Pat has 9 flowerpots, and she wants to plant a different type of flower in each one. There are 11 types of flowers available at the garden shop. In how many different ways can she choose the flowers?

Q: A fan of country music plans to make a custom CD with 13 of her 27 favorite songs. How many…

A:

Q: A casting director wishes to find one cat and one dog to cast in his play. If he plans to audition 5…

A: The objective of this question is to find the number of different ways the casting director can…

Q: An appetizer platter has a selection of 88 different appetizers. Mario plans to choose 3.3. How…

A: Number  of different appetizers = 88Mario plans to choose = 3

Q: The University of Montana ski team has twelve entrants in a men's downhill ski event. The coach…

A: There are 12 entrants in a ski event and from these entrants first, second and third places to go to…

Q: The University of Montana ski team has eleven entrants in a men's downhill ski event. The coach…

A:

Q: Jenny White is shopping for CDs. She decides to purchase 5 movie soundtracks. The music store has 9…

A:

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: Paula’s Pie Shop offers 23 different pie fillings, each available in 8 different sizes and 4…

A:

Q: Renata is wrapping a package for a birthday party. She has 4 wrapping paper designs, 5 colors or…

A: There are 4 wrapping paper designs, 5 colors or ribbons and 8 cards to choose from.

Q: Sunwoo’s closet has 18 different styles of jacket. In how many ways can Eric pick out 7 different…

A: Total number of Jackets = 18  Eric need to pick 7 different styles, this can be done in 18C7

Q: Naia has 4 pairs of shoes (white, black, gray, maroon) and 3 bags (red, blue, green). In how many…

A: Given Naia has 4 pairs of shoes and 3 bags we have to find number of shoe-bag combination.

Q: Jenny White is shopping for CDs. She decides to purchase 4 movie soundtracks. The music store has 7…

A: Jenny White need to select 4 CDs out of 7 CDs

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

A:

Q: I am arranging my dog's collars on a 6 hanger coat rack on the wall.  If she has six collars, how…

A: Given that there are 6 hangers and there are 6 collars.  So I can hang the first collar in 6 ways.…

Q: Wes is picking out some movies to rent, and he has narrowed down his selections to 66 dramas, 55…

A: Hello there, in the question digit has been repeated, it is appearing 66,55,44,77,99,55 to us. I…

Q: Valeria has 3 cheeses to arrange on a cheese board. She would like to arrange them in a row. In how…

A: Given problem Given that   Valeria has 3 cheeses to arrange on a cheese board . She would like to…

Q: Howard is picking out some movies to rent, and he has narrowed down his selections to 4 children's…

A: There are 4 children’s movies, 7 comedies, 7 mysterious, and 5 horror movies.The total number of…

Q: Mary wants to organize a party with only 10 people. In how many ways can she choose those 10 people…

A:

Q: Jennifer has 4 black bags. She has 15 seeds in the black bags. She has arranged the seeds in the 4…

A: Given : Number of bags = 4 Number of seeds = 15 None of bag is empty and all bags have different…

Q: There are 24 students in the senior class. Four of the students will be chosen to be the President,…

A: There are total 24 students. We need to select one  President, Vice-President, Secretary, and…

Q: Janice met with the builder to choose kitchen cabinets for her new house.  She must pick a type of…

A:

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: 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

Q: For a fishing trip, Yolanda is going to choose lures to put in her tackle box. She has 7 lures that…

A: It is given that 7 lures that are buzzbaits and 8 that are spinnerbaits.

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: A group of campers is going to occupy 3 campsites at a campground. There are 15 campsites from which…

A: The objective of this question is to find out the number of ways in which 3 campsites can be chosen…

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

A:

Q: Andie has a blue sweater, a red sweater, and a purple sweater. She has a white shirt and a tan…

A: Our objective is to find in how many different ways can she wear asweater and a shirt together.

Q: In a 10 team tournament, trophies are to be given to the top 3 places. In how many ways can the…

A: Given: There are 10 teams in the tournament and trophies are to be given to the top 3 places. Find…

Q: The president of the college asked a fraternity to submit a list of 7 students to serve as guides at…

A:

Q: Find the number of different ways that an instructor can choose 4 students from a class of 18…

A: Combination:   It is nothing but the selection of objects where the order of selection is not…

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

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.