For a fishing trip, Kevin is going to choose lures to put in his tackle box. He has 5 lures that are buzzbaits and 9 that are jigs. In how many ways can he choose 6 lures if more than 3 must be jigs?

Q: At​ Luigi's favorite Italian​ restaurant, the lunch special has a selection of 7​ appetizers, 4​…

A:

Q: Francesca is planning a bridal shower for her best friend. At the party, she wants to serve 2…

A: Combination Rule: A combination is a selection of all or part of a set of objects, without regard to…

Q: Jacob is making mini pizza for his birthday party. Each mini pizza needs 1 ⅔ cups of pizza sauce. If…

A:

Q: There are four boys and four girls at a party. In how many ways can they be seated in a row if they…

A:

Q: he table shows different ways that Cam'ron can display his 12 model cars on shelves how many shelves…

A: Given that: 12 model cars.   8 shelves display 1 car.

Q: If the boy has 10 T-shirts, 6 pants, and 4 pairs of shoes. How many possibilities can he dress…

A:

Q: on Monday Harold picked up two donuts and five large coffees for the office staff he paid $5.64 .on…

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Q: Jessica wants to make a garland out of eight roses 12 daisies and 48 marigolds how many arrangements…

A: Given: Number of roses=8, Number of daisies=12 and number of marigolds=48.

Q: Francis wants to donate his 15 books to his three friends. If he gives 7 books to one of his friend,…

A: You have 15 books. 7 to one friend 5 to other friend  And 3 to third friend.  No. Of ways to do this…

Q: Cardo has six different jackets. If he cannot wear the same jacket on tro consecutive days, how many…

A: If we have n objects that have to be assigned to r slots then the number of ways to do it will…

Q: John went to a pastry Shop in New York. He went to order 6 pastries and the store had 4 different…

A: Given: Types of pastries: E, F G and H.

Q: Suppose you won $15 on a lotto ticket at the local 7-Eleven and decided to spend all the winnings on…

A: The combination  is defined as choosing 'x' items out of n trials and is given by: Crn=n !(n-r) ! .…

Q: Robin has five different cans of paints, three different patterns of wallpapers, and four different…

A: GivenNumber of cans of paints = 5Number of patterns of wallpapers = 3Number of colors of curtains =…

Q: Lauri is planning a bridal shower for her best friend. At the party, she wants to serve 3 beverages,…

A: Combination Rule: A combination is a selection of all or part of a set of objects, without regard to…

Q: For a fishing trip, Tony is going to choose lures to put in his tackle box. He has 8 lures that are…

A: The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: Juan has three boxes—one red, one white, and one blue. He has 9 different objects. In how many ways…

A: Given,total no.of objects=9

Q: John has 6 different flags that he wants to hang on the wall. How many different ways can the flags…

A: The number of flags having by John is 6.

Q: Jen would like to use the first week in May to visit one city, and the first week in June to visit…

A: Given: Jen would like to use the first week in may to visit one city and the first week in June to…

Q: n be created?

A:

Q: Demetrius has 17 books and he wants to read 5 over the summer. He has 9 fiction books and 8…

A:

Q: Natalie is trying to pick out an outfit for the first day of school. She can choose from 7 pairs of…

A:

Q: For a fishing trip Maria is going to choose Lures to put in her tackle box. She has five lures that…

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: different outfits does he have if he always wears trousers with a shirt, a jacket, a tie, and a pair…

A: Given that  Mike has Pairs of trousers = 7 Shirts = 16 Jackets = 4 Ties = 18 Pair of shoes = 5 We…

Q: Nevaeh is trying to pick out an outfit for the first day of school. She can choose from pairs of…

A: From the given information we find the number of pairs she can choose.

Q: Aiko loves to have friends over for "Sushi night" where she rolls her own sushi based on her guests…

A: Given,Total no.of ingredients=19

Q: Caleb has a fully stocked fridge and is trying to decided what to prepare for his grandmother on…

A: possiblity

Q: Lenny has 5 friends in his neighborhood. In how many ways can he choose 3 to help him move…

A: Lennh has friends = 5 Number of friend to be chosen = 3

Q: Dimitri wants to make 17 cents using only pennies, nickels, and dimes. How many different…

A: This question can be solved using logic

Q: The Grinch sneaks into a room with 9 Christmas presents to 9 different people. He proceeds to switch…

A: Given - The Grinch sneaks into a room with 9 Christmas presents to 9 different people. He proceeds…

Q: Tyler wants to send his cousin 5 books that are each 1500 grams. He has a box that can hold up to 6…

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Q: Terry has 2 more quarters than dimes and has a total of 56.80. How quarters and does have ?

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Q: Ivan went to a store and spent 1/3 of his money on a book. He then spent 2/5 of his remaining money…

A: Let x is the amount of original money that Ivan has before he purchased the book. Ivan spent 1/3 of…

Q: how many ways can you select 2 different flavours of ice-cream for a sundae if there are 16 flavours…

A:

Q: A husband wants to give his wife a gift for Valentine's day. He has five chocolates, two pieces of…

A:

Q: You can choose from 25 flavours of ice cream and have enough money to get exactly 3 scoops. How many…

A: We need to find out the number of ways for the following.

Q: All the 5th graders at Lincoln Elementary School will go on a field trip to the science museum.…

A: Given: Counting all the children, teachers, and chaperones, there will be 147 people. Each bus holds…

Q: Tim is a huge fan of country music. If Tim has time to listen to only 3 of the 10 songs on an album,…

A: Given information:It is given that Tim is a huge fan of country music.Tim is given time to listen…

Q: Selecting 2 students with replacement from a group of 20 students has the following number of…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or,…

Q: university student is selecting courses for his next semester. He can choose from 6 humanities…

A: 6 humanities courses 7 science courses 13 total   select 4courses so that 3 or more will be…

Q: A recipe Ms. Glover likes is for chocolate chip pancakes! The regular recipe calls for forof a cup…

A:

Q: Katrina has 32 stamps, some are P3.00 and the rest are P 5.00 stamps. The stamps are worth P 120.00.…

A: Let number of P3.00 stamps be x Let number of P5.00 stamps be y As total number of stamps are 32,…

Q: The soccer coach purchased 12 pizza for the end of the season party.Altogether,the soccer team ate…

A: Total numbers of pizzas bought by the coach =12It is clearly given that the soccer team ate…

Q: dog's banana tree has 16 bananas, and she wants to share them with her neighbors Beth and Carol,…

A: Fundamental Counting Principle: The fundamental counting rule, commonly termed the basic counting…

Q: Alex's Evil Twin wishes to steal 18 piece of candy from the 5 kids in his neighborhood. However,…

A:

Q: A bagel shop has onion bagels, cinnamon bagels, plain bagels, and sesame 10) bagels. How many ways…

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Q: Elsa must choose a shirt, a pair of pants, and a cap for today's outfit. She has 2 shirts, 2 pairs…

A:

Q: Martha harvested 30 lemons, 25 oranges, and 12 apples from her garden. In how many ways can Martha…

A: Given: Number of lemons are 30. Number of oranges are 25. The number of apples are 12.

Q: Randy is that green thumb and he sees that 10 plants cost 0.25. He needs 50 plants to decorate his…

A:

Q: Aisha is picking out some movies to rent, and she is primarily interested in children's movies and…

A: different combinations of 3 movies can she rent if she wants at least one comedy=  Total no. of…

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.