Answer the following question using the appropriate counting​ technique, which may be either arrangements with​ repetition, permutations, or combinations. Be sure to explain why this counting technique applies to the problem.   How many different three-letter ​"words" can be formed from the alphabet TUV?

Q: 6 numbers dra ion symbol in th nho

A: In this question,concept of probability is applied. Probability The ratio of the number of…

Q: Use the counting unions method, counting cartesian product or pigeon principle method to get the…

A: Given that the total number of 3rd graders in a school is 39. Let A denotes the set of all students…

Q: How many ways are there to deal hands from a standard playing deck to four players if: 1. Each…

A: Consider the provided question, Given, 4 players are playing cards. (1) The number of ways each…

Q: A. Apply the fundamental principles of counting in solving the following problems. 1. The sailboat…

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Q: An ordinary deck of 52 cards consists of four suits: clubs, diamonds, hearts spades A. How many…

A: Given An ordinary deck of 52 cards consists of four suits:  clubs, diamonds, hearts spades

Q: Given the numbers 0, 1, 3, 5, 7, 8 and 9 and if repetition is allowed; a. How many 4-digit numbers…

A: 2.a.  There are 4 spaces in a 4-digit number. _ _ _ _ These 4 spaces needed to be fill using the…

Q: Four numbers are randomly selected from a beaker of balls numbered 1 through 35. How many…

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Q: A recent study indicated that 67% of U.S. adults consider air conditioning a necessity. If a random…

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Q: A common style of counting problem involves drawing from a deck of playing cards. In a standard deck…

A: The following Solution is provided below

Q: 1.In how many ways can 7 floats line up for the homecoming parade? Circle one: Counting Principle…

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Q: What is the minimum number of students required in a discrete mathematics class to be sure that at…

A: We solve the given problem in next step.

Q: In how many ways can 7 people line up to pay their electric bills? use permutation or combination in…

A: Given: n = 7

Q: Apply the Fundamental Properties of Counting or Permutation to solve for the following problems.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Sixteen middle school children are on the track team. a. How many different six member teams can be…

A: The information provided in the question are as follows :- There are in total sixteen middle school…

Q: How many different ways can the letters of the word HANDS be rearranged to form a five-letter code…

A: Given that :  MANDS  This word has tive alphabets. So we have  5!  Ways to be arrange in different…

Q: 1. How many ways can four letters in the word "SHARED" be arranged?

A: The objective of this question is to find out the number of ways four letters from the word 'SHARED'…

Q: 2. I have 10 shirts, 8 pairs of pants, 2 belts, and 3 pairs of shoes. How many different outfits…

A: Given : I have 10 shirts, 8 pairs of pants, 2 belts and 3 pairs of shoes.   To find the number of…

Q: .A lottery works by picking 6 numbers from 1 to 49.  How many combinations of 6 numbers could  you…

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Q: Evaluate P(King and Diamond) from a standard deck of cards

A: In the standard deck of card we have 4-kings and 13-diamond card but there is one king of diamond in…

Q: In a survey of 3386 adults aged 57 through 85 years, it was found that 89.2% of them used at least…

A: 3386 adults aged between 57 and 85 years were surveyed. Proportion p=89.2% of them used at least one…

Q: A student is classifying the following contexts as either permutations or combinations. Finding how…

A: This is a problem related to permutation and combination. Based on the general definition of both we…

Q: How many different permutations of the letters in ALASKA are possible?

A: Total number of letters in ALASKA are 6. And there are three A's. i.e. n=6 and r=3

Q: At many private and some public schools, students are required to wear 12 uniforms. Suppose the boys…

A: There are 2 types of pants: Navy or Khaki  There are 2 types of shirts: short sleeve or long sleeve…

Q: An election ballot asks voters to select three city commissioners from a group of twelve candidates.…

A: The objective of this question is to find out the number of ways to select three city commissioners…

Q: How many different ways can you rearrange the letters in the word "Voodoo"?

A: We have given that the word “Voodoo”.

Q: 1. How many ways can four letters in the word "SHARED" be arranged?

A: The objective of this question is to find out the number of ways four letters from the word 'SHARED'…

Q: Consider a horse race with 8 horses. Explain how the fundamental principle of counting or the…

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Q: answer the following questions using the appropriate counting techniques, which may be either…

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Q: An election ballot asks voters to select three city commissioners from a group of twelve candidates.…

A: The objective of this question is to find out the number of ways to select three city commissioners…

Q: Please answer the following questions with details on how to do it. Thank you.   1.Answer the…

A: From the given information we find the solution

Q: How many arrangements are there using all the letters of the word cucumber?

A: There are 8 letters in the word cucumber. Among them: Letters Number of times appeared C 2 U…

Q: 3. The English word DERMATOGLYPHICS means the Study of Fingerprints. How many 5 letter arrangements…

A: The number of letters in the given word is 15.

Q: 14 1. How many code words of any length (including 1-letter words) can be formed from the letters in…

A: Given problem Given that   We have to find the number of code words of any length ( including…

Q: Answer the following counting situations a. How many variations in first-, second-, and third-place…

A: The permutations without replacement is used to find the number of ways of obtaining a set of…

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.