Ms. Tobin is arranging her colored pencil collection in the classroom. She has 24 pencils and needs to choose 10 to put in a bucket and 14 to put into a box. How many ways can she separate her pencils?

Q: How many bags of 25 pieces of candy can one buy from a store that sells four types of candy?

A:

Q: A dress-shop owner has 8 new dresses that she wants to display in the window. If the display window…

A: A dress-shop owner has 8 new dresses.  She wants to display in a window which has 5 mannequins.  So…

Q: There were 130 faculty at a conference. If there were 18 more women than men attending, how many of…

A: let  number of men =x and  number of women =y

Q: Apple decided to give an apple watch to the first person in line, an iPhone to the second person in…

A: From the given information, Apple decided to give apple product to all three persons who stand up in…

Q: john has 10 apples and kate took 5 away how many apples are left?

A: When kate take you are subtracting.   John  originally had 10

Q: The following recipe is for 16 crepes: 1/4 cup margarine, 3 tbs sugar, 1/2 cup orange juice, 1 tbs…

A:

Q: Ms. Huntington has 34 marbles and 4 bags. How many Marbles can be in each bag?

A: We have to find number of marbles in each bag.

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: From the ten books that you’ve recently bought but not read, you plan to take four with you on…

A: From the ten books that you’ve recently bought but not read, you plan to take four with you on…

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: 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: 1) Laura found 32 plates that each had % of a pie. If Laura put all the pieces of pie into whole…

A: I supposed to do first question as our company guideline. Please repost other question as next…

Q: Ms. Goodman has 18 students in her first-grade class. In how many ways can 4 students be picked to…

A: We will use combination metod for solving this question.

Q: How many outfits could you make if you had 6 pants, 7 shirts, and 4 pairs of shoes to choose from?

A: We know that for making a outfit we need 1 pant form 6, 1 shirt from 7 and 1 pair of shoes from 4…

Q: A restaurant manager wants to purchase 200 sets of new dishes. One design costs $25 per set, while…

A: She wants to sell 200 sets of dishes of which one design cost is $25per set and another cost $45 per…

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 college math department consisting of 10 faculty members must choose a department head, an…

A: Given, n=10 And we need to choose 3 faculty members from 10, here the order of 3 faculty member…

Q: Julia buys a bag of cookies that contains 5 chocolate chip cookies, 4 peanut butter cookies, 4 sugar…

A: Given data: The number of chocolate chip cookies is c=5. The number of peanut butter cookies is p=4.…

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: 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: 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: The math club needs to select a President, Vice President, Treasurer and Secretary from their 20…

A:

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: How many more trees are in Duck Park and Ross Park than in Sawyer Park?

A: Given,

Q: A s'more requires 2 graham cracker squares, 1 marshmallow, and 3 chocolate pieces. If an entire…

A: A s'more requires 2 "g c squares", 1 marshmallow, and 3 chocolate pieces. Now, we have 8 chocolate…

Q: Jennifer took clothes to the cleaners three times last month. First, she brought 4 shirts and 1 pair…

A: Given that Jennifer took clothes three times in a month. 1st time she bought 4 shirt and 1 pair of…

Q: Sarah needs to order 450 clips , if the binder clips comes in boxes of 15 how many boxes should…

A:

Q: The Art Department at AUM has three painting from Mike, five by Amy , and 3 by Jack.  In how many…

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: An office needs 3200 sticky labels. If there are 80 labels each package, how many packages should…

A:

Q: She wants to divide the class into teams of the same size, where each team has the same number of…

A: Given data:   The total number of girls is G=25. The total number of boys is B=35.   The factors for…

Q: A box had 40 biscuits - of them were chocolate biscuits. 1 of them were raisin biscuits and the rest…

A: Determine the number of two biscuits using the ratios. In mathematics, 'of' is meant as…

Q: Harry has to visit 10 cities. He can visit three in any one day, and the order in which he visits…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Harry has…

Q: A certain school has 3 desktop computers for every 4 laptop computers, and it has 70 computers…

A: Given : A certain school has 3 desktop computers for every 4 laptop computers and it has a total…

Q: Ben is studying photography, and he was asked to submit 6 photographs from his collection to exhibit…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Ben has 15…

Q: There are twelve players on the basketball team roster. Coach Chapman needs five players at a time.…

A: Given that there are total 12 players. The coach will pick a group of 5 players. Since the order…

Q: Find the number of ways to arrange the following 9 books on a shelf: 2 identical Math books, 4…

A: Given, total no of books = 9 Math books = 2 (Identical) Physics books = 4 (Different) Chemistry…

Q: In a house of 10 people, how many ways can a squad of 4 people be arranged?

A: Since, you have asked multiple question, we will solve the first question for you. If you want any…

Q: Francis wants to donate his 15 books to his three friends. If he gives 8 books to one of his friend…

A: given data   have 15 books 8 books to one friend 4 books to other friend and remaining to third…

Q: A car dealership had 42 cars, and sold 19 of them. How many cars does the store have now?

A:

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

A:

Q: Laney prints 336 pictures for a scrapbook and 126 of them are with Lily. If each page has about 12…

A: Laney prints 336 pictures for a scrapbook and 126 of them are with Lily.

Q: How many of each kind of stamp does he​ have?

A:

Q: Of the 100 families at a local farmer's market, 75 brought their kids with them, 25 brought their…

A:

Q: jim has 10 apples. give Ted 3 how much apples does he have left?

A: We have been given that Jim has 10 apples and he gave 3 apples to Ted.

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

A:

Q: In mr.acosta art class,they need to make a headdres.there are 42 pupils in his class.if 2 1/3…

A: Given that 213 colored papers make one headdress. Total number of people in class is given as 42.…

Q: Elsa has bought 28 1/2 meters of rope and cut it into equal pieces. If she is to divide it equally…

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.