Using permutations and combonations:  A croissant shop has 7 types of croissants: plain, cherry, chocolate, almond, apple, cheese and hazelnut croissants. How many ways are there to choose: a) one dozen croissants? b) one dozen croissants with at least one of each kind? c) one dozen croissants with 2 plain, 1 cherry and at least 2 chocolate?

Q: Assume that the student has a cup with 8 writing implements: 4 pencils, 3 ball point pens, and 1…

A: Consider the given statement,Student has a cup with 8 writing implements: 4 pencils, 3 ball point…

Q: 6.) During an offer from GAIA Computers, a customer who purchased a computer and printer was given…

A: Combinations: The combination is defined as the number of possible arrangements in a collection of…

Q: A student is given a reading list of ten books from which he must select four an outside reading…

A: The total number of books in the reading list is 10. The student has to select 4 books out of 10…

Q: 8. There are 18 mathematics majors and 325 computer science majors at a college. a) In how many ways…

A:

Q: How many ways are there to choose three cards from a standard 52-card deck without choosing any…

A:

Q: 1. Fifteen students ask to visit the Office of Admissions of CSU. Each visit includes one student.…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: The 13 colleges of interest to a high school senior include 4 that are expensive (tuition more than…

A:

Q: In Exercises 11– 14, determine whether the situation involves permutations or combinations. Then…

A: i have solved que 11 for you.

Q: How many permutations of the letters A, B, C, D, E, F, G are there in which the three letters ABC…

A: Given letters are : A, B, C, D, E, F, G. and it is given that three letters A, B and C appears…

Q: 8 Of 150 employees of a store located in downtown Boston, 54 people take the subway to work, 36…

A:

Q: (a) In how many ways can one component of each type be selected? (b) In how many ways can components…

A:

Q: 5. How many possible pemutations are there in the letters of the word PHILIPPINES?

A:

Q: Fifty women were assigned to receive an iron-fortified breakfast cereal with a banana, and 50 women…

A: Please see handwritten solution

Q: (a) How many ways are there to distribute seven identical apples and six identical pears to three…

A: Given: To distribute seven distinct apples and six distinct pears.

Q: Consider a Little League team that has 15 players on its roster. (a) How many ways are there to…

A:

Q: A student is given a reading list of eight books from which he must select two for an outside…

A: A student is given a reading list of eight books from which he must select two for an outside…

Q: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that exactly…

A:

Q: A person can order a new car with a choice of 8 possible​ colors, with or without air​…

A: Permutation and combination are used to calculate the number of possible ways to arrange or select a…

Q: a. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always…

A: here use counting principle

Q: 1. How many ways are there to choose a dozen donuts from 18 varieties: a) if there are no two donuts…

A:

Q: In how many ways can 8 people be seated in a ROUND TABLE if (a) there are no restrictions on the…

A: (a) (n-1)!=(8-1)!=7!(b) AB        ↓     1 unit∴ n = 7No of ways = (7-1)! 2!…

Q: A person can order a new car with a choice of 6 possible​ colors, with or without air​ conditioning,…

A: Solution :-

Q: How many ways are there to win first, second, and third places in a rally with 14 cars, provided…

A: The number of cars in the rally is 14. The first place can be chosen in 14 ways. Since one car has…

Q: (a) In how many ways could you arrange eight books on a shelf? (b) Would it be feasible to list the…

A: We have to find corrcet answer...

Q: Consider the letters a, b, c, d, & e .  In how many different ways can three letters be selected and…

A: Consider the letters a, b, c, d, & e Total 5 letter  ways to select three letter will be 5C3 =…

Q: Assume that the student has a cup with 9 writing implements: 4 pencils, 3 ball point pens, and 2…

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

Q: A company sells regular hamburgers as well as a larger burger. Either type can include cheese,…

A: We have to find no. Of ways to arrange.

Q: b.How many cards must be selected from a standard deck of 52 cards to guarantee that at least 5…

A:

Q: d) How many arrangements are there of the letters in the word SASKATOONS?

A: d) The number of arrangements are there letters in the word SASKATOONS is obtained below: There are…

Q: Determine if each is a permutation or a combination and then evaluate. 32. How many groups of three…

A: Note: “Since you have posted a question with multiple sub-parts, we will solve first three subparts…

Q: 7(a) A teacher selects 8 students from her class of 20 to work together on a project. How many ways…

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

Q: 29. How many possible sets of four marbles are there?

A: There are 3 red, 2 green, 1 lavender, 2 yellow and 2 orange marbles. 4 marbles are to be chosen.

Q: How many different ways are there to order a medium three topping pizza, given that there are eight…

A: we have to find no. Of ways....

Q: Consider a shipment of 50 laptops of which four are defective. A. In how many ways can we select…

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

Q: How many seating arrangements can be formed if by seating A,B,C,D,E in a row: If A,B,C sit together…

A: Given information: As per guidelines we will only answer the first three subparts, please repost…

Q: A rental car company has 14 available cars while on its lot and 3 customers waiting in the office.…

A:

Q: Determine whether the situation described below involves a permutation or a combination, and then…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: Given 9 different types. of ice cream: 4 with chocolate chip, 4 with sprinkles, and 3 with both, how…

A: solution:Given9 different type of icecreamchocolate chips=4sprinkles=4chocolate chips and sprinkles…

Q: If the goal keeper and defender should be selected from Class X that has 8O students for school…

A:

Q: 3) In MAPEH competition, 90 medals are awarded in different categories: medals in sports, medals in…

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Q: How many distinct arrangements are possible using the letters of the word POSSIBILITY?

A: Important keys :  When given a number of objects and we would to find the possible different…

Q: formed

A: A five-member committee is to be formed from 6 class A, 5 class B, and 4 clas C students. Here total…

Q: 9. Concider a shipment of 50 laptops of which four are defective. In how many ways can we select…

A:

Q: Suppose that two letters are to be selected from A, B, C, D, and E and arranged in order. How many…

A: Given: Two letters are to be selected from A, B, C, D, and E and arranged in order. There are in…

Q: 2. How many ways can 3 cards be selected from a standard deck of 52 cards, disregarding the order of…

A: To find the ways in which the 3 cards can be drawn from the deck of 52 cards if the order does not…

Q: How many 3-letter arrangements can be formed if at least one of the letters is to be chosen from the…

A: Given  3-letter arrangements can be formed if at least one of the letters is to be chosen from the…

Q: (a) In how many ways could you arrange NINE books on a shelf? (b) Would it be feasible to list the…

A: The permutation is the mathematical techniques, which is used to determine the number of possible…

Q: 2) How many 4 letter permutations can be formed from the letters in word rhombus?

A: Here AS per policy I have calculated first main question

Q: ent Painters, which specializes in painting the exterior of residential buildings, has five people…

A: Given that, 5 people are available in painting the exterior of residential buildings.

Q: In how many ways can ten people be seated around a circular table if three of them insist of NOT…

A: Given problem:- In how many ways can ten people be seated around a circular table if three of them…

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.