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

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: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

A:

Q: A club with 29 members is to select a committee of five persons. In how many ways can this be done?

A: In a committee, we select the persons as a group. So the arrangement does not matter. So we will use…

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

A:

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…

A:

Q: How many different ways can 5 cellular cellphones be selected from 8 cellular phones?

A: Given,total no.of cellular phones=8

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: 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: 15 participants have written their names on small sheets of paper for a raffle. Show different ways…

A: its a combination based question

Q: here are 6 contestants in a singing contest grand final. How many ways can we choose a grand…

A: Given there are 6 contestants in a singing contest grand final.

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: There are 34 students in a high school senior class. In how many ways could the yearbook choose the…

A:

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: You need to rank 4 types of coffee. How many ways are there to rank them?

A: The objective of this question is to find out the number of ways to rank 4 types of coffee. This is…

Q: There are 57 runners in the race. How many ways can the runners finish first second and third.

A: given data, there are 57 runners in the race we have to find out the no. of ways can runners finish…

Q: The president has a team of 20 trusted bodyguards. In how many ways can the president choose 5…

A: Given,  The president has a team of 20 trusted bodyguards  We have to find the number of ways of…

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 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…

Q: igh school classes will be chosen to participate in a school activities survey. There are 21 high…

A: Given:6 high school classes will be chosen to participate in a school activities survey.There are 21…

Q: A school group is deciding how to line up its 10 members for a photo. The president will go first.…

A:

Q: 2. Your friend Carlos brought over 10 videos. Together, you choose 4 of them to watch. How many…

A:

Q: 1) There are 6 multiple choice questions on an examination paper. How many ways can a student answer…

A: Given :  There are 6 multiple choice questions on an examination and if there are first 3 questions…

Q: how many seating arrangements can be done? (

A: here given ,  there are 6 girls and 5 boys in class

Q: There are 7 boys and 3 girls in a class. How many different ways can the classroom teacher create a…

A: From the given information,   Number of boys = 7 Number of girls = 3   Total = 10

Q: dinner special allows you to select from 10 appetizers, 6 salads, 8 entrees, and 6 beverages. How…

A: To find the number of different dinners can be formed if it allows selecting from 10 appetizers, 6…

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.