Suppose you are ordering a calzone from D.P. Dough. You want 4 distinct toppings, chosen from their list of 13 vegetarian toppings. a. How many choices do you have for your calzone? b. How many choices do you have for your calzone if you refuse to have green pepper as one of your toppings? c. How many choices do you have for your calzone if you insist on having green pepper as one of your toppings? How do the three questions above relate to each other? Do you see why this makes sense?

Q: A bakery has 7 different kinds of donuts (chocolate, boston cream, sprinkle, old fashion, honey…

A: Given Information: Number of donuts to be purchased by Cindy = 30 Different kinds of donuts = 7

Q: A bakery has 7 different kinds of donuts (chocolate, boston cream, sprinkle, old fashion, 2. honey…

A: Given: Number of donuts to be purchased by Cindy = 30 Different kinds of donuts = 7

Q: 4. A chef can prepare 20 different dinners. In how many ways can he select 6 of them for today's…

A: 4. Answer: In 38760 ways can he select 6 of them for today's menu out of 20.

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Q: 7) The applicant pool for 6 management trainee positions consists of 7 women and 5 men. a) How many…

A: We have to use formula for combination as nCr = n!/r!(n-r)!

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Q: Student Painters, which specializes in painting the exterior of residential buildings, has nine…

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

Q: Suppose we want to choose 5 letters, without replacement, from 18 distinct letters. (a) How many…

A: (a)   Determine the number of ways that the 5 letters can be selected from 18 distinct letters…

Q: (a) How many ways are there to place 10 paintings into 8 boxes, given there should be at least one…

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Q: a) in how many ways can 6 numbered books be distributed over 4 identical shelves if shelves can be…

A: To distribute n things in k places, the formula is n+k-1k-1

Q: Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D. (a) How…

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Q: b) Suppose that repetition of letters is pemitted, How many 6 letter can be fomed from the letters?

A: Now we have to calculate ,how many 6 letter can be formed if repetition is permitted.

Q: 1. If Peter Piper picks 4 baskets of peppers on day one, 7 baskets on day two, and each day…

A: 1. Given peter Piper picks 4 baskets on day 1, 7 on day 2 and 3 more than the previous day…

Q: The BMCC math club has 50 members. a. In how many different ways can it select a group of 4…

A: he BMCC math club has 50 members.

Q: 50 people were surveyed about whether they like the ice cream flavors vanilla and 20 people liked…

A: Let the people who like vanilla be denoted by V and people who like strawberry be denoted by S.…

Q: 1. Yana wants to travel and visit caves in the Philippines. However, because of tight budget, she…

A: Note : As per Bartleby's guideline for more than one questions only first is to be answered please…

Q: Suppose we want to choose 2 letters, without replacement, from the 3 letters A, B, and C. (a) How…

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Q: A student is to answer 7 out of 9 questions on a midterm test. i) How many examination selections…

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Q: 41 children need to be assigned to five Tee ball teams. The league wants each team to have 8…

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Q: 3. If ice cream is served in a cone, in how many ways can Abby choose her three-flavored ice cream…

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Q: 2.27 A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3…

A: Generalized multiplication rule: The number of ways of performing sequence of k operations is…

Q: Suppose we want to choose 2 letters, without replacement, from the 4  letters A, B, C, and D. How…

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Q: How many different breakfasts can you have at the local diner if you can select 4 differe dishes…

A: The number of ways is given by n = 4 x 4 x 5 x 7 x4 n = 2240

Q: A boyscout troop has 10 members. a. How many ways can the Troup Leader select 3 members to lead a…

A: Given A boy scout troop has 10 members. To find a. How many ways can the Troup Leader select 3…

Q: The mayor, together with 4 of his councilors is holding a meeting with 6 city volunteers. How many…

A: It is given that the mayor and 4 councilors is to attend the meeting with 6 city volunteers.

Q: 2. At Mang Amang's Eatery, you can choose from 7 viands, plain or fried rice, 3 kinds of beverages…

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Q: 3. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how…

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Q: In How many possible ways can you arrange 5 kilos of rambutan, 2 kilos of lanzones, 4 kilos of…

A: Given data is : How many possible ways can you arrange 5 kilos of Rambutan, 2 kilos of Lanzones, 4…

Q: 2. Answer the following below: i. In how many ways can 3 runners be selected from a group of 10…

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Q: Of 100 employees of a store located in downtown Boston, 36 people take the subway to work, 24 take…

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Q: 4. If Lucy picks 12 bushels of apples, which option should she choose? 5. How many bushels of apples…

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Q: If a new car buyer has the choice of 4 bod styles, 3 engines, 10 colors, with or withou air…

A: Given Information: A new car buyer has the choice of 4 body styles, 3 engines, 10 colours, with or…

Q: Given the word PERINGKAT, a. How many arrangements can be made if all the letters are used? b. In…

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Q: . Over the past year, John has purchased 30 books.(a) In how many ways can he pick four of these…

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Q: Who is Jasmine's husband? Who owns Helene?

A: Using the Information provided in the Question, I have created this Table   Person Pony Name Wife…

Q: In a survey of 94 pet owners, 33 said they own a dog, and 71 said they own a cat. 31 said they own…

A: Given ,  In a survey of 94 pet owners, 33 said they own a dog, and 71 said they own a cat. 31 said…

Q: If Kristine were to pull a marble from the jar below randomly, replace and pull another marble 75…

A: There are 15 marbles in the jar labelled 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15. 1 Marble is drawn with…

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

A: According to the question, we have to find the number of boxes left over after putting 93 boxes into…

Q: 2. At SSC, a four-person committee is chosen from 15 teachers and a dean. In how many ways can the…

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

Q: 2.A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3…

A: Permutation is a branch of mathematics which deals with the number of ways in which certain objects…

Q: _6. Rylan's basketball team has 11 players. How many ways can his coach choose five starting…

A: Given;  1): No of player =11  To choose 5  starting players from the 11 players then nonof ways ?…

Q: there are 18 people from the mathematics department and 325 people from the computer science…

A: see my solution below

Q: In how many ways can Mrs. Smith give a chocolate bar, a bag of potato chips, and a can of cane juice…

A: Mrs. Smith give a chocolate bar , a bag of potato chips and can of cane juice to 3 of the 21…

Q: How many ways can 10 people line up if Joey and Sally cannot be next to each other? If the same…

A: here we have to use permutation ( arrangement )  Number of way r object can be arranged by taking…

Q: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

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Q: How many ways can 10 people (Luffy, Zoro, Nami, Usopp, Sanji, Chopper, Robin, Franky, Brook, Jimbei)…

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Q: 3. A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: From the given information, Total number of hoses to be build (n) =9 One side has 6 lots and other…