*For the following scenario, state whether it involves a permutation or a combination, then find the number of possibilities. The batting order for nine players on a 12 person team.

Q: Assume that you have a 52-card deck at hand and you are planning to draw 6 cards from the deck. How…

A: We have,Number of cards in deck = 52Number of cards are planning to draw from deck = 6

Q: How many students went to have gone to spain and france but not germany?

A: The Venn diagram is ,How many students went to have gone to Spain and France but not Germany?

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

A:

Q: Paula’s Pie Shop offers 23 different pie fillings, each available in 8 different sizes and 4…

A:

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: The 14 teams in the local Little League are listed in the newspaper. How many listings are possible?

A: In this case, there are 14 teams in the local little league.

Q: A store sells 8 kinds of balloons with at least 30 of each kind. How many different combinations of…

A: 8 kinds of balloons with at least 30 of each kind We have to find how many different combinations of…

Q: Solve the given initial-value problem. y(x) = 5y"+y' = -4x, y(0) = 0, y'(0) = -20

A:

Q: A bag contains 5 red marbles, 3 blue marbles, and 1 green marble. Find P(not blue).

A: Given information- A bag contains a total of 9 marbles (5 red marbles, 3 blue marbles, and 1 green…

Q: There are nine shirts in your closet,f ive blue and four green. Three of the blue shirts and two of…

A: Given that, There are 9 shirts in the closet in which 5 are blue and 4 are green. 3 of the blue and…

Q: The Diaz family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There…

A: The objective of this question is to find out the total number of different furniture sets the Diaz…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: A family has 4 children.  How many different boy/girl orders are possible?

A: When a family has a child there are two possibilities either a boy or a girl.

Q: in a survey of 80 fifth grade students who play soccer,basketball,or both,60 students play and 40…

A: Form the given information, In a survey of 80 fifth grade students who play soccer, basketball or…

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: The Hickory Stick has a selection of 4 meats and 7 vegetables. How many different selections of one…

A:

Q: State if this scenario involves a permutation or a combination. Then find the number of…

A: 15 applicants for four jobs : : Computer Programmer, Software Tester, Manager, andSystems Engineer.

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: A person has 3 shirts, 2 pants and 5 shoes. How many combinations can be made?

A: GivenA person has no.of shirts=3No.of pants=2No.of shoes=5

Q: A bag of 10 apples contains 3 rotten apples and 7 good apples. A shopper selects a sample of 4…

A: The problem is asking us to find the number of ways to select 4 apples from a bag of 10 apples, such…

Q: In the Summer Olympics, there were eight runners in the final of the men's 100 meter dash. This race…

A: There are six non-USA runners, and we want to find the number of possible podium finishes that don't…

Q: A baseball team has 14 players. How many 9​-player batting orders are​ possible?

A: Given : A baseball team has 14 players.

Q: Find the combination A volleyball team has 15 players, two coaches, and three managers. In how many…

A: 15 players 2 coaches 3 managers 20 total people     how many ways can nine people sit in the front…

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

A:

Q: Natalie has homework in seven subjects. She is deciding what order to complete them in. Here are the…

A:

Q: There are 24 students playing basketball at lunch. How many different three-person teams can be…

A:

Q: There are 9 different types of dressing at a store. How many different orders can the stocke place 5…

A:

Q: A salesperson wants to display five bracelets in the store window. There are a total of nine…

A: Total no.of bracelets=9

Q: You visit a store. You have your choice of 3 shirts, 4 pants, and 3 pairs of shoes. How many…

A: Given that you have your choice of 3 shirts, 4 pants, and 3 pairs of shoes.  We want to find…

Q: Assume that you have a 52-card deck at hand and you are planning to draw 5 cards from the deck. How…

A: The number of cards in the deck is 52.The number of cards to be drawn is 5.In order to obtain a…