Juan has three boxes—one red, one white, and one blue. He has 9 different objects. In how many ways can he put 3 objects in each box?

Q: Bailey has 5 skirts, 7 blouses, and 4 pairs of shoes. How many different skirt-blouse-shoe outfits…

A: Bailey has 5 skirts, 7 blouses, and 4 pairs of shoes.

Q: Ethan owns 8 pairs of pants, 4 shirts, 4 ties, and 3 jackets. How many different outfits can he wear…

A: The above example is an example of a combination. we have to find different combinations of outfits.

Q: je finds that of the 841 students taking math, 575 students are business majors and 102 students are…

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

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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: 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: 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…

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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: 3 of his stickers 10 Rudi, Sam and Ted had 162 stickers altogether. Rudi gave of his stickers to…

A: Given Information - Total number of stickers Rudi, Sam and Ted had = 162 Rudi gave 310 stickers to…

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: 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: Liza is a basketball coach and must select 5 players out of 12 players to start a game. In how many…

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Q: There are 14 male employees and 9 female employees at a shoe store.  The store manager wants to form…

A: Since he is picking as a team so we will use the combination method because arrangement does not…

Q: The Croods, Half Brothers, All My Life, The War with Grandpa, and Let Him Go are playing tonight at…

A: Suppose we have n different positions and n different object to place then we can numbered position…

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: How many different 2 card hands can be dealt from a deck of 52 cards? The order of the cards does…

A: GivenTotal no.of cards in a deck =52

Q: Joe has a few choices for dinner or a hotdog taco or barbecue with fries or chips how many different…

A: Joe has a few choices for dinner or a hotdog taco or barbecue with fries or chips how many different…

Q: A boy owns 6 pairs of pants, 7 shirts, 3 ties, and 1 jackets. How many different outfits can he wear…

A: He can choose a pant in 6 ways.  He can choose a shirt in 7 ways He can choose a tie in 3 ways He…

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: 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 high school principle plans to visit classrooms of 5 teachers in one day. If there are 32 teachers…

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

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: The manager of the winning soccer team chooses three of the 20 members to be interviewed by a sports…

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Q: At a deli counter, there are 7 sandwiches with meat and 6 vegetarian sandwiches. Deandre is at the…

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Q: Shelby bought 3 ears of corn and 2 sweet peppers for $3.20. Donna bought 8 ears of corn and 1 sweet…

A: Let price of 1 corn = $x and price of 1 Sweet pepper= $y It is given that,   Shelby bought 3 ears of…

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: For a trip, eli packed 5 shirts, 3 pairs of pants, and 4 pairs of shoes. how many different outfits…

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

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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: A piggy bank contains P1, P5, and P10 totaling P100. There are 26 coins in all and there are 2 more…

A: Given ,  A piggy bank contains P1, P5, and P10 totaling P100 There are 26 coins in all and there are…

Q: At the grocery store, Derek has narrowed down his selections to 3 vegetables, 6 fruits, 7 cheeses,…

A: Introduction:Combination:Suppose there are n distinct items in a population. From these items, r…

Q: A book has 625 pages, David has red 132 of the pages, Ana has red 134 of the pages and Lucas has red…

A: Total number of pages (T.P)=625 Number of pages read by David (DP)=132 Number of pages read by Ana…

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: Bruce has 5 different jackets, 3 pairs of jeans, and 8 pairs of shoes. In how many ways can he…

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Q: Chandra has 10 pieces of jewelry in her jewelry case, and she wants to take four pieces with her on…

A: To find: In how many ways can she select the jewelry for her trip?

Q: Three students, Josiah, Hudsonand Giannaline up one behind the other. How many different ways can…

A: There are 3 people, n= 3 And there are 3 places where they can stand. r= 3

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

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…

Q: Josephine has ten chemistry books, three history books, and two statistics books. She wants to…

A: Fundamental rule of counting:If there are m different ways of occurring an event and n different…

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: A girl has four skirts and six blouses. How many different skirt-blouse combinations can she wear?

A: The girl can wear 4 skirts in four patterns.While she can wear 6 blouses in 6 patterns.

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…

Q: Mr. Akika has 51 20-cent and 31-cent stamps all told. The stamps are worth $13.61. How many of each…

A: Suppose we have system consisting of a pair of two variable linear equations as :…