​(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: 9 children are to be seated on a bench. How many ways can the children be seated and ordered on the…

A:

Q: How many arrangements begin with the letter M from math power

A: The total number of letters in MATHPOWER is 9 letters.  It is given that the first letter has to be…

Q: How many ways can you set the batting order for 9 players on an 11-person team?…

A: Given n=11 r=9

Q: Tony allows his customers to create their own pizza. The customers choose exactly one type of crust,…

A: Here Given  Total no Of crust options available=4 Total no sauce options available=4 Total no cheese…

Q: .  A committee of 4 people needs to be selected from a group of 8 candidates. How many different…

A: Combination: It is nothing but the selection of objects where the order of selection is not…

Q: There are 91 golfers in today’s golf tournament. How many ways can first, second, and third be…

A: The first can be picked in 91 ways  Second in 90 ways  Third in 89 ways

Q: How many ways are there to select three math help websites from a list that contains eleven…

A:

Q: How many ways are there to arrange the letters in the word COLORADO? Number

A:

Q: In how many ways can 20 different pizza toppings be chosen from 22 available toppings? ways to…

A: From the provided information,20 different toppings be chosen from 22 available toppings.

Q: The average duration or labor from the first contraction to the bim of the baby in women over 35 who…

A: The given sample size is 33, sample mean is 16.9, sample variance is 20.3, and population mean is…

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: The trifecta at most racetracks consists of selecting the​ first-, second-, and​ third-place…

A: There are total 9 entries.The trifecta consists of selecting the​ first, second, and​ third-place…

Q: What is the average of 47, 38, 56, and 43? O 47 O 184 O 46 O 44

A: Given Data: Given Numbers: 47, 38, 56, 43 There are four numbers given. So, n=4 The average of the…

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: 2.57, 0.92, 1.42, 1.29, 0.87, 2.77, 6.69, 6.01, 5.80, 6.52, 6.21, 4.09, 3.38, 6.87, 6.74, 9.29,…

A: From the provided information, Sample size (n) = 30 Confidence level = 95%

Q: Fifteen members of a group of eighteen are to be selected to a team. How many ways are there to…

A: Solution

Q: How many ways are there to choose an arbitrary number of students (including the possibility of…

A: by using C(n,r)=n!(r!(n−r)!)

Q: You have a driver's license that has to have 3 digits followed by 4 letters. Find the total number…

A: There are 10 digits : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 There are 26 letters: A, B, C,..........,X, Y, Z.

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: How many of the 13 students do we expect to attend the festivities? (Round your answer to the…

A: Given : Probability of success,p = 0.19 Probability of failure,q=(1- 0.19)= 0.81…

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.…