Helen wants to buy a bunch of flowers. There are five types of flowers available, namely roses, chrysanthemums, lilies, carnations and tulips. How many possible bunches of 16 flowers can she choose if the bunch must contains no more than two lilies, but any number of the other types of flowers?

Q: onnie is packing for a trip, she has 18 pairs of shoes. If she has room to pack 5 pairs, how many…

A:

Q: A Broadway theater has 800​seats, divided into​ orchestra, main, and balcony seating. Orchestra…

A: x= number of orchestra​ seats y= number of main​ seats z= number of balcony seats

Q: Adam, Bill and Carl had some trading cards. Bill had 1 as many cards as Adam. 3 of his cards and…

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Q: The following day 5 drinks samples are add and customers are told that they can take 3 cake samples…

A: In these types of questions, the basic formula is of combinations. The required result, total…

Q: The cafeteria is offering five salads, eight entrees, nine sides, and six desserts. How many…

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Q: At the ice cream shop, there are 21 flavors of ice cream available. How many ways can you select a…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A friend of mine is giving a dinner party. His current wine supply includes 11 bottles of zinfandel,…

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Q: girl has 9 skirts, 10 blouses, and 4 pairs of shoes. How many different skirt-blouse-shoe outfits…

A: Given that the girl has 9 skirts, 10 blouses and 4 pairs of shoes.

Q: A restaurant offers a menu with 5 appetizers, 5 main dishes, and 4 desserts.  If Zoey is low on cash…

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Q: A sushi restaurant offers a three-course buffet lunch. Each customer must make one selection from…

A: The customer can select 1 item : from the reddish range in 5 ways. from the yellow dish range in 6…

Q: A birthday cake is to have two layers of cake separated by a layer of icing, with another layer of…

A: Given information: The number of layers is 2. The number of kinds of cake is 5. The number of types…

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: The senior classes at High School A and High School B planned separate trips to the state fair. The…

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Q: Freddy, Gabriel and Henry had some cards. Freddy had 24 more cards than 5 Gabriel. After Freddy gave…

A: To find the solution of the questions first we need to formulate the equation with the help of given…

Q: At a certain French restaurant, a multi-course meal is offered, where patrons can choose from…

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Q: Juan has 4 ​ties, 6 ​shirts, and 6 pairs of pants. How many different outfits can he wear if he…

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Q: At Wingstop, customers ordering a family meal can choose 4 different wing flavors. If Wingstop has…

A: Given problem is : At Wingstop, customers ordering a family meal can choose 4 different wing…

Q: Katie is shopping and has found 6 coats and 5 hats that she likes. (a) If Katie decides to buy one…

A: As this is a multiple sub-parts question, according to the Bartleby Answering Rule, only the first…

Q: Adam, Bill and Carl had some trading cards. Bill had 1 as many cards as Adam. After Bill gave Adam 3…

A: To solve this problem, we have to determine the initial number of cards that each of them have with…

Q: Gracia had some pens. 2/5 of the pens were blue and 1/6 of the remainder were black. The rest were…

A: let the total number of pens =x that is, x=Blue+black+green+red number of blue pens=25x number of…

Q: Charles has eight different winter scarves, and he wears three at a time. How many different ways…

A: Given that       Charles has eight different winter scarves and he wears three at a time  We have to…

Q: A dog shelter is giving away 16 different dogs, but you have room for only six of them. How many…

A: A dog shelter is giving away 16 different dogs. And there is room for only six of them.

Q: Adam, Bill and Carl had some trading cards. Bill had 1 as many cards as Adam. After Bill gave Adam 4…

A:

Q: A sixth grade class is having a pizza party. The teacher ordered 5 cheese pizzas, 5 pepperoni and 5…

A: Fractions are used to symbolize a part of a whole.

Q: There are 64 dogs and cats at the pet store. If one out of every 4 animals is a cat, how many dogs…

A: Given Data: The total number dogs and cats at the pet store is: N=64 Let, The number of cats is x.…

Q: Lou and Jacob each sold 200 pieces of jewelry.  If 20% of Lou's sales were rings, and Jacob sold 35…

A: Given lou and jacob each sold 200 pieces of jewelry. 20%of lou and 35 ring of jacob.

Q: Ethan is at a sandwich shop and is looking at the combo meal, which includes a sandwich, a choice of…

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Q: joining a music club. As part of her 4-CD introductory package, she can choose from 12 rock…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…

Q: n be created?

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Q: Adam, Bill and Carl had some trading cards. Bill had 1 as many cards as Adam. After Bill gave Adam 3…

A: Given that Adam, Bill and Carl had some trading cards. Bill had 12 as many cards as Adam.  After…

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: In a small village with 200 inhabitants, half of the villagers have either a cat or a dog or both.…

A: Given total number of inhabitants = 200 Given half of the total inhabitants have either a cat or a…

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

A: This question can be solved using logic

Q: At a charity benefit with 33 people in attendance, three $50 gift certificates are given away as…

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Q: A basketball fan has a pair of tickets to 6 different home GAMes of the Los Angeles Lakers. If the…

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

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

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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: The department has 5 faculty members and 15 students. How many ways can you form a committee of 7…

A: It is given that the department has 5 faculty members and 15 students. A committee has to be formed…

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: In a group of 50 patrons 18 patrons like lattes 16 patrons like espressos and 8 patrons like both…

A:

Q: Adam, Bill and Carl had some trading cards. Bill had 1 as many cards as Adam. After Bill gave Adam 3…

A: first we assume that Adam, Bill and Carl had x, y and z number of cards respectively. now we will…

Q: You want to order your lunch from the school canteen, which offers student meal consisting of 1 cup…

A:

Q: A stack of medicine boxes displayed in a drug store has 10 boxes in the bottom row, 8 boxes in the…

A: For 1 stack : Number of Boxes in the Bottom Row ( let's say Row 1) =10 Number of Boxes in the second…

Q: A fan of country music plans to make a custom CD with 14 of her 26 favorite songs. How many…

A:

Q: If I go into an ice cream parlor, and I have the choice of having one of 10 different flavors, with…

A: Given information- No. of different flavors available at an ice cream parlor = 10 No. of different…

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