c) For a concert with 1000 fans, 6 lucky fans are chosen to perform duets with the singer (in a particular order). How many ways can this be done?

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

A:

Q: A senior inspector will inspect 10 rooms this week. (d) To have a fair representation, how many…

A:

Q: How many different ways are there to select three dozen colored roses if red, yellow, pink, white,…

A: Solution-:Given: Available roses - red, yellow, pink, white, purple, and orange We want to find how…

Q: In how many ways can 4 pizza toppings be chosen from 12 available toppings?

A:

Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

A:

Q: From the 10 male and 9 female sales representatives for an insurance​ company, a team of 2 men and 3…

A: GivenNo.of males=10No.of females=9Total no.of peoples=19

Q: to win a lotto in one state, one must correctly select 6 numbers from a collection of 5 numbers (one…

A: In the question, it has to be select 6 numbers from a collection of 55 numbers (one through 55),…

Q: Suppose that a cookies shop has four varieties of flavour of cookies. How many different ways can 8…

A: Given: A cookie shop has four varieties of the flavour of cookies. Number of choices to select one…

Q: Find the number of ways in which nine contestants can be ranked first, second, third, fourth and…

A:

Q: .Carmi is ranked 13th from right and 8th from left. How many students are there in total?

A:

Q: Your school principal wants to select a group of six students from your class of 15 students to…

A: Combination: A combination is a selection of items from a group of items, where the order of…

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

A: There are 7 people. n=7

Q: A parent brings 4 children to a movie and the family sits in a row of 5 seats. How many ways can…

A: There are total 5 members to sit. 4 of them are children and one parent. The parent sit on one one.…

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: 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: There are 17 students in the club. How many ways can a committee of at most 3 students be chosen

A:

Q: From the 9 male and 6 female sales representatives for an insurance​ company, a team of 4 men and 3…

A:

Q: A secretary & a treasurer of a club are to be selected from 4 different members. How many ways can…

A:

Q: student organization of 40 wants needs three people to cover ticket sales at an event. How many…

A: Given n=40 x=3

Q: How many ordered lists are there of seven items chosen from eight? ordered lists

A: Given n=8 r=7

Q: A club with 25 members is selecting a committee of 6 people. In how many ways can this be done?

A: *concept:- use defination of Combination.

Q: 8 people are trying out for 3 cheerleader spots on the team. In how many ways can this be done?

A: 8 people are trying out for 3 cheerleader spots on the team. In how many ways can this be done?

Q: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party Each…

A: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party.

Q: Seven bands are to perform at a weekend festival. How many different ways are there to schedule…

A: Seven bands are to perform at a weekend festival.

Q: 2. Your friend Carlos brought over 10 videos. Together, you choose 4 of them to watch. How many…

A:

Q: How many ways can 3 bowlers be chosen to get a bye in the first round of a bowling tournament with…

A: We have given that Total number of bowlers(n) = 29 Number of bowlers to be chosen (r) = 3 Formula…

Q: The finals for the 100-meter sprint at the Olympics has 5 runners. In how many ways can they place…

A: In 60 ways they place first , second , third .

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: In a 10 team tournament, trophies are to be given to the top 3 places. In how many ways can the…

A: Given: There are 10 teams in the tournament and trophies are to be given to the top 3 places. Find…

Q: Find the number of different ways that an instructor can choose 4 students from a class of 31

A: Given,Total no.of students=31

Q: There are 54 runners in a race. How many ways can the runners finish​ first, second, and​ third?

A: Note - Assuming for each position there is only one runner.

Q: The president of the college asked a fraternity to submit a list of 7 students to serve as guides at…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.