Suppose there are 21 different competitors at a barbeque competition. Judges are going to award 5 places. How many different ways can the competition finish?

Q: When you buy a one-dollar ticket for a state's lottery, you are trying to match 5 numbers drawn from…

A: Match 5 numbers from 45 numbers in any order without replacement to win. Total possible winning…

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: How many ways can you choose first, second, and third place winners from 15 people?

A: The first place winner can be chosen as 15 ways. The second place winner can be chosen as 14 ways…

Q: How many ways can 8 runners line up in a race

A: Draw the 8 lines and find the way that how many possible ways for 8 athletes on each place.

Q: A senior inspector will inspect 10 rooms this week. (d) To have a fair representation, how many…

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Q: How many ways can first and second place be awarded to 12 racers?

A:

Q: B) People shopping at the grocery store are interviewed to see whether or not they enjoy artichokes.…

A: In this case, each sampled person has the only options of "like" (defined as success) or "dislike"…

Q: You must select 3 individuals from a group of 5 for a conference. How many teams of 3 might you…

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Q: The University of Montana ski team has eleven entrants in a men's downhill ski event. The coach…

A:

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: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

A:

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: to win a lotto in one state, one must correctly select 6 numbers from a collection of 5 numbers (one…

A: In the question, it has to be select 6 numbers from a collection of 55 numbers (one through 55),…

Q: The area to the right of z is 0.1292.   (e) The area to the left of z is 0.7088.   (f) The area to…

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Q: There are 15 boys and 12 girls that try out for a chorus. The choir director will select 10 girls…

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Q: How many ways can 9 runners finish a race?

A:

Q: There are 8 performers who are presenting their acts at a variety show. How many different ways to…

A: We can pick the first performer in 8 ways. Second in 7 ways. Third in 6 ways. Fourth in 5 ways.…

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

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Q: Mary wants to organize a party with only 10 people. In how many ways can she choose those 10 people…

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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: .Carmi is ranked 13th from right and 8th from left. How many students are there in total?

A:

Q: There are 30 people in the class. We need to select 5 people to form a the committee, how many…

A:

Q: There are 14 finalists in a singing competition. The top six singers receive prizes. How many ways…

A: Given data: 14 = finalists  in singing competition Top six singers receives price. To find: How many…

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: Your school principal wants to select a group of six students from your class of 15 students to…

A: Combination: A combination is a selection of items from a group of items, where the order of…

Q: How many ways can seven people line up at a ticket window?

A: There are 7 people. n=7

Q: A mother duck lines her 13 ducklings up behind her. In how many ways can the ducklings line up?

A: The objective of this question is to find out the number of ways in which the 13 ducklings can line…

Q: How many ways can 4 officers be elected from 12 candidates?

A: From the provided information, There are 12 candidates from which 4 officers will be elected.

Q: The Cincinnati Angry Unicorns is a local swimming team which currently has seventeen members. If…

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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: dance company has 10 dancers, from which 6 dancers will be selected to perform together. How many…

A: GIVEN DATA, a dance company has 10 dancers, from which 6 dancers will be selected to perform…

Q: A club with 25 members is selecting a committee of 6 people. In how many ways can this be done?

A: *concept:- use defination of Combination.

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: A mother duck lines her 7 ducklings up behind her. In how many ways can the ducklings line up?

A: The objective of this question is to find out the number of ways the 7 ducklings can line up behind…

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.