) of 9 things taken 5 at a time. The answer is combinations.

A: It is combinatorics.

Q: What is the difference between permutations and combination? Develop a mnemonic ( or something…

A: Permutation means arrangement of things or entities. The word arrangement is used, if the order of…

Q: There are ◻️different ways Kristen can rank the five investments. (Type a whole number.)

A:

Q: e new HGEES sports field is a rectangle, 100 yards by 40 yards, with a semicircle at each of the…

A: To calculate the area of the running track.

Q: Kristen's financial advisor has given her a list of 10 potential investments and has asked her to…

A: Since the order matters, the permutations should be used. The permutations formula is, Prn=n!n-r!

Q: A survey of 100 people showed that 24 own a car, 59 own a bicycle, and 17 own both a car and a…

A:

Q: Please use permutations in your solutions, these are all related to permutations, so I hope…

A: Given:  group 10 people using permutation how many different ways to choose the officers

Q: In a class, there are 27 seats in the first row and 2 seats more in the following row. How many…

A:

Q: In a gym class there are 22 seniors, 12 juniors, 10 sophomores and 15 freshnen. How many ways can 8…

A:

Q: n your English class, you are given a list of 12 books. You are to choose 3 books to read over the…

A: It is needed to select 3 books from the list of 12 books.

Q: A guy is explaining the “system” for counting cards. he explains that high cards are worth – 1,…

A: Given that there are 76 cards, 23 high, 17 neutral and the rest low.

Q: Combinations The president, secretary and treasurer of the math society are to be chosen from 5…

A: The president, secretary and treasurer of the math society are to be chosen from 5 boys and 3 girls.…

Q: John has 6 different flags that he wants to hang on the wall. How many different ways can the flags…

A: The number of flags having by John is 6.

Q: What is Combination and Permutation? Give examples.

A: Combination and permutation : A permutation is that the method of golf shot things or numbers in a…

Q: Which rule best describes the following pattern? 5, 6, 15, 16, 25, 26, 35, ... Add 10, subtract 9,…

A: Given information, Given pattern : 5,6,15,16,25,26,35,...

Q: Count the number of ways 2n people can be grouped into pairs. For example, when n=2 and there are…

A: If n=2 2n people can be arranged in  A B C D The possible number of pairs that can be formed…

Q: Licence plays in a particular state display 3 letters followed by 3 numbers. How many diffrent…

A: By using permutation and combination .

Q: Fifty people purchase raffle tickets. Three winning tickets are selected at random. If each prize is…

A:

Q: what is 72 Times 14

A:

Q: Craig is training for a race. He bikes every 2 days and swims every 3 days. If he biked and swam…

A: Given, Craig is training for a race.  He bikes every 2 days and swims every 3 days . If  he biked…

Q: There are 6 books on a book shelf. In how many ways can you arrange the books on your shelf? Note:…

A: The number of books on a shelf = 6 There are 6 books can be arranged in 6 different places on a…

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A: By combination method:- nCr = n!/r!(n-r)!

Q: Baseball In the American Baseball League, a designatedhitter may be used. How many batting orders is…

A:

Q: Show combination notation in solving the problem below. A box contain 6 distinct red balls and 4…

A:

Q: Maia picked out 4 jelly beans from a bag of jelly beans to eat Is the selection below a permutation,…

A: Given that    Maia picked out 4 jelly beans from a bag of jelly beans to eat Is the selection below…

Q: Find the combination A volleyball team has 15 players, two coaches, and three managers. In how many…

A: 15 players 2 coaches 3 managers 20 total people     how many ways can nine people sit in the front…

Q: Use the Multiplication Principle to find the total number of outcomes. 1. You are choosing a car.…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

Q: Combinations The president, secretary and treasurer of the math society are to be chosen from 5…

A:

Q: An employee at a store is going to display 7 scented candles in a row on a shelf. He will put one of…

A:

Q: Count the number of ways 6 bottles and 5 cups can be lined up in a row if a bottle (a cup) should…

A: It is given that 6 bottles and 5 cups can be lined up in a row if a bottle should not be followed…

Q: how many different meal sets can you place on your menu? b. What mathematical concepts did you use?…

A: Suppose you are preparing a menu that may be served in your newly built restaurant. If you have 3…

Q: How many ways can you buy 10 cans of soda from a store that sells 6 types of soda? Give your answer…

A: Given, 6 types of soda and choose any 10 cans of soda. we can choose one type of soda many times.…

Q: A chef is trying to make a delicious extraordinary hamburger. He needs to choose 1 4. item from each…

A:

Q: At the ice cream shop, there are 18 flavors of ice cream available. How many ways can you select a…

A: Combination

Q: Q2) Bill and Ted are planning trips to 9 countries this year. There are 13 countries they would like…

A:

Q: Find the number of permutations of the word DIFFERENT.

A: The word is given as DIFFERENT Number of letters = 9 Here F repeated twice and E is repeated twice

Q: A 4. If you have 6 shirts and 3 pants how many different outfits can you create?

A: Given problem Given that   If you have 6 shirts and 3 pants. We have to find the different outfits…

Q: Explain how you would know whether to use combinations or permutations. You can use examples to make…

A: There is a simple difference between the two.

Q: Gabby has 4 pairs of pants, 7 shirts, and 3 pairs of shoes in his closet. In how many ways may he…

A: The provided information is  There are 4 pairs of pants  7 pairs of shirts 3 pairs of shoes we…

Q: A magic show has 10 people in the audience. For the next act, the magician needs 2 people from the…

A: Given Total number of people in audience = 10

Q: he Grinch sneaks into a room with 6 Christmas presents to 6 different people. He proceeds to switch…

A: Consider the given question, (1) Find the number of ways if  no present is allowed to end up with…

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.