A baseball coach is determining the batting order for the nine players she is fielding. the coach has already decided who will bat first and second. How many different batting orders are possible?   Enter your answer as a whole number (not in factorial notation)

Q: EVO, 25,000 contestants in the Super Smash Bros. tournament were surveyed out their main character.…

A: To find the probability that a contestant who main Mario does not like playing as Dr. Mario:

Q: Myra is picking 6 roses from a 12 bases.is it a permutation or a combination and why?

A: Combination of a number of object is the arrangement of objects without considering the order, while…

Q: License plates in a particular state display 2 letters followed by 5 numbers. How many different…

A: According to the provided data, license plates in a particular state display 2 letters followed by 5…

Q: 20 people enter a writing contest. In how many ways can the 1stprize, 2ndprize, and 3rdprize be…

A: According to the given statement

Q: There are 12 people that have entered a gaming tournament with prizes for 1st place, 2nd place, and…

A: Given: n = 12r = 3

Q: Kristen's financial advisor has given her a list of 12 potential investments and has asked her to…

A:

Q: There are 11 different varieties of food available at a restaurant. The number of ways that 3…

A: given n=11 r=3

Q: Which of the following notations could be used to determine the total number of possible ways in…

A: We have given that total of 500 attendees from which 15 were elected as Board of Directors. Three of…

Q: A couple has narrowed down the choices of a name for their new baby to 4first names and 5 middle…

A: Number of ways to choose r object from n objects  =ncr

Q: Which word has the most permutations of its letters? abbas aabbcc books bikes

A: To select the word which has the most permutations of its letters. Word 'abbas' has five letters…

Q: A DJ is preparing a playlist of 17 songs. How many different ways can the DJ arrange the first six…

A:

Q: You have picked out 7 of your favorite CDs to play. How many different orders are there to play 4 of…

A: Given information- Total number of CDs = 7 We have to find the number of orders is there to play 4…

Q: HoW Many ways can 7 keys be arranged on a key ring?

A: Part 1. The number of ways 7 keys can be arranged on a key ring =

Q: C) How many ways to rearrange all the letters in the word HORSE?

A: We will look at two different ways to solve this in the below step.

Q: Find the number of permutations of the letters in the word COCONUT.

A: Here, the word coconut has total 7 latter . Now there are repetition in latter C and O. Here, C is…

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A: consider the given data on ice cream parlor has 32 different flavors. A super sundae allows a person…

Q: Using the letters in the word “SQUARE”, How many 6-letter arrangements, with no repetitions, are…

A: In the letter SQUARE, there are 3 vowels. A, U and E   Given that the first letter is a vowel. So we…

Q: ADJ is preparing a playlist of 20 songs. How many different ways can the DJ arrange the first six…

A:

Q: A planning committee for a major development project must consist six members. There are eight…

A: Combination:The number of different selections of ‘r’ elements from a set of ‘n’ elements is denoted…

Q: There are 11 different varieties of food available at a restaurant. The number of ways that 3…

A: Simply use the formula of permutations of r things out on total n things.

Q: There are 6 books on a book shelf. In how many ways can you arrange the books on your shelf? Note:…

A: The number of books on a shelf = 6 There are 6 books can be arranged in 6 different places on a…

Q: (5a) Find the possible combinations of 3 letters chosen from 4 letters.

A: We have to find the possible combination of 3 letters chosen from 4 letters.

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A: By combination method:- nCr = n!/r!(n-r)!

Q: There have been 87 movies in history that have won the Best Picture Oscar. Movie critics are asked…

A:

Q: How many distinct arrangements of the letters in the word FOOTBALLLERS are possible? 40,320,100…

A: We have to find the distinct arrangements of the letters in the word FOOTBALLLERS.

Q: A DJ is preparing a playlist of 16 songs. How many different ways can the DJ arrange the first five…

A: Solution: If there are n objects and are arranged with the order r, then the permutation should be…

Q: Baseball In the American Baseball League, a designatedhitter may be used. How many batting orders is…

A:

Q: A group of 10 people is choosing a chairperson and vice-chairperson. They put all 10 people's names…

A: A group of 10 people is choosing a chairperson and vice-chairperson. They put all 10 people's names…

Q: The number of distinguishable arrangements of all the letters of the word SUCCESS is ) 420 5 028 5…

A: The number of ways n items can be arranged, out of which, p items are of one kind and q items are of…

Q: Ramona is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is…

A: Topic- permutations and combinations

Q: Ferris wheel has 15 cart seats. In how many possible ways can 15 people arrange themselves in the…

A: solution: The number of ways 15 people can be seated abreast = 15! =1307674368000  This is also the…

Q: A company that makes crayons is trying to decide which  5  colors to include in a promotional…

A:

Q: Find the number of ways in which 9 different computer games can be shared out between Wainah, Jingyi…

A: Here there are 9 different computer games that can be shared between Wainah (W), Jingyi (J) and Hebe…

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A:

Q: A contractor has six styles of homes, each with six styles of garages, three styles of decks, and…

A: The different possible homes are calculated below: From the given information, the contractor has…

Q: To win the jackpot, 5 different numbers are randomly selected from 1 to 45 and one number from 1 to…

A: To win the jackpot, 5 different numbers are randomly selected from 1 to 45 and one number from 1 to…

Q: Suppose you select five cards from an ordinary deck of cards (52 cards). How many different 5 card…

A: Total number of cards = 52 To select the cards = 5 To find different 5 card holders are there

Q: Q8. How many strings with seven or more characters can be formed from the letters in EVERGREEN?

A:

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A: Permutation of Multiset: The Permutation of n different objects when n1 objects among ‘n’ objects…

Q: Arne, Bob, and Chuck have reserved three seats in a row at the theater, starting at an aisle seat.…

A: Given problem Given that   Arne , Bob and Chuck have reserved three seats in a row at the theatre.…

Q: You have 5 volunteers for a play with 5 characters in it. How many ways can you cast this play?

A: We have to find given no of ways..

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A: Use permutation

Q: There are 11 different varieties of food available at a restaurant. The number of ways that 3…

A: n = 11 r = 3

Q: 2. Identify the pattern in the list of numbers. Then use this pattern to find the next number. 4, 8,…

A: In this question, we have to find out algorithm in pattern and solve for next number.

Q: There are 9 books on a book shelf. In how many ways can you arrange the books on your shelf? Note:…

A: There are 9 books on a books shelf. That is, n=9

Q: Which notation expresses the number of permutations of 9 items taken 6 at a​ time

A: Number of permutations of n items taken r at a time is given by Pn, r=Prn=n!n-r!

Q: 10. During the General Parent- Teacher Assembly, with a total of 500 attendees, 15 were elected as…

A: Here 500 ia the total general teacher and 15 is selected and 3 of major positions are to be chosen.

Q: Six girls were asked to sit in a round table in how many ways can they be seated

A: GIVEN  Six girls were asked to sit in a round table

Q: There is a nascar race going on with 53 drivers. How many different combinations can finish is the…

A: From the given information, the nascar race going with 53 drivers. One of the 53 drivers reach the…

Q: 9.) There are 347 NCAA teams today. a.) How many ways can there be to get the top 10 winners? b.)…

A: GIven, There are 347 NCAA teams today. n = 347     Formulae: Permutation: Prn = n!(n-r)!Where,n =…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.