A gardener is planting a row of tulip bulbs. She has a mix of bulbs for 10 yellow tulips and 6 red tulips. How many color arrangements are possible for the row of tulips?

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

A:

Q: How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his 25…

A: The number of ways r items can be selected out of n different items is equal to C(n, r) . The…

Q: There are 15 players on a volleyball team. Only 6 players can be on the court for a game. How many…

A: Given data There are 15 players on a volley ball team. only 6 players can be on the court for a…

Q: In a​ company, 95​% of the workers are women. If 115 people work for the company who​ aren't women​,…

A: Let the total no.of workers are X. Given, 115 people aren't women . Then ,no of women workers=X-115

Q: A group of 15 boys and 12 girls are planning to have a beach party. How many different committees of…

A: In how many different committees of 3 boys and 2 girls can be formed from this group of students if…

Q: A dog shelter is giving away 11 different​ dogs, but you have room for only 3 of them. How many…

A: From the provided information, A dog shelter is giving away 11 different dogs. There are room for…

Q: Suppose Allan is going to build a playlist that contains 9 songs. In how many ways can Allan arrange…

A: We have to find number of ways to 9 songs...

Q: There are 4 different types of fruits and n different types of vegetables in a grocery shop. If…

A:

Q: 2. Explain how you would find out how many committees of 4 boys and 2 girls can be found from a…

A: Here use combination

Q: Explain how you would find out how many committees of 4 boys and 2 girls can be found from a group…

A:

Q: A pianist plans to play 9 pieces at a recital. In how many ways can she arrange these pieces in the…

A:

Q: How many 4 card hands are possible with a 48-card deck? The number of 4 card hands is

A: Possible number or 4 card hands with a 48-card deck is

Q: A high school wants to buy six computers for its laboratory from a local supplier. The supplier has…

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

Q: A fast food restaurant advertises that it offers any combination of 8 condiments on a hamburger,…

A: The number is obtained as follows: The number of choosing none of the condiments on a hamburger:…

Q: If there are 12 teams in a basketball tournament and each team must play every other team in the…

A: The given question requires number of pairs between two teams. Note that if team A and team B are…

Q: Taehyung is joining the same flight as Namjoon and Yoongi. In his drawer, there are 4 identical…

A:

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

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: A pianist plans to play 4 pieces at a recital from her repertoire of 27 pieces. How many different…

A: Given problem is from selection method of combination where order doesn't matter .  It's formula is…

Q: How many 3 card hands are possible with a 28​-card deck? The number of 3 card hands is ___

A: Total cards = 28

Q: Howard is picking out some movies to rent, and he has narrowed down his selections to 44 children's…

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

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 22 pieces. How many different…

A: Permutation formula: nPr = n!/(n-r)!

Q: If a baseball manager has 5 pitchers and 2 catchers, how many different pitcher-catcher combinations…

A: From the provided information, Baseball manager has 5 pitchers and 2 catchers.

Q: Suppose Allan is going to build a playlist that contains 12 songs. In how many ways can Allan…

A:

Q: You have 7 purple corn kernels, and 2 yellow corn kernels. (a) If you line them up in a row, how…

A: Permutation: the permutation is determining the number of possible arrangements in a set when the…

Q: Renae, Nexael, Braden, Lovely, and Vanessa are attending a play and want to sit together in a row.…

A:

Q: Pat has 9 flowerpots, and she wants to plant a different type of flower in each one. There are 11…

A: We have given that - Pat has 9 flowerpots. In garden shop there are 11 types of flower available. We…

Q: Ashley is arranging 12 cans of food in a row on a shelf. She has 5 cans of beets, 1 can of olives,…

A: Obtain the distinct number of orders that the cans can be arranged if the two cans of the same food…

Q: if 1 cup gives 20 servings, and 1/2 cup gives 40 servings, how do i figure out how many servings 3/4…

A:

Q: Sally has 2 pairs of shoes, 9 pairs of pants, and 8 shirts. How many different outfits can she make…

A: Sally can make, 2×9×8 = 144 different outfits.    The detailed solution is as follows below:

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: There are 5 different types of fruits and n different types of vegetables in a grocery shop. If…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: Jack has 4 tiles and wants to fing out how many different shapes he can make with all of them.

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Q: From the group of 5 freshmen, 6 sophomores and 8 seniors, how many committees can be formed if each…

A:

Q: in a row on his bedroom wall, but only has space for 5 of them. If his favourite poster must go in…

A: In how many ways can Liam put the posters up :

Q: Maxine has 3 English books, 4 Math books and 2 Science books.   if Maxine would like the books of…

A:

Q: he BMCC web-design club has 40 members. a. In how many different ways can it select a group of 4…

A: Given Data: The number of members in the web-design club is: n=40 The number of members to be…

Q: Suppose Allan is going to build a playlist that contains 7 songs. In how many ways can Allan arrange…

A:

Q: A teacher and his eleven students are standing in a single file line waiting to enter the cafeteria…

A: We have given that a teacher and his eleven students are standing in a single file line waiting to…

Q: Suppose Jim is going to build a playlist that contains 9 songs. In how many ways can Jim arrange the…

A: Suppose Jim is going to build a playlist that contains 9 songs.In how many ways can Jim arrange the…

Q: An ice cream parlor has six flavors of ice cream. Kristen wants to buy two flavors of ice cream. If…

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Q: Gabriel's favorite snack just became available in 3 new flavors, and he wants to try each of the new…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: A philanthropist, on his free day, seeks to visit an orphanage from the seven orphanages he supports…

A: Given information No of orphanages = 7 No of elementary school = 10 No of care homes = 8

Q: A small high school has 35 seniors, 25 juniors, and 15 sophomores. If 3 students are chosen from…

A:

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 18 pieces. How many different…

A: Given :  A pianist plans to play 5 pieces at a recital from her repertoire of 18 pieces.  Use…

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 20 pieces. How many different…

A:

Q: A mother of 9 children bought 2 chocolate ice cream cones, 3 strawberry ice cream cones, and 4…

A:

Q: Dustin bought 12 plants to arrange along the border of his garden. How many distinct arrangements…

A: GIVEN: Total plants = 12 Tulips = 3 Roses = 4 Daisies = 5

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.