​(a) Determine how many 3​-digit counting numbers can be constructed from the digits {1,2,3,4} if repetition is allowed. Select all that apply.

Q: How many different choices of 5 toppings are there

A: Given Data: The total number of toppings is: n = 6 Required choice of toppings is: r = 5   This…

Q: Classify the problem as a permutation, a combination, or neither. How many three-digit numbers can…

A: Given that  Numerals = { 2 , 3 , 4 , 5 }   Number of three digit numbers formed without repetition.…

Q: If the five numbers summary of 700 observations are: 10,20,25,30,40 ,then the number of observations…

A: Given No. of observations = 700 5 no. summary = 10,20,25,30,40

Q: ... Question 2 / (1.5 Marks) What is the number of ways that 15 people can be seated in a circle?

A: In question, We find the number of ways that 15 people can seated in a circle. The solution is…

Q: Start with a deck of 64 cards—16 cards in 4 suits. Ask a person to think of card. Your task is to…

A: The amount of information uncertainty in the single card,  Hs= log2N  Here total cards are N= 64 Hs=…

Q: In how many ways can an adviser assign a different task to 9 students from a class of 15?

A: Here we need to assign a different task then we would use combination.   Combination formula: C(n,r)…

Q: Rental cars belong to one of eight classifications depending on type and size. How many cars does a…

A:

Q: Please answer the following Data Managment question. Please make sure the answers are correct and…

A: 1)If we assume that president A, vice president B,  treasurer C and vice versa are all are…

Q: A deli offers 7 different toppings. How many different choices of 5 toppings are there

A: Given that, A deli offers 7 different toppings.

Q: In how many ways can 10 engineers be seated in a round table?

A: From the provided information, Total number of engineers = 10

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: .How many 3 digit numbers greater than 200 can be made from 0,1,2,3,4,5 if repetition of digits is…

A: We will find out the required solution.

Q: Determine the population of interest. Select the correct choice below and, if necessary, fill in the…

A: We have the following  statement about the  marketing  agency.

Q: An industrial/organizational psychologist has been consulting with a company that runs weekend…

A: Given: Sample size (n)=81Sample mean=x¯=8.7Sample standard deviation=s=4.1Population mean=μ=7.4.

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: there are 100 million eligible voters in the United States the gallup poll interviews 2,000 of them…

A:

Q: The Borda count method satisfies A) the monotonicity criterion. B) the Condorcet criterion. C) the…

A: Borda count method follows the monotonicity criterion.  monotonic means if a candidate is a winner…

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

A:

Q: In how many ways can 15 different pizza toppings be chosen from 22 available toppings? There are…

A: No. of available toppings=22No. of pizza toppings to be chosen=15

Q: Counting numbers are to be formed using only the digits 6​, 7​, and 8. Determine the number of…

A: Given that: Counting numbers are to be formed using only the digits 6​, 7​, and 8. To find:…

Q: use a random number table to get a list of six random numbers from1 to 8615. explain your work

A: The objective is to generate 6 random numbers from 1 to 8615 using a random number table.

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

A:

Q: In how many ways can a student choose to do 5 questions out of 11 on a test?

A: The question is based on permutation. We need to find the number of ways a student can choose 5…

Q: Taking into account identical letters, how many ways are there to arrange the word PARVAMONSTRA that…

A:

Q: A survey was given to a group of people camping at a state park. They were asked if they used the…

A: Let A be the set of people who used hiking trails.  B be the set of people who used biking trails.…

Q: A race has 16 runners. In how many ways can they finish in first, second, and third place?  48  560…

A: The objective of this question is to find out the number of ways in which 16 runners can finish in…

Q: Use the fundamental counting principle to solve the problem.   How many license plates can be made…

A: From the provided information, License plates are made consisting of 2 letters followed by 2 digits.…

Q: A race is being run by ten horses. How many distinct permutations of first, second, and third place…

A: Let n be the number of horses run in a race. i.e. n=10 and r be the number of places to be awarded.…

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: Suppose a dice is thrown and a coin is then tossed. How many different outcomes are there if the…

A: Fundamental counting principle: If an event can occur in m ways and an other independent even can…

Q: Review the counting of arrangements.  When selecting a debit card PIN number 4 digits are required.…

A: Ans- When selecting a debit card PIN number 4 digits Total number of digits {0,1,2,3,4,5,6,7,8,9}

Q: A state makes license plates with three letters followed by two numbers with no repetitions of the…

A: In general, the number of letters from A to Z is 26 and the number of digits from 0 to 9 is 10.

Q: How many ways can the letters of the word MATHEMATICS be arranged?

A: In this case, we need to find the number of ways in which the word MATHEMATICS can be arranged.Look…