A race is being run by ten horses. How many distinct permutations of first, second, and third place are there? Explain how you obtained your answer in detail.

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

A: Given n=11 r=9

Q: Iow many different 5 card hands can be dealt from a deck of 52 cards? our answer is :

A: In the given question, concept of Combination is applied. Combination A combination is a…

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

A:

Q: In how many ways can a student choose to do 7 questions out of 8 on a test?

A:

Q: Joe has 6 favorite baseball teams, and he put their flags on his flagpole in random order. How many…

A:

Q: how many ways can five persons line up to get on a bus?

A: The number of persons is 5.

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: 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: low many ways are there to select 4 players from 10 members to represent the team in a tournament?…

A:

Q: o How many three-letter initials can people have? o How many three-letter initials with none of the…

A:

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: In a lottery game, a player picks 9 numbers from 1 to 40. How many different choices does the player…

A: pick 9 numbers from 1 to 40. order doesn't matter. no. of ways to choose = ?

Q: There are 25 students in a science class. Twenty percent of the students are randomly chosen to…

A: Solution :  There are 25 students in a class.  Twenty percent of the students are randomly chosen…

Q: How many ways are there to choose first, second, and third prizes in an art contest with 18 entries?

A: Introduction:According to the permutation rule, if r distinct items are to be chosen from n items…

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: License plates in a certain state start with 3 letters (but they don’t use I or W) and then 3…

A:

Q: A race has 16 runners. In how many ways can they finish in first, second, and third place?  48  560…

A: The objective of this question is to find out the number of ways in which 16 runners can finish in…

Q: A baseball team has 13   players. How many 9​-player batting orders are​ possible?

A:

Q: In a lottery game, a player picks 8 numbers from 1 to 49. How many different choices does the player…

A: From the provided information,The player has to pick 8 numbers from 1 to 49.

Q: 28 cars are in a race. In how many different ways can cars finish in the top 4 positions?

A:

Q: There are 58runners in a race. How many ways can the runners finish​ first, second, and​ third? How…

A: From the provided information, There are 58 runners in a race. The runners finish first, second and…

Q: How many different ways are there to choose a dozen donuts from the 21 varieties at a donut shop

A: The given information is that there are 21 varieties of donuts at a donut shop, and we want to…