A girl owns 1 pairs of pants, 7 shirts, 2 ties, and 8 jackets. How many different outfits can the girl wear to school if each outfit must consist of one of each item

Q: if there are no restrictions? if Holly and Sam cannot sit together?

A: here given ,  Holly, Parker, Jace, Ola, Amir and Sam have gone out to a football game together, They…

Q: During the fall semester a school is offering science courses in physics, biology, and chemistry,…

A: It is given that there are science courses in physics, biology, and chemistry, and humanities…

Q: In a football league, each team plays each of the other teams twice during the season, once at home…

A: Here we will going to use basic concept of Combination.

Q: A restaurant offers 7 choices of main course, 8 sides, 5 appetizers, 7 beverages, and 3 desserts.…

A: Main course  = 7 Sides = 8 Appetizers = 5 Beverages =7 Desserts = 3 We have to find the total number…

Q: A junior executive looking at his business attire in his closet notes that he has five suits, six…

A: Given, A junior executive has five suits, six shirts, and three pairs of shoes. He is going on a…

Q: A boy owns 6 pairs of pants, 9 shirts, 10 ties, and 4 jackets. (a) How many outfits can he wear to…

A: Given data:     The given pairs of pants are: P=6. The given number s of shirts are: S=9. The given…

Q: In a family of cats, there are 2 un-cool cats for every 3 cool cats. If these cats have 120 paws…

A:

Q: A small high school has 30 seniors, 20 juniors, and 10 sophomores. If 3 students are chosen from…

A: A small high school has 30 seniors, 20 juniors, and 10 sophomores. If 3 students are chosen from…

Q: A restaurant offers a menu with 5 appetizers, 5 main dishes, and 4 desserts.  If Zoey is low on cash…

A:

Q: If there are 12 teams in a basketball tournament and each team must play every other team in the…

A: It is given that 12 teams are in a basketball tournament and each team must play every other team in…

Q: A basketball team consist of two centers, five forwards and four guards. In how many ways can the…

A:

Q: If 3 Americans, 4 British people and 2 French people are to be seated in a row, how many seating…

A:

Q: A boy owns 5 pairs of pants, 8 shirts, 7 ties, and 2 jackets. How many different outfits can he wear…

A:

Q: Juan has 4 ties, 4 shirts, and 6 pairs of pants. How many different outfits can he wear if he…

A:

Q: Juan has 4 ​ties, 6 ​shirts, and 6 pairs of pants. How many different outfits can he wear if he…

A:

Q: In a local recreational soccer league there are 60 men and 252 women signed up to play. The…

A: We need to equally divide men and women and then find when number of team formed from both sides are…

Q: You have 5 Math books, 2 History books, and 4 Science books. How many ways are there to arrange the…

A: If there are n number of distinct objects out of which r objects are selected and then arranged then…

Q: Juan has 4 ties, 7 shirts, and 6 pairs of pants. How many different outfits can he wear if he…

A: Solution: Given information: Number of ties = 4 Number of shirts = 7 Number of pairs of pants = 6

Q: At a dinner party, 6 men and 6 women sit in a round table. In how many ways can they sit if Bob,…

A: Number of ways to arrange N person around the round table is (N-1)!. Here, there are 6 men and 6…

Q: A produce stand sells only broccoli, carrots, and okra. One day the stand served 407 people. If 114…

A: Given that the stand served 407 people, so sample space, n(S)=407 114 people purchased broccoli,…

Q: Juan has 4 ties, 7 shirts, and 6 pairs of pants. How many different outfits can he wear if he…

A: We have given that  Juan has 4 ties, 7 shirts and 6 pairs of pants.

Q: A man owns 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets. How many different outfits can he…

A: Given he has 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets

Q: cafeteria offers a complete dinner that includes one serving each of appetizer, soup, entrée, and…

A: First of all we will list the total different choices we have for each of the things

Q: Find the Combination One freshman, three sophomores, four juniors, and six seniors apply for five…

A: 1 freshman 3 sophomores 4 juniors 6 seniors 14 total people   5 position

Q: You and 3 friends are moving into a new apartment-style dorm. The dorm has 3 bedrooms, one with two…

A: There are totally 4 members. These 4 members must be arranged in 3 bed rooms. One bedroom has two…

Q: A boy owns 7 pairs of pants, 2 shirts, 20 ties, and 7 jackets.  How many different outfits can he…

A:

Q: A president, vice president, and 2 at-large members are selected for a school council from 7 people.…

A: It is given that 4 persons (a president, vice president, 2 at-large members) are selected for a…

Q: An executive as 8 skirts, 8 jackets, and 10 blouses that all coordinate. If an outfit consists of…

A: Given, Number of skirts=8 Number of jackets=8 Number of blouses=10 An outfit consists of 1 skirt, 1…

Q: A laboratory cage contains eight white mice and six brown mice. Find the number of ways of choosing…

A: Given problem is : A laboratory cage contains eight white mice and six brown mice. Find the number…

Q: A boy owns 10 pairs of pants, 6 shirts, 2 ties, and 9 jackets. (a) How many outfits can he wear to…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: A student has a choice of four professors for English, four professors for Mathematics, and two…

A: Total no.of English Professors = 4 Total no.of Mathematics Professors = 4 Total no.of Health…

Q: A man owns 6 pairs of pants, 7 shirts, 8 ties, and 2 jackets. How many different outfits can he wear…

A:

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 girl has 9 skirts, 4 blouses, and 6 pairs of shoes. How many different skirt-blouse-shoe outfits…

A: 5) Given that the girl has 9 skirts, 4 blouses and 6 pairs of shoes. Total number of ways 9+4+6=19…

Q: A cafeteria offers a complete dinner that includes one serving each of appetizer, soup, entrée, and…

A: Given A cafeteria offers a serving of appetizer , soup, entrée and desert. To find the number of…

Q: A basketball fan has a pair of tickets to 6 different home GAMes of the Los Angeles Lakers. If the…

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

Q: A complete meal is composed of 1 cup of rice, 1 viand, 1 glass of drinks and 1 dessert. If there are…

A:

Q: A teacher has 24 colored pencils and 18 pictures to be placed in groups with the same number of…

A: Question 3:             It is given that a teacher has 24 colored pencils and 18 pictures. The…

Q: A boy owns 3 pairs of pants, 1 shirts, 7 ties, and 5 jackets. How many different out he must wear…

A: From the provided information, A boy owns 3 pair of pants, 1 shirt, 7 ties and 5 jackets.

Q: Juan has 5 ties, 4 shirts, and 3 pairs of pants. How many different outfits can he wear if he…

A:

Q: Jodi delivers 54 newspapers on Saturday and 78 newspapers on Sunday she makes bundles of 6…

A: Given: Jodi delivery newspaper on Saturday =54 Jodi delivery newspaper on Sunday =78 She makes…

Q: A boy owns 2 pairs of pants, 3 shirts, 8 ties, and 2 jacket. How many different outfits can he wear…

A:

Q: A bag contains three red marbles, three green ones, one lavender, two yellows, and three orange…

A: Solution: From the given information, a bag contains three red marbles, three green ones, one…

Q: For a Halloween party, each guest can choose from the 6 different kinds of candy to have in a prize…

A: Given,no.of different kinds of candy=8

Q: If I go into an ice cream parlor, and I have the choice of having one of 10 different flavors, with…

A: Given information- No. of different flavors available at an ice cream parlor = 10 No. of different…

Q: A girl owns 5 pairs of pants, 5 shirts, 4 ties, and 2 jackets. How many different outfits can the…

A:

Q: You and 3 friends are moving into a 4-bedroom house and need to decide who gets which room. How many…

A: There is total 4 persons.

Q: A boy owns 2 pairs of pants, 7 shirts, 4 ties, and 5 jackets. How many different outfits can he wear…

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.