Answer each permutation problem completely. 1. Find the distinguishable permutation of the word AUSTRALIA. 2. Find the distinguishable permutation of the word QUARANTINE. 3. In how many ways can a group of 10 students stand in a row if three of them insist to stay together? 4. In how many ways can a group of 8 be arranged in a carousel if 2 insist to stay together?

Q: 1. In how many ways can you create 2 letter words from the letters in the word DAVE? Answer: 2. How…

A: The number of ways to select r elements out of n distinct elements is computed using the combination…

Q: How many permutations can be made out of the letters in the word island taking four letters at a…

A: We have to find number of permutations possible.

Q: How many distinguishable permutations are possible with all the letters of the word MISSISSIPPI?

A: Given ,  Word - MISSISSIPPI number of letter in word MISSISSIPPI = 11

Q: USA today reported that about 20% of all people in the United States are illiterate. Suppose you…

A: Let success be defined as literate people. Probability i=of literate people (or success) is p=0.8…

Q: Your school locker has a dial with 50 numbers which required 3 numbers to open. (It is not a…

A: We have to find out given n...

Q: How many permutation can we make if we have 12 elements and use 4 at a time?

A: Given data:   The total numbers of elements are n=12. The numbers of elements used at a time are…

Q: 2. Find the number of distinct permutations that can be formed from all the letters of each word:…

A: The number of distinct permutations of n letters of a word where the letters n1, n2 , ... , nk are…

Q: How many different 7-letter words can be made a. if the first letter must be G, X, P, or L and no…

A: Concept: Since, in every case first letter shoud be G, X, P, or L.  Hence, total number of ways for…

Q: olve the foolowing problems involving permutations and combinations. SHOW YOUR SOLUTION. 1.) In…

A: For the given data Find 1.) In how many ways can a president, vice president, secretary and…

Q: Determine whether the following problem involves a permutation or a combination and explain your…

A:

Q: These are all related to permutations, so I hope all three can be answered per your ruling. Thanks!…

A: Given: 1. You have been asked to judge an art contest with 20 entries. In how many ways can you…

Q: each is a permutation or a combination and then evaluate. 38. In how many ways can an investor…

A: The selection of elements without arrangement can be represented by a combination of elements. 38.…

Q: Determine whether the following problem involves a permutation or a combination and explain your…

A: Given letters is O,P,Q,R,S,T and UTotal no.of letters =7

Q: 6. How many different 3-digit identification tags can be made if the digits can be used more than…

A: Note- Since both are different questions, so according to our policy we can answer only one…

Q: Determine whether the following problem involves a permutation or a combination and explain your…

A: Given: To analyse the permutation or a combination is present in The different 7-letter passwords…

Q: Answer each permutation problem completely. 1. During ECQ, only 1 family member is allowed to leave…

A: Hi there, Since you've posted multiple questions, we'll solve the first one as per our policy.…

Q: 4. Choose 5 members of 20 members of a college Math Club. Determine whether to use combination or…

A:

Q: (1). How many different words (including nonsense words) can you make by rearranging the letters of…

A: 1) The given word is “EFFERVESCENCE”. The total number of letters is 13. There are 2 C’s, 5 E’s,…

Q: Determine whether the situation described below involves a permutation or a combination, and then…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: 8. Find the number of distinguishable permutations in the name of ALEXIS BENIGNOS a.) 5,458,648, 200…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Determine if each is a permutation or a combination and then evaluate. How many four-letter words…

A: From the provided information, The four-letter words will be formed from the first letters of the…

Q: How many different 7-letter words can be made a. if the first letter must be B or X and no letter…

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

Q: In phase 2 of the San Diego County Fair, the 20 amateur artist are put into groups of 4 students to…

A: Number of unique groups of 4 artist and correct options from the list are as following.

Q: How many permutations can be made out of the letters in the word CAROLINE taken 4 at a time?

A: There are 8 letters in the word CAROLINE. We can take 4 letters from 8 letters in 8P4=8!(8-4)!=1680…

Q: How many different 6-letter words can be made a. if the first letter must be B, Y, P, or M and no…

A:

Q: Apply Permutation to solve for the following problem: A. With repetition allowed, how many group of…

A: Solution

Q: How many different 7-letter words can be made a. if the first letter must be B or X and no letter…

A:

Q: How many permutations of a 7-digit phone number exist, assuming that numbers may be repeated and any…

A:

Q: These are all related to permutations, so I hope all three can be answered per your ruling. Thanks!…

A: Given : 3 Situations Where use permutation formula

Q: The lego store has a deal where you buy a 20 oz cup and you dip it into a bi of mixed up legos…

A: Given information: Denote the proportion of dark stone grey, bright red, bright blue, bright yellow,…

Q: 4. How many permutations are there of the letters in the word BALLOON if the first and the last…

A: NOTE*** As per bartleby guidelines for more than one question asked only first to be answered, send…

Q: Determine whether the following problem involves a permutation or combination.​ (It is not necessary…

A:

Q: Answer the following: a) How Many ways can a stylist arrange 5 of 8 vases from left to right in a…

A: The given questions are related to permutations. The formula is given by nPr=n!(n-r)!

Q: 23. How many ways may 5 students be elected from a club with 45 members? 24.How many two-digit…

A: 23) Total number of members = 45 Number of members to be selected = 5 Number of ways the selection…

Q: Answer each permutation problem completely. 1. In how many different ways can 7 bicycles be parked…

A: Given: There  are 7 bicycles and 5 parking spaces

Q: In how many ways can 8 people be seated in a row if a.) there are no restrictions on the seating…

A: Given that there are 8 people sitting in a row.The number of people, n=8.

Q: These are all related to permutations, so I hope all three can be answered per your ruling. Thanks!…

A: The three scenarios are given. We have to find relative permutations for all scenarios.

Q: (a) How many distinct permutations can be made from the letters of the word COLUMNS? (b) How many of…

A: Step 1 -There are total 7 distinct letters in the word "COLUMNS". Step 1 - There are 7 letters that…

Q: 5. How many permutations are there in the letters of the word BALLOON

A:

Q: Determine whether the situation involves a permutation or a combination. Encircle your answer. 1.…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: 2. How many distinct permutations can be formed from all the letters of the word THREE?

A:

Q: How many different 6-letter words can be made a. if the first letter must be E or W and no letter…

A:

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 25.…

A: 1 to 25 there are 25 numbers. The numbers may repeat in the combination. For the first number, there…

Q: D. Write the permutation notation and evaluate. 1. How many ways you can choose a president, vice-…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Answer the following question by using a combination or a permutation. how many different ways can 3…

A: Combination:   It is nothing but the objects are being selected when the order of selection is not…

Q: How many different permutations can be made from the letters in the word hippopotamus?     Group…

A: Here we use the rule of combination.

Q: How many permutations can be made out of the letters BOOKKEEPER?

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 3. How many permutations of the 26 letters of the English alphabet do not contain MATH, PATH, SUM,…

A: Total number of permutations of n distinct objects is given by n! Then, the number of permutations…

Q: the Martian language, any permutation of letters forms a word. How many 4-letter Martian words can…

A:

Q: Determine whether the following problem involves a permutation or a combination and explain your…

A: Combinations: It defines the number of possible ways an object can be selected from a group. In…

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.