How many different groups can be formed for Prom King and runner up when there are 7 candidates? Type the number only

Q: At a NASCAR racing event, how many different finishes among the first 5 places are possible if 30…

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: There are 91 golfers in today’s golf tournament. How many ways can first, second, and third be…

A: The first can be picked in 91 ways  Second in 90 ways  Third in 89 ways

Q: How many different ways are there to select three dozen colored roses if red, yellow, pink, white,…

A: Solution-:Given: Available roses - red, yellow, pink, white, purple, and orange We want to find how…

Q: There are 75 golfers in today’s golf tournament. How many ways can first, second, and third be…

A: Solution: From the given information, there are 75 golfers. Suppose there are n objects are arranged…

Q: Four members from a 14 members committee are to be randomly selected to serve as a Chair, a…

A: The number of members is 14.

Q: A sales representative must visit nine cities. There are direct air connections between each of the…

A: We have to find correct answer for given data..

Q: en and seven women in a ballroom dancing class. If four men and four women are chosen and paired…

A: men = 6  women = 7 Total = 6+7 = 13 The number of ways that 4 men and 4 women are selected are:…

Q: There are 7 seniors on the high school soccer team. Two of them will be chosen to be co-captains.…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: Several states participate in Hot Lotto, a lottery that requires choosing 5 of the numbers 1-39 and…

A: It is given that lottery  requires choosing 5 of the numbers 1 to 39. Substitute n=39,r=5 in…

Q: Bryan decides to have a movie marathon if he has 6 movies he wants to watch but only has time to…

A: Combination: It means selection. If there are n number of item out of which r to be chosen then the…

Q: in a volleyball club there are 5 senior players and 5 junior players. If the team captain election…

A: Total number of players = 10 Total number of players in volleyball team = 6   Number of ways in…

Q: In a box there are: 11 red books, 7 white books and 4 blue books. Five books are randomly selected.…

A: From the above data  We are given that  11 red books, 7 white books and 4 blue book

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

A:

Q: 10 people is choosing a chairperson and vice chairperson

A: Given that   A group of 10 people = (n)=10 We have to select two people from total 10 people.…

Q: A person going to a party was asked to bring 3 different bags of chips. Going to the store, she…

A: person going to a party was asked to bring 3 different bags of chips. Going to the store, she finds…

Q: Find the number of 8 card hands that have 2 red cards and 6 black cards. (Two of the suits are red…

A:

Q: how many different ways can 15 runners finish in the first five places of a race?

A: It is given that n is 15 and r is 5.

Q: How many ordered lists are there of seven items chosen from eight? ordered lists

A: Given n=8 r=7

Q: There are 12 students in a high school senior class. In how many ways could the yearbook choose one…

A: The objective of this question is to find out the number of ways in which one student can be chosen…

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

A:

Q: In a classroom there are 28 tablets which includes 5 that are defective. If seven tablets are chosen…

A: No.of defective tablets=5No.of non defective tablets=23

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

A:

Q: In a classroom there are 28 tablets which include 5 that are defective. If seven tablets are chosen…

A: In a classroom there are 28 tablets which includes 5 that are defectiveTotal number of tables…

Q: In a lottery, 6 different numbers are chosen from 1 to 44. How many different lottery tickets are…

A: Combinations are a way to calculate the total outcomes of an event where order of the outcomes does…

Q: A group of 16 people is choosing a chairperson and Vice- chairperson. They put all 16 people's names…

A: The permutation formula is

Q: There are 40 students in the senior class. three of the students will be chosen to be the President,…

A:

Q: 14 people try out for a basketball team, how many different ways are there to select 5 players if…

A: Given information: Total number of people who try out for a basketball team(n)=14. Number of…

Q: During the Computer Daze special promotion, a customer purchasing a computer and printer is given a…

A: Since we have given thatNumber of free software packages is given as a choice =6Total number of…

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.