What are all the ways in which the top 4 racers in a 20 person race can finish?

Q: There are 12 people in a dinner gathering. In how many ways can they arrange themselves around a…

A: We use permutations and combinations. Number of ways to arrange n objects in n places is n! Number…

Q: Suppose there are 21 different competitors at a barbeque competition. Judges are going to award 5…

A: Given: 21 different competitors The total award is given = 5

Q: There are 22 students in a fraternity. In how many ways can a committee of 6 students be selected?…

A: Given that Number of students=22 Number of students selected=6

Q: In how many ways can 2 pizza toppings be chosen from 12 available toppings? Your answer is :

A: Consider the formula for the n objects taken r at a time is, Cn,r=n!r!n-r! Then, the number of ways…

Q: calculate the number of ways that the first, second, and third place horses can finish in a race…

A:

Q: At a NASCAR racing event, how many different finishes among the first 5 places are possible if 30…

A:

Q: In how many ways can 2 pizza toppings be chosen from 12 available toppings?

A: We have given that 2 pizza toppings be chosen from 12 available.

Q: How many ways can the Blue, Red, and Yellow ribbons be awarded to the 9 participants of a 10k race?

A: Given,Total no.of participants=9no.of ribbons=3

Q: A coach had 21 people try out for the team, but only 13 people can make the team. How many different…

A:

Q: How many ways can 10 people line up at the front of a class if Billy and Samantha are together?

A:

Q: Four members from a 14 members committee are to be randomly selected to serve as a Chair, a…

A: The number of members is 14.

Q: How many ways can 5 horses come in first, second, and third place in a horse racing competition?

A: How many ways can 5 horses come in first, second, and third place in a horse racing competition:…

Q: A club with 29 members is to select a committee of five persons. In how many ways can this be done?

A: In a committee, we select the persons as a group. So the arrangement does not matter. So we will use…

Q: How many ways can a committee of four people be chosen from a group of eight people?

A: Given data, Total number of people = 8 People select for committee = 4

Q: Find the number of ways in which we can select a team of 6 players from a class of 12 people.

A:

Q: how many ways can a coach choose four players from eight bench players to replace four of the five…

A: The number of ways in which r different items can be chosen from n different items is given as Crn…

Q: The Chess Club has 15 members. The club wants to elect a president, vice president, secretary, and…

A:

Q: In how many different ways can 12 people occupy the 12 seats in a front row of a mini theater ?

A: Given: The number of seats available is 12.  The number of people to be arranged in seats is 12.

Q: How many ways can you select a committee of 4 student our of 10 students?

A: As per our guidelines we are suppose to answer only one question4)Given Total no.of…

Q: There are 12 people in a dinner gathering. In how many ways can they arrange themselves around a…

A:

Q: There are 8 performers who are presenting their acts at a variety show. How many different ways to…

A: We can pick the first performer in 8 ways. Second in 7 ways. Third in 6 ways. Fourth in 5 ways.…

Q: How many different ways can 5 cellular cellphones be selected from 8 cellular phones?

A: Given,total no.of cellular phones=8

Q: Mary wants to organize a party with only 10 people. In how many ways can she choose those 10 people…

A:

Q: How many ways are there to choose 3 applicants from 8 job-seekers for high-paying positions in an…

A: Given information- We have given that in an engineering company 3 positions are there and 8…

Q: The university of Montana ski team has 8 entrants in a men’s downhill ski event. The coach would…

A: Permutations: The number of permutations of r items selected from n items is, Prn=n!n-r! The…

Q: How many different ways can a race with 6 runners be completed? (Assume there is no tie.)

A: Given that number of runners is 6 The place that race completion has=6 places Since, from 1st place…

Q: Consider a Little League team that has 15 players on its roster. How many ways are there to select 9…

A:

Q: There are 10 horses competing in a show. In how many ways can the blue, red, yellow and white…

A: Here, Number of participants = 10 And Number of prizes = 4 (blue, red, yellow and white)

Q: How many ways can seven people line up at a ticket window?

A: There are 7 people. n=7

Q: Charmaine asked 8 students how many courses they have taking so far at her college. Here is the list…

A: Solution: The given data is 13, 20, 8, 17, 22, 4, 15 and 18.

Q: There are 34 students in a high school senior class. In how many ways could the yearbook choose the…

A:

Q: How many ways can 4 officers be elected from 12 candidates?

A: From the provided information, There are 12 candidates from which 4 officers will be elected.

Q: Suppose you are asked to list, in order, the three best movies you have seen this year. If you saw…

A: Suppose you are asked to list, in order of preference, the three best movies you have seen this…

Q: Ten jokes are listed in a magazine.   If the fourth joke from the magazine is​ excluded, in how…

A: There are 10 jokes listed in a magazine.Here 4th joke is excluded than find the number of ways…

Q: how many different ways can 15 runners finish in the first five places of a race?

A: It is given that n is 15 and r is 5.

Q: How many hands of 5 cards from the deck of 52 are there?

A: Solution: From the given information, there are 52 cards and 5 cards are to be drawn at random.

Q: How many ways can you choose seven people from a group of twenty?

A: Solution: Combinations: Suppose there are n objects and r objects to be chosen. Then, combination…

Q: The All-County Goat Show will award the blue ribbon for 1st place, red ribbon for 2nd place, and…

A: Using permutations and combination

Q: How many ways are there to select 47 cards from a standard deck of 52 cards?

A: To find: The number of ways to select 47 cards from a standard deck of 52 cards. Concept used: The…

Q: There are eight swimmers competing in the 500 meter freestyle. In how many ways can they place in…

A:

Q: How many ways are there in choosing 3 books from a shelf of ( 83 ) books ?

A: The number of way for choosing 3 books from a shelf of 83 books is C383 =83!3!×(83-3)!…

Q: How many ways can 7 people fall in line if 2 persons doesn’t want to be seated next to each other?

A:

Q: There are 7 athletes at a track meet. How many different ways can they finish first, second, and…

A: Principle counting is a measure used for counting. It measure the number of possible outcomes in an…

Q: A business has 26 applicants for a job. How many ways can they pick 7 of the applicants to…

A: A business has 26 applicants for a job. To find how many ways can they pick 7 of the applicants to…

Q: How many different ways can a race with 9 runners be completed? (Assume there is no tie.)

A: There are 9 runners who can come in first so there are 9 possibilities  For the second place there…

Q: How many ways can we award a 1st, 2nd, and 3rd prize among 5 contestants?

A: The total number of contestants is 5. To find the number of ways can we award a 1st, 2nd and 3rd.…

Q: A speech class teacher is going to rank five different speeches from 12 available speeches. In how…

A: Given that  A class teacher is going to rank five different speeches from12 available speeches. We…

Q: there are eight girls competing in a ice skating competition.in how many ways can they finish in…

A: Given there are eight girls competing in a ice skating competition

Q: How many different ways can a race with 7 runners be completed? (Assume there is no tie.)

A: The number of runners in the race is 7. Assume that there is no tie. Then, the 7 runners will finish…

Q: How many committees could be formed from 10 students if: a) there must be at least 8 people? b)…

A: Introduction: The number of different ways in which r different objects can be selected out of n…

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.