Decide if the situation involves permutations, combinations, or neither. Explain your reasoning. The number of ways in which 8 contestants in a dance competition can finish

Q: The car you are interested in has 20 color options, 6 engine choices, and 5 entertainment system…

A: See the attached solution below.

Q: Dairy Queen has four different sizes for their Blizzards. There are twenty types of Blizzards. How…

A: Given that there are 4  different sizes for their Blizzards and 20 types of Blizzards. Sizes do not…

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: In how many ways can 4 people be seated in a round table? 24 4 30 6

A: Given information: There are 4 people. The four people are needed to be seated in around the round…

Q: An event manager has ten patterns of chairs and eight patterns of tables. In how many ways can he…

A:

Q: A tasting menu has 10 different items. How many ways can you pick 6 items to try? Your Answer:…

A: We have to use concept of Combination:

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: Question How many ways can a committee of 3 people be selected from a group of 12 people? O A. 220 O…

A: The combination formula is given by

Q: A popular brand of pen is available in 14 colors and 4 writing tips. How many different choices of…

A: The answer is given below:

Q: You draw one card from a standard deck of playing cards. If you pick a heart, you will win $10. If…

A: Given  Total number of cards=52 Number of hearts in a pack=13 Number of face card but not hearts=9

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

A:

Q: How many different 6 card hands can be dealt from a deck of 52 cards? Your answer is : Question…

A: Given: Total cards = 52 Number of cards to be drawn = 6

Q: A frozen you shop offers eight flavors and twelve toppings. How many ways of choosing one flavor and…

A: Answer:-  Given,  Total flavors=8 Total toppings =12

Q: Does the problem, 'A medical researcher needs 6 people to test the effectiveness of an experimental…

A: A medical researcher needs 6 people to test the effectiveness of an experimental drug and 13 people…

Q: after gym class you are tasked with putting the 33 identical dodgeballs away into 9 bins. a. how…

A: The number of ways n identical items can be arranged in r places without any restriction is equal to…

Q: Calculate the number of ways that the "WIN", " PLACE" and "SHOW" horses ( the first 3 finishers) can…

A: The number of horses in the race is 9. The horses to finish the race are "WIN", "PLACE" and "SHOW".

Q: Which word has the most permutations of its letters? abbas aabbcc books bikes

A: To select the word which has the most permutations of its letters. Word 'abbas' has five letters…

Q: In a survey of 150 pet owners, 91 said they own a dog, and 30 said they own a cat. 6 said they own…

A: It is given that,  91 owners said they owned a dog, n(dog) =91 30 owners said they owned a cat,…

Q: How many different permutations can be created when 7 people line up to buy movie tickets? a) 720…

A: We Have to find no. Of ways....

Q: 1. Find the average. a) 4,9,5, 4, 7,7 b) 16, 18, 20, 24

A:

Q: Freya has 5 different dolls. In how many ways can she keep her dolls in a line inside her doll…

A: There are five positions and five different dolls

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

A: consider the given data on ice cream parlor has 32 different flavors. A super sundae allows a person…

Q: How many different 6 card hands can be dealt from a deck of 52 cards? Your answer is: Question Help:…

A: Given : n = 52 x = 6

Q: Find the number of different ways the letters of the word “BLUEBERRIES" can be arranged.

A: Given the word BLUEBERRIES Here B is repeated twice E is repeated thrice R is repeated twice and…

Q: Use the following letters J,O,L,L,Y to explain the difference between "permutations" and…

A:

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

A:

Q: ou toss a coin 100 times and get only 15 heads . Do you have reason to suspect the coin is unfair ?…

A: We see that a coin is tossed 100 times and only 15 times we get heads. It means that the probability…

Q: Find the number of circular permutations of seven dancers.

A: We know that  , The number of circular permutation of n objects is(n − 1)!

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: Ann enya alvin and johnny have diferrent favorite color among red blue green and orange.No person…

A:

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

A: The solution of the problem is given in the next step.

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

A:

Q: You choose three cards in order from a set of cards numbered 1 to 10. 6.1. How many possible…

A: Given,       Introduction,                  n= 10 We have choose the cards = 3    6.1) possible…

Q: A magazine contains thirteen pages. You open to a random page. The page number is six or seven.

A: total no. of pages = 13

Q: State if the scenario involves a permutation or a combination. Then find the number of…

A: Given that  The student body of 215 students wants to elect two representatives. since it involves…

Q: How many ways are there to choose five doughnuts if there are eight varieties and only the type of…

A: Solution is given below

Q: You pick one marble from each group and pick a card. How many outcomes are possible? 345 6.

A: draw one marble from each group and then pick a card

Q: ou are designing a flag for a nation in the "Civilizations" video game.  The flag will have three…

A: there are 3 stripes and we have 6 colors to fill the flag

Q: A quiz consists of 8 multiple choice questions, each with 4 options.  In how many ways can a student…

A:

Q: You visit a store. You have your choice of 3 shirts, 4 pants, and 3 pairs of shoes. How many…

A: Given that you have your choice of 3 shirts, 4 pants, and 3 pairs of shoes.  We want to find…

Q: License plates in a particular state display 3 letters followed by 4 numbers . How many different…

A: The letters and digits in license can be occurred more than once.

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

A: Permutation of Multiset: The Permutation of n different objects when n1 objects among ‘n’ objects…

Q: Do permutations or combinations give more outcomes when the they both have the same set size and are…

A:

Q: In how many ways can 2 pizza toppings be chosen from 12 available toppings? Your answer is :…

A:

Q: How many different 5 card hands can be dealt from a deck of 52 cards? Your answer is: Question Help:…

A: Answer: - Given, a deck  of 52 cards.                 How many different 5 card hands can be dealt…

Q: After gym class you are tasked with putting the 25 identical dodgeballs away into 8 bins. a. How…

A: The number of ways to put n balls into r distinguishable boxes can be calculates using…

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

A: Use permutation

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: At Zark's Burger place, you can get a single, a double, or a triple burger. You also have a choice…

A: Given that, at Zark's Burger place, you can get a single, a double, or a triple burger. You also…

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

A: here combinations must be use. we are using combination because here order doesn't matter we have to…

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.