State if the possible arrangements represent permutations or combinations, then state the number of possible arrangements. A student chooses at random 4 books from a reading list of 11 books.

State if the possible arrangements represent permutations or combinations, then state the number of possible arrangements. A student chooses at random 4 book from a reading list of 11 books.

State if the possible arrangements represent permutations or combinations, then state the number of possible arrangements. A class president, secretary, and treasurer are chosen from 12 students running for office.

State if the possible arrangements represent permutations or combinations, then state the number of possible arrangements. At the end of a season, 10 soccer teams are ranked by the state.

Find the number of combinations. In how many ways can 11 contestants for an award be narrowed down to 3 finalists?

There are 4 comedians and 5 musicians performing in a variety show. The order in which the performers are chosen is random a. What is the probability that the first 3 performers are comedians? b. What is the probability that the first two performers are a comedian followed by a musician?

Find the number of permutations. How many ways can 12 runners in a race finish first, second, and third?

Find the number of combinations. In how many ways can 11 contestants for an award be narrowed down to 3 finalists?

Students will be chosen at random for school spirit awards. There are 6 athletes and 8 non-athletes who are eligible for 2 possible prizes. What is each probability? P(no prize is awarded to a non-athlete)

Students will be chosen at random for school spirit awards. There are 6 athletes and 8 non-athletes who are eligible for 2 possible prizes. What is each probability? P(no prize is awarded to an athlete)

Students will be chosen at random for school spirit awards. There are 6 athletes and 8 non-athletes who are eligible for 2 possible prizes. What is each probability? P(both prizes are awarded to athletes)

A jewelry maker chooses three beads at random from a bag with 10 beads labeled A, B, C, D, E. F, G, H, I. and J. a. How can you use permutations or combinations to find P(selected beads spell the initials DEB)? What is the probability? b. How can you use permutations or combinations to find P(selected beads are all vowels)? What is the probability?

A card is chosen at random from the box containing 10 cards: 3 yellow, 4 red, 2 green, and 1 blue. Graph the probability distribution.

The area A of a circle in terms of the circle's radius r is A= πr². a. Explain the restrictions on the domain of the function A = πr² and the inverse function in this context. b. Write the inverse function of A = πr². c. Use the inverse function you wrote in part (b) to find the radius of a circle that has an area of 50.25 in.². Round your answer to the nearest inch.