A sales assistant is hanging 11 sweaters on a rack. He has 3 brown sweaters, 2 gray sweaters, and 6 green sweaters. In how many distinct orders can the sweaters be arranged if two sweaters of the same color are considered identical (not distinct)?

Q: Find the number of different ways that an instructor can choose 7 students from a class of 16…

A: No. of students in a class for field trip(n)=16No. of students that an instructor can choose(r)=7

Q: For the grooms men, we had outfits picked out. We had 3 different dress shirts, 3 different styles…

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

Q: A grocery store has 4 brands of crackers and 8 different varieties of cheese. How many ways can Josh…

A:

Q: Apple decided to give an apple watch to the first person in line, an iPhone to the second person in…

A: From the given information, Apple decided to give apple product to all three persons who stand up in…

Q: There are 6 athletes at a track meet. How many different ways can they finish first or second?

A: Answer:- Given, Total number of athletes at a track meet = 6  We need to find the number of ways can…

Q: A sales assistant is hanging 13 sweaters on a rack. He has 3 gray sweaters, 4 green sweaters, and 6…

A: Where, n= total number of sweaters=13n1=gray sweaters = 3n2=green sweaters = 4n3=brown sweaters = 6

Q: A ice cream store offers 7 ice cream flavors and 12 toppings. If you want to eat 3 different ice…

A:

Q: the diaz family is selecting a furniture set. a furniture set has a bed, a desk and dresser. there…

A: Given The different choice of beds = 2 The different choice of dresser = 2 The different choice of…

Q: A man has 3 different pairs of shoes, 8 different pairs of socks, 4 different pairs of slacks, and 2…

A: We have given that 3 different pairs of shoes 8 different pairs of socks  4 different pairs of…

Q: Ms. Goodman has 18 students in her first-grade class. In how many ways can 4 students be picked to…

A: We will use combination metod for solving this question.

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

A:

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: An architect designs a theatre with 6 seats in the first row, 7 seats in the second, 8 in the third,…

A:

Q: There are 6 boys playing soccer. 3 boys go home. Then 1 more boy goes home. How many boys are there…

A: Given that there are 6 boys playing soccer, 3 boys go home then 1 more boy goes home. We have to…

Q: Mr. Jordan is traveling to Helsinki Finland with his Gibson Les Paul guitar for a competition during…

A: To find: How many different ways can he travel from Toronto to Helsinki.

Q: Deandre is arranging 11 cans of food in a row on a shelf. He has 7 cans of carrots, 3 cans of beans,…

A:

Q: A person has 3 shirts, 2 pants and 5 shoes. How many combinations can be made?

A: GivenA person has no.of shirts=3No.of pants=2No.of shoes=5

Q: Jana has 10 blouses, 5 pairs of shoes, 5 skirts,and 5 hats. How many distinct 'outfits' does she…

A: No.of blouses=10 no.of pairs of shoes=5 no.of skirts=5 no.of hats=5

Q: Find the number of different ways that an instructor can choose 7 students from a class of 12…

A: Here we have to find the number of different ways that an instructor can choose 7 students from a…

Q: There are 24 students playing basketball at lunch. How many different three-person teams can be…

A:

Q: How many different committees can be formed from 6 teachers and 48 students if the committee…

A: Given,no.of teachers=6no.of students=48

Q: An ice cream store stocks 30 different flavors and offers rainbow banana boat split that contains 3…

A: Given, An ice cream store stocks 30 different flavors  It offers rainbow banana boat split that…

Q: Find the number of different ways that an instructor can choose 5 students from a class of 13…

A:

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

A:

Q: Find the number of different ways that an instructor can choose 7 students from a class of 23…

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.