Dustin bought 12 plants to arrange along the border of his garden. How many distinct arrangements can he make if the plants are comprised of 3 tulips, 4 roses, and 5 daisies?

Q: Mark had 5 red pens and 2 blue pens. He gives 1 blue pen and 1 red pen to Anna. How many pens does…

A: Given Mark had 5 red pens and 2 blue pens and he gives 1 blue pen and 1 red pen to Anna. To…

Q: You bought 3 boxes of regular pizza, which are sliced into 8 pieces each, for your basketball team.…

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Q: Kara has 1010 books on a shelf and decides to move 33 of them to an empty shelf. In how many…

A: Kara has 10 books on a shelf and decides to move 3 of them to an empty shelf. In how many…

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: A farmer plants 4 apple trees for every 3 pecan trees in the orchard. She plants 2 peach trees for…

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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 ice cream store offers 7 ice cream flavors and 12 toppings. If you want to eat 3 different ice…

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Q: Breanna had a basket of apples. She decided to give away ½ of her apples plus 1 to her father, ½ of…

A:

Q: A contractor would like to build 9 houses, each with a different design. In how many ways can he put…

A: A contractor would like to build 9 houses, each with a different design. Assume,  first house is…

Q: Kevin wants a new paddle​ board, and will buy a package consisting of a​ board, custom​ fin, and…

A: From the given information

Q: There are 4 purple plates and 4 blue plates? How many different ways can the plates be stacked? Two…

A: see the hand written solution:

Q: A department store manager wants to display 6 brands of a product along one shelf of an aisle. In…

A: According to the provided information, A department store manager wants to display 6 brands of 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: there are cows and hens in the farm. if there are total of 65 heads and 160 legs, how many cows are…

A:

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: Matt took clothes to the cleaners three times last month. First, he brought 4 shirts and 2 pairs of…

A: In equation we are equating two sides left hand side and right hand side. It contains variable,…

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: Lee wants to select 9 photos of his 20 to take on a trip. How many ways can he do this? Lee has…

A: Out of 20 photos, Lee wants to select 9 photos. As selection only matters, the number of ways…

Q: There are 148 juniors and 272 seniors attending prom this year. If there must be three chaperones…

A: Given there are 148 juniors and 272 seniorsTotal students=148+272=420Given that there must be 3…

Q: Mr. Gardose buys chocolates in boxes of 48 and then puts them into groups of 11. If he buys 93…

A: As per given information: He puts the chocolate into group of 11 Then he is putting 48×93=4464…

Q: How many vans were there?

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Q: A Carpenter started with a board that was 31 inches long. He cut 2 pieces that were each 3 inches…

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

A:

Q: A pianist plans to play 3 pieces at a recital. In how many ways can she arrange these pieces in the…

A: Given, A pianist plans to play 3 pieces at a recital no. of ways to arrange these pieces in the…

Q: A box has 15 pens in it, a class buys 5 boxes, how many pens are are in all boxes?

A:

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: Josh and John’s Ice Cream Shop offers 30 different flavors of ice cream and 9 different toppings.…

A:

Q: A person who doesn't like to be cold in the summertime has seven (7) pairs of flip flops, four (4)…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

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: A pianist plans to play 4 pieces at a recital. In how many ways can she arrange these pieces in the…

A: Factorial of a number:   It is a non-negative integer n which is defined by the product of all…

Q: In a science classroom, where labs are performed, students are seated at lab tables. If the teacher…

A:

Q: Within the first 4 months of the year, Vicky was able to serve the following number of burgers: 370,…

A:

Q: There are 364 first-grade pupils in Brown Prophet Elementary School. If there are 26 more girls than…

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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: Pam is arranging her photos on the wall. There are 5 spaces on the wall to hang her photos. If she…

A: Given Data: Number of space=5 Number of family=5 Number of landscape=10

Q: Tamekia's garden has 9 tomato plants, 5 pepper plants, 3 squash plants, and 6 pumpkin plants. For…

A: We know that 3+3+3=9 So, for 3 tomatoes = 1 Squash plant therefore: 6 tomatoes =2 squash plants 9…

Q: a farmer plants 4 apple trees for every 3 pecan trees in the orchard. she plants two 2 peach trees…

A:

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

A: Juan has three boxes-one red, one white, and one blue. He has 9 different objects.

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: There are 364 first grade student in park elementary school if there are 26 girls than boys, how…

A:

Q: Maxine has 3 English books, 4 Math books and 2 Science books.               a. In how many ways…

A:

Q: A small company that manufactures juggling equipment makes seven different types of clubs. The…

A: here we have to find the number of ways in a juggler can select 4 types of clubs out of the 7 types…

Q: Jose has 52 coins among which there are only nickels and pennies. If the value of the coins is…

A: We can use simultaneous equations in order to solve the given problem.

Q: The number of ways in which 2 cards can be chosen or selected from a total of 6 cards equals:

A: We are asked to find the number of ways of selecting 2 cards from 6 cards

Q: student club consists of 10 freshmen and 7 sophomores. How many different six-person committees can…

A:

Q: Ms Cruz asked Pearl to call two more of her classmates to help her carry their textbooks in class,…

A: Combination: It is a method used to select number of items form a collection It is denoted by Crn…

Q: There are some raisin and chocolate muffins in a pastry shop. If 84 raisin muffins are sold, - of…

A: let there be x raisin muffins and y chocolate muffins total number of muffins will be x+y according…

Q: Dwight is packing for a vacation. He is deciding which books to bring. He wants to bring one book…

A: Given :  Science fiction=3 Business ethics=10 Beet farming=9 Our aim is to find the unique…

Q: Stephanie bought 14 plants to arrange along the border of her garden. How many distinct arrangements…

A: There are 14 plants which is going to be arranged in the manner that plants are comprised of 6…