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: How many distinguishable permutation in the word VANQUISH?

A: Since all 8 letters in VANQUISH are distinct.There are 8 choices for the first letter. Once a first…

Q: 4) In how many ways can 26 letters of English alphabet be arranged so that none of the pattern net,…

A: Image is attached with detailed solution.

Q: Use​ permutations, combinations, the fundamental counting​ principle, or other counting​ methods, as…

A: Given data: The total numbers of students are n=21. The numbers of student in the first group are…

Q: 4. A Funko Pop collector has arranged 15 different Marvel Funko Pops in their display case. However,…

A: # we are entitled to solve one question at a time , please resubmit the other question if you wish…

Q: In the BS Lottery, players choose 5 numbers out of 30. They win if they choose the same 5 numbers as…

A: In the BS Lottery, players choose 5 numbers out of 30.

Q: There are 12 athletes joining the Baguio Marathon Event. How many ways can the first, second, and…

A: Given that: There are 12 athletes joining the Baguio Marathon Event.  Tolat people = 12 By using…

Q: 8.) In how many ways can 6 keys be selected from 10 keys and arranged on a key chain?

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: In how many distinct ways can the letters of the word READERS be arranged? Oways

A: We have given that a word READERS. We need to tell the distinct number of ways of this word.

Q: How many distinct permutations can be formed from the word "WEDNESDAY"? - In how many ways can 8…

A: here use permutation and concept of total arrangement

Q: 1) How many 4 digit numbers exist, with at least 1 repeating digit? (example 2218, 3333, 3555, 6699)

A: The objective is to find the number of 4 digit numbers that can be formed with at least 1 repeating…

Q: What is the numberof permutations of the letters in the word BANANA?

A: Question (1) - Number of permutations means number of ways we can arrange 6 letter word Banana.In…

Q: how can the children in ms. varner's class tell if there is an even or odd number of children in the…

A: The children's are :

Q: What chart shows a skip counting pattern with the rule add 4?

A: Given skip counting pattern is the rule to add 4. In option A: Starting from 4, when 4 is added to…

Q: ow many distinct permutations can be made from the letters of the word INDEPENDENCE?

A: We know, if out of n things k1 are of first type,k2 are of second type...and so on Such…

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

A:

Q: Determine the number of distinct 11-letter arrangements can be formed using the letters in the word…

A:

Q: How many permutations of the letters " PAPUNTAPALANGTAYOSAEXCITINGPART" can be made?

A: From the above data We are given that the word.  PAPUNTAPALANGTAYOSAEXCITINGPART In the above word…

Q: many permutations are there in the word TAGAYTAY?

A: Given: The word is  TAGAYTAY .

Q: Find the smallest counting number n such that /n× 25200 is a counting number.

A: Find the smallest number n.

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: In how many ways can 26 letters of English alphabet be arranged so that none of the pattern net,…

A:

Q: How many different groups can be formed for arranging 11 books on a bookshelf?

A: first book can be arranged =11 second book can be arranged =10 third book can be arranged =9 .. ..…

Q: 1. In how many ways can eight people be seated at a round table? In how many ways can eight keys be…

A: We will use concepts of combination and permutation  to get the solution

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

A:

Q: how many arrangements of the letters from the word COUNTING begin with a vowel

A: C = 1  O = 1 U = 1 N = 2 T = 1 I = 1 G = 1 __________________ Total = 8 __________________ Vowels =…

Q: 6, How many ways you can arrange the letters in the word SCRAPED under the following condition; no…

A: the word is SCRAPED there are total of 7 letters the first place can be filled in two ways  A And E…

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

A: Answer is following-

Q: How many different 6-letter arrangements are possible using the letters in the word SALIVA?

A:

Q: How many different “4 of a kinds is there in Yahtzee? How many different Yahtzee’s are there? How…

A: Yahtzee is a dice game based on poker. The object of yahtzee is for each player to roll dice and…

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: In how many ways can the alphabet in the word "ILOVESTATISTICS" be arranged if the letter S must be…

A: Given word is  "ILOVESTATISTICS"Total no.of letters in the given word =15Letter "S" must be seated…

Q: A computer system allows user IDs that are six characters long. If only alphanumeric characters are…

A: We have a computer system that allows user IDs which are six characters long,And, there is only…

Q: 5 cards are drawn from a standard deck of 52 playing cards. How many different 5-card hands are…

A: Given that: 5 cards are drawn from a standard deck of 52 playing cards.

Q: How many distinct permutations can be made from the letters of the word "miscellaneous" that start…

A:

Q: How many distinct arrangements are possible using the letters of the word POSSIBILITY?

A: Important keys :  When given a number of objects and we would to find the possible different…

Q: How many different​ three-digit numbers can be formed using the digits 4, 5, 2, and 8 with​…

A: The given digits 4,5,2,8.  and repetition allowed

Q: 3. How many different 6-digit numbers can be formed from the numbers 25627 2? permutation set up

A:

Q: How many distinct permutations of the letters of the word TABULATION contain the string ION?

A: Number of permutation  keeping ION as one we get that 8!2!=8· 7· 6· 5· 4· 3=20160

Q: Use permutations,combinations, the fundamental counting principle, or other counting methods, as…

A: From the information, there are 21 students in the class and they are divided in to 3 sets 1st set 3…

Q: How many three-letter code words can be constructed from the first nine letters of the Greek…

A: 60480 three letter code

Q: How many permutations doesaa combination lock have if each combination has 3 numbers, no two numbers…

A: Permutation and combination : Permutation and combination are two distinct methods of representing a…

Q: What is the standard divisor when the total population is 120,000 and the representatives needed is…

A: From the provided information, Total population = 120000 Number of objects = 60

Q: How many different 5-letter codes can be formed from the letters in the word countryside.

A: We have given that the word “countryside “ from which we would form different 5-letter codes. We…

Q: Use​ permutations, combinations, the fundamental counting​ principle, or other counting​ methods, as…

A: We have to find no of ways  can a class ofseventeen students be divided into three sets so that four…

Q: b) Use a counting technique to determine the number of possible routes from A o B: В A

A: According to you we have to solve only part (b). Consider the provided diagram of part (b), The…

Q: In how many distinct ways can the letters of the word SEEDS be arranged? ..... ways

A: Need to find How many words can be formed by using all letters of the word SEEDS

Q: In how many ways can 10- different-colored horses be positioned in a carousel? 504 O 4,032 O 362,880…

A: Given that  In how many ways can 10 - different -colored be positioned in a carousel  Positioning in…

Q: How many different ID cards can be made if there are 6 digits on a card and no digur can be used…

A: Given: Number of digits = 6 No digits is used more than once.

Q: In how many ways can first, second, and third prizes be awarded in a contest with 880 contestants?…

A: The number of ways to select r objects out of n distinct objects is estimated using the rule 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.