A sales assistant is hanging 11 sweaters on a rack. He has 5 black sweaters, 4 green sweaters, and 2 white sweaters. In how many distinct orders can the sweaters be arranged if two sweaters of the same color are considered identical?

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

A:

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: A grocery store has 5 checkout counters and 8 clerks. How many different ways can the 8 clerks be…

A:

Q: The Diaz family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There…

A: The objective of this question is to find out the total number of different furniture sets the Diaz…

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

A:

Q: The table d'hote (complete meal) at a french restaurant consists of a salad, enree, and a dessert.…

A: There are 2 salad choices, 5 entrée choices, and 3 dessert choices.

Q: An ice cream store has 30 flavors to select from. A customer who is a connoisseur of ice cream wants…

A: We have to select three different flavors from a ice cream store which has 30 flavors. Since, here…

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: a law firm has 8 male and 6 females lwayers. a committee of 5, two male lawyers and 3 female…

A: The objective of this question is to find out the number of possible committees that can be formed…

Q: The density function of X is given by If E(X)=, find a and b. f(x) = a + bx², 0≤x≤1.

A: As per our guidelines we can solve first question and rest can be reposted.

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: Each marble bag sold by Deshaun's Marble Company contains 5 orange marbles for every 6 green…

A:

Q: How many outfits can be made with three tops, nine pants, and two jackets?

A: There are 3 tops, 9 pants and 2 jackets. Now, to choose 1 dress  from 3 tops and 9 pants, there are…

Q: Each packet of washing powder carries a token and four tokens canbe exchanged for a free packet. How…

A: The problem is asking us to find out how many free packets of washing powder we can get if we buy 64…

Q: football team has 11 players on the field at a time. There are 20 total players on the roster. How…

A:

Q: a card store received a shipment of 12 cartoons of sports cards . Each cartoon contains 20…

A:

Q: Ladonna has 7 books to place on a shelf. How many possible arrangements of all 7 books are there?

A: Given,Total no.of books=7

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.