At Mr. Furry’s Dance Studio, every man must dance the last dance. If there are five men and eight women, in how many ways can mixed gender couples be formed for the last dance? Is it a permutation, combination or Neither

Q: In how many ways can 8 boys and 7 girls be arranged on a bench if: a. boys and girls are in…

A: There are : 8 boys and 7 girls We will use the principle of permutation and combination here The…

Q: A casting director wishes to find one male and one female to cast in his play. If he plans to…

A:

Q: Suppose you are taking a bus trip from your home in Florida to California. There are seven different…

A: Given that we are taking a bus trip from your home in Florida to California. There are seven…

Q: In how many ways could a club of 13 members choose a president, vice president, and treasurer

A: Total members = 13 The total number of ways that a club of 13 members choose a president, vice…

Q: The Student Council at a certain school has ten members. Four members will form an executive…

A: Given,  The student council at a certain school has ten members.

Q: As the project manager of a project, you are in charge of a team of seven people which includes…

A:

Q: At Mr. Furry's Dance Studio, every man must dance the last dance. If there are six men and nine…

A: Given that there are six men and nine women and every man must dance the last dance. Here total…

Q: A club consists of 9 men and 12 women. In how many ways can they choose a president, vice president,…

A: Given, A club consists of 9 men and 12 women.  Combination Formula: A combination of r elements of a…

Q: Four married couples have bought 8 seats in the same row for a concert. In how many diff ways can…

A: Given: Four married couples have bought 8 seats in the same row for a concert.

Q: how many ways can 5 textbooks, 3 coffee table books and 2 novels be arranged if the textbooks must…

A: This question is from permutation We have to calculate, in how many ways 5 textbooks, 3 coffee table…

Q: Mark bought some fruits, 1/5 of the fruits are avocados, 1/3 are star apples and 2/7 of the…

A: Given : Mark bought some fruits, 1/5 of the fruits are avocados, 1/3 are star apples and 2/7 of the…

Q: In a middle school class, there are 7 students. A) In how many ways can all 7 students be arranged…

A: Given data: The total numbers of students are n=7. A) The expression for the number of ways of…

Q: A staff car park at a university has 13 parking spaces in a row. There are 9 cars to be parked.…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: In how many ways can 3 novels, 4 mathematics books, and 1 biology book be arranged on a bookshelf if…

A: Given, 3 Novels N1, N2, N3 4 Mathematics M1, M2, M3, M4 1 Biology B1

Q: ee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 6 freshmen, 7 sophomores,…

A: The selection of elements without arrangement can be represented by a combination of elements. We…

Q: In one class 18  students play basketball, 14 students play soccer and 10 students play volleyball.…

A: You can solve this question using the Venn diagram.

Q: How many different ways can you arrange 10 students (4 students with blonde hair, 2 students with…

A: Total Number of students = 10 Number of students with blonde hair = 4 Number of students with black…

Q: In a standard deck of 52 cards and 4 suits, how many cards have to be picked to be sure that at…

A:

Q: Suppose you choose 9 cards from a standard 52-card deck (with 13 hearts, 13 spades, 13 clubs and 13…

A: A standard 52-card deck contains 13 hearts, 13 spades, 13 clubs and 13 diamonds and probability of…

Q: Classify the problem as a permutation, a combination, or neither.   At Mr. Furry's Dance Studio,…

A: GivenNo.of men=5No.of women=8

Q: In how many ways can seven gentlemen and three ladies be seated in a round table if: (a) there are…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: In how many ways can four English books, three statistics books, three chemistry books and two…

A: Number of English books = 4 Number of statistics book = 3 Number of chemistry book = 3 Number of…

Q: How many ways can a group of five boys and five girls be seated in a row of ten seats if boys and…

A: Here we have to find no. Of ways in the given problem.

Q: how many ways can four doctors and three nurses be seated in a row if the doctors and nurses are to…

A: Given that :  D represent doctors .  N represents nurses.  Arrangement in which Doctors and Nurses…

Q: A person has 4 dress shirts, 3 ties, and 7 jackets. In how many ways can that person select a dress…

A: Given: A person has 4 dress shirts                                3 ties…

Q: there are 651 6th grade students at a school, and three out of every seven of them play a sport, how…

A: Given   Number of 6th grade students : 651   If 3/7 plays sports,    Then who don't play a sports…

Q: A group of 30 people have been trained as astronauts to go on the first mission to Mars. How many…

A: Given that, The total number of people in the group is 30. And, a crew of six people to go on a…

Q: In how many different ways can five red flags, two white flags, and 7 blue flags be arranged in a…

A: If all the flags were distinct, each flag being a different color, there would be 14! different…

Q: .There are four couples want to have their dinner in a round table . In how many ways can they…

A: From the given information, there are four couples want to have their dinner in a round table. Note:…

Q: A girl owns 1 pairs of pants, 7 shirts, 2 ties, and 8 jackets. How many different outfits can the…

A: Given that Pants=2 Shirts=7 Ties=2 Jackets=8  Total diffrent outfits=2*7*2*8 Total different outfits…

Q: There are 12 people that have entered a gaming tournament with prizes for 1st place, 2nd place, and…

A:

Q: There are 7 women and 6 men signed up to join a ballroom dance class. In how many ways can the…

A: Given: Number of men = 6 Number of women = 7 Number of people to join dance class = 4

Q: Your car seats 5 people, including the driver. You have 8 friends who all need you to drive them…

A:

Q: 40 Ponzi schemers are on the government's hit-list. In how many ways can the government name 3 of…

A: Solution-: There are 40 Ponzi schemers are on the government's hit-list. Top most 3 evil Ponzi…

Q: The principal wants to have a teacher committee on non-semestering. There are 11 secondary teacher…

A: Determine the number of ways that the principal can form a committee of 5 if there must be at least…

Q: A committee consists of 5 people Smith,Jones,Clark,Brown and White in how many ways can the members…

A:

Q: In how many ways can 7 male students be arranged in a row if Hanz and Fitch insist next to each…

A:

Q: A company has 10 software engineers and 6 civil engineers. In how many ways can they be seated…

A:

Q: coffee shop offers 14 different types of flavor shots. If a customer can choose any number of flavor…

A: Given a coffee shop offers 14 different types of flavor shots.

Q: Four married couples have bought 8 seats in the same row for a concert. In how many ways can they be…

A: Given: Number of seats = 8

Q: A mother of 8 wanted to attend a party but only 5 children can be fit in her car. In how many ways…

A:

Q: how many ways can 2 men, 3 women, 4 boys, and 5 girls be selected from 4 men, 5 women, 6 boys and 7…

A:

Q: There are four boys and four girls at a party. In how many ways can they be seated in a row if they…

A:

Q: How many ways are there to sit the committee in a row at a meeting if the students must sit together…

A: This is question from permutation and combination

Q: 3. Marty is a bookworm and he has various collections of novels, series and other story books. If he…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A bride is choosing a dress for her bridesmaids. If there are 5 styles, 2 colors, and 7 fabrics, in…

A: There are 5 styles, 2 colors, and 7 fabrics.

Q: Sarah has ten colored pencils that are all unique. She wants to pick three colored pencils from her…

A: Given that  Sarah has ten colored pencils that are all unique. She wants to pick three colored…

Q: A student is given a reading list of ten books from which he must select two for an outside reading…

A: Given that the student has a list of 10 books from which he has to select 2 books

Q: Sunwoo’s closet contains 15 different styles of jacket. In how many ways can New pick out four…

A: The total number of jacket is 15 and number of different style of jacket is 4.

Q: If there are five different toy cars, and you want to put fifteen toy cars on the display, how many…

A: Permutation is the measurement of principle counting. It is measure that arrange the data in an…

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.