There are 125 students in a class. At least how many students came from the same state if there are 16 states in the country? *

Q: There are 22 students in a fraternity. In how many ways can a committee of 6 students be selected?…

A: Given that Number of students=22 Number of students selected=6

Q: There are 11 different flavors of jelly beans in a jar. You reach in and grab 7 jelly beans. How…

A: From the provided information,There are 11 different flavors of jelly beans in a jar. You reach in…

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: 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: 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: Of 20 possible books, you plan to take 9 with you on vacation. How many different collections of 9…

A:

Q: Sixteen people decide to play softball. In how many ways can the 16 people be divided into 2 teams…

A: There is total 16 people decide to play softball.

Q: Forty-eight students said they had a computer or a TV in their room. Thirty-five have a computer and…

A: 48 students said they had a computer or a TV in their room35 have computer 20 have a TV

Q: A school has 3 computer labs with 9 computers in each. How many computers are there in the school?

A: A school has 3 computer labs with 9 computers in each. We need to find how many computers are there…

Q: In ms. Persons class, 75% of the students are boys. There are 18 boys in the class. What is the…

A: Given 75% are boys.

Q: A student organization of 12 wants to select a president, a vice-president, and a treasurer. How…

A: A student organization of 12 wants to select a president, a vice president, and a treasurer.i.e.…

Q: A company has 42 employees. How many different ways can 7 people be chosen to serve on a committee…

A: We can choose the 7 persons in 42C7 ways  Where 7 people are chosen then there are (42-7)=35 people…

Q: There are 30 runners entered in this year’s Terre Haute Marathon race. How many different ways can…

A: Given: 30 runners have entered a Marathon race. Required: To find the number of different ways 30…

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: A coffee shop serves 14 different kinds of coffee drinks. How many ways can 5 different coffee…

A: The objective is to find the number of ways in which 5 different coffee drinks can be selected from…

Q: 27 cars are in a race . How many different ways can cars finish in the top 4 positions?

A: Solution Given 27 cars are in race .to find different many ways can cars finish in the top 4…

Q: the track team has 20 members and will be sending 5 members to the next competition. how many 5…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! The track…

Q: If there were only 9 Runners on the team last year how many females were there on the team this year

A:

Q: A doctor visits her patients during morning rounds. In how many ways can the doctor visit 7 patients…

A: Given Number of patients=7

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

A:

Q: Three hundred fifty 10-year olds registered for a city wide bowling tournaments if 205 participants…

A: In a tournament Total 10 years olds registered = 350

Q: A DJ is preparing a playlist of 21 songs. How many different ways can the DJ arrange the firstsix…

A:

Q: An awards dinner is being planned by an organization. Answer the following questions concerning its…

A:

Q: A box has 15 pens in it, a class buys 5 boxes, how many pens are are in all boxes?

A:

Q: There are 7 members on the track team. If one of the team members is a friend from your home town,…

A: Number of people in the track team is 7. If one of them is the friend, then from the remaining 6…

Q: A teacher gives a test with 17 questions. Students are allowed to choose any thirteen to answer. How…

A:

Q: Suppose 58 cars start at a car race. In how many ways can the top 3 cars finish the​ race?

A: We have to find no of  ways can the top 3 cars finish the​ race...

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

A: Given : A baseball team has 14 players.

Q: A designer has designed different tops, pants, and jackets to create outfits. How many different…

A: Given six tops, five pants, two jackets

Q: rticipate in a competition. Calculate how many different ways the first, second and third can be…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…

Q: A candy manufacturers produces Halloween surprise bags by filling bags with 5 different surprises.…

A: It is given that a candy manufacturers produces Halloween surprise bags by filling bags with 5…

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

A:

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

A:

Q: A pizza restaurant has 11 toppings. How many different 4 topping pizzas could be made

A:

Q: There are eight swimmers competing in the 500 meter freestyle. In how many ways can they place in…

A:

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.