Answered: here are 6 contestants in a singing…

here are 6 contestants in a singing contest grand final. How many ways can we choose a grand champion, first-runner up, and second-runner up?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section: Chapter Questions

Problem 38RE: A coffee shop has 7 Guatemalan roasts, 4 Cuban roasts, and 10 Costa Rican roasts. How many ways can...

See similar textbooks

Related questions

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: When you buy a one-dollar ticket for a state's lottery, you are trying to match 5 numbers drawn from…

A: Match 5 numbers from 45 numbers in any order without replacement to win. Total possible winning…

Q: How many different sets of three candies can you select?

A: A candy jar has 10 different candies in it three candies are selected from jar

Q: There are 19 finalists in a singing competition. The top four singers receive prizes. How many ways…

A: There are 19 finalist in the singing competition. Top 4 singers receives prizes. The number of ways…

Q: In a basketball tournament, 8 teams are participating to compete for the top 4 places that will…

Q: There are 6 athletes at a track meet. How many different ways can they finish first or second?

A: Answer:- Given, Total number of athletes at a track meet = 6 We need to find the number of ways can…

Q: en and seven women in a ballroom dancing class. If four men and four women are chosen and paired…

A: men = 6 women = 7 Total = 6+7 = 13 The number of ways that 4 men and 4 women are selected are:…

Q: A bag contains 2 red marbles, 5 blue marbles, and 6 green marbles. A handful of 4 marbles is…

Q: There are 15 boys and 12 girls that try out for a chorus. The choir director will select 10 girls…

Q: Several states participate in Hot Lotto, a lottery that requires choosing 5 of the numbers 1-39 and…

A: It is given that lottery requires choosing 5 of the numbers 1 to 39. Substitute n=39,r=5 in…

Q: In the Pinoy Big Brother House, the original housemates composed of 6 males and 6 females were asked…

A: Here we solve the given problem.

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

Q: There are 29 students in a homeroom. How many different ways can they be chosen to be elected…

A: Given,Total no.of students=29

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

Q: There are 12 students in a high school senior class. In how many ways could the yearbook choose one…

A: The objective of this question is to find out the number of ways in which one student can be chosen…

Q: Kim, Dan, and Pat are finalists in a talent contest. How many different ways can Kim, Dan, and Pat…

A: Given data, Only one position for First place and only one position for Second place in a contest.…

Q: A school group is deciding how to line up its 10 members for a photo. The president will go first.…

Q: You have 6 friends in a class and you want to choose 3 to form a study group. What is the number of…

A: The objective of this question is to find the number of combinations of 3 friends that can be chosen…

Q: Find the number of different ways that 995 contestants can win different first, second and third…

A: Given information- We have given that there are 995 contestants. We have to find the number of…

Q: There are 24 students in a math class. How many ways are there to select 3 students for a group…

A: There are 24 students in math class. We have to find number of ways to select 3 students for group…

Q: A box contains 7 different marbles. In how many ways can you select 5 marbles for you to play with…

A: A box contains 7 different marbles. in how many ways can you select 5 marbles for you to play with…

Q: From a league of 20 players, we want to choose 11 players for a football match. A goalkeeper, a…

Q: You must choose an elective for your fourth block class. You can choose from 3 different physical…

A: 3 different physical education classes, 4 different computer classes 2 different culinary classes…

Q: dinner special allows you to select from 10 appetizers, 6 salads, 8 entrees, and 6 beverages. How…

A: To find the number of different dinners can be formed if it allows selecting from 10 appetizers, 6…

Q: There are 30 people competing in a race. The top 3 get a spot on the podium. How many different ways…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: A child is allowed to pick a handful of 4 pieces of candy from a bowl of 8 different pieces of…

A: A child is allowed to pick a handful of 4 pieces of candy from a bowl of 8 different pieces of…

Q: BURGER BARN ALLOWS STUDENTS TO CREATE UNIQUE BURGERS BY SELECTING FROM 4 TYPES OF BUNS, 3 TYPES OF…

Q: There are 20 singers nominated for 5 different awards.How many ways are there to choose the winners?

A: Solution: From the given information, 20 nominated for 5 different awards.

Q: How many ways can you pick five students for the student council when there are twelve people…

A: The mathematical formulation which can be used to determine the total number of ways in which r…

Q: There are 25 people in your club. Three of them will be chosen randomly to serve on a committee. How…

Question

There are 6 contestants in a singing contest grand final. How many ways can we choose a grand champion, first-runner up, and second-runner up?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

A buyer of a new sedan can custom order the car by choosing from 5 different exterior colors, 3 different interior colors, 2 sound systems, 3 motor designs, and either manual or automatic transmission. How many choices does the buyer have?
Choosing Officers From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer need to be filled. In how many different ways can the offices be filled?
A coffee shop has 7 Guatemalan roasts, 4 Cuban roasts, and 10 Costa Rican roasts. How many ways can the shop choose 2 Guatemalan, 2 Cuban, and 3 Costa Rican roasts for a coffee tasting event?
A motorcycle shop has 10 choppers, 6 bobbers, and 5 café racers—different types of vintage motorcycles. How many ways can the shop choose 3 choppers, 5 bobbers, and 2 café racers for a weekend showcase?
In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in the exact order (1 St place, 2nd place, and 3rd place). How many different trifectas are possible if there are 14 horses in a race?
How many ways can 4 men and 4 women stand in line if all the women are first?
An art store has 4 brands of paint pens in 12 different colors and 3 types of ink. How many paint pens are there to choose from?
A community baseball stadium has 10 seats in the first row, 13 seats in the second row, 16 seats in the third row, and so on. There are 56 rows in all. What is the seating capacity of the stadium?
At Rosemont High School, 14 players are on the varsity basketball team, 35 players are on the varsity football team, and 7 of these players are on both teams. How many different individual players are on the two varsity teams?
DISCUSS: Complementary Combinations Without performing any calculations, explain in words Why the number of ways of choosing two objects from ten objects is the same as the number of ways of choosing eight Objects from ten objects. In explain Why c(n,r)=c(n,nr)
A skateboard shop stocks 10 types of board decks, 3 types of trucks, and 4 types of wheels. How many different skateboards can be constructed?
Alice and Bill have four grandchild, and they have three framed pictures of each grandchild. They wish to choose one picture of each grandchild to display on the piano in their living room, arranged from oldest to youngest. In how many ways can they do this?