Mai is arranging 12 cans of food in a row on a shelf. She has 8 cans of beets, 3 cans of beans, and 1 canof olives. In how many distinct orders can the cans be arranged if two cans of the same food are considered identical (not distinct)?

Q: At the bakery, a box of cookies is made by selecting four cookies from the six types of cookies –…

A: Formula nr = n!r!(n-r)! ; n ! = 1* 2* 3* 4*.. *n   Example : 3! = 1*2*3 = 6   Meaning : Number of…

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: piano teacher is planning to take 4 of her 12 students to a concert. She wants to take 2 girls and 2…

A: Given query is to find the number of arrangement possible.

Q: Mark is working at a manufacturing company of cars and he is tasked to assemble a car. He has the…

A: Given that  Mark is working at a manufacturing company of cars and he is tasked to assemble a car.…

Q: If Tim has 6 apples in each bag and he has 12 bags each, how many apples does he have all together?

A: Use unitary method.

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: 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: There are 12 flavors of ice cream, 5 toppings, and 3 types of cones to choose from at a local ice…

A: Introduction: If r distinct items are to be chosen from n items without replacement so that the…

Q: A parent brings 4 children to a movie and the family sits in a row of 5 seats. How many ways can…

A: There are total 5 members to sit. 4 of them are children and one parent. The parent sit on one one.…

Q: A clown owns 8 hat(s), 7 horn(s), 6 oufits. How many different outfits can the clown put together if…

A: Solution

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: John has 9 boxes of apples. Each box holds 12 apples. If 6 of the boxes are full, and 3 of the boxes…

A:

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: A birthday cake is to have two layers of cake separated by a layer of icing, with another layer of…

A: Given information: The number of layers is 2. The number of kinds of cake is 3. The number of types…

Q: Agustina owns all five books in the Spiderwick Chronicles series. In how many different orders can…

A: Given: Number of books = 5

Q: A class of 15 students will chose between style of course text book; one text for each student. The…

A:

Q: Heidi has 4 necklaces and 6 pairs of earrings. In how many different ways can she select a necklace…

A:

Q: For a new sale a store created a large pyramid display with boxes of cookies. There are 68 cans on…

A: The sequence of the number of boxex of the cookies is 68, 65, 62,  ... , 2. They are in arithmetic…

Q: A landscaper has 8 different flowering plants. She needs to plant 4 of them in a row in a garden.…

A:

Q: Three hungry pirates, Ahab, Bluebeard, and Hook, were stranded on a desert island. They came upon a…

A: Here we solve the problem by algebra.

Q: Bruce has 5 different jackets, 3 pairs of jeans, and 8 pairs of shoes. In how many ways can he…

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.