Suppose we want to choose 6 objects, without replacement, from 10 distinct objects. (a) How many ways can this be done, if the order of the choices is not taken into consideration? (b) How many ways can this be done, if the order of the choices is taken into consideration?

Q: In how many ways can a party of 5 persons arrange themselves in a row of 5 chairs?

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Q: |In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 9…

A: Combination is the arrangement of data without any order. It can arrange data from the sample from…

Q: An insurance agent has a list of 7 prospects and decides to telephone 5 of the prospects today and…

A: we want to find different ways can the agent telephone the prospects

Q: Mr. Jones has 10 books that he is going to put on his bookshelf. Of these, 4 are Math books, 3 are…

A: Given:- total books =10 maths books =4 Chemistry books =3 history books =2 song lyric book =1

Q: In how many ways can a commitee of 9 students be chosen from 8 juniors and 10 seniors if there must…

A: Given data: 8 juniors and 10 seniors

Q: A committee of 4 students is to be made. There are 5 boys and 5 girls available for selection. In…

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Q: In how many different ways can the director of a design and structural department choose 2 Civil…

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Q: In how many ways can a hostess select 6 luncheon guests from 10 women, if she is to avoid having a…

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Q: from a committee of 10 persons in how many ways can we choose a chairperson, a vice chairperson, and…

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Q: 3. A committee of 7 people is to be chosen from a group consisting of 7 men and 9 women. If the…

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Q: How many ways are there to choose 20 co-op candidates out of 30 students to send to work at the same…

A: For the solution follow the next step.

Q: Suppose we want to choose 7 objects, without replacement, from 9 distinct objects. (a) How many ways…

A:

Q: A clothing store has 13 shirts in 4 sizes: small, medium, large, and extra-large for sale. If it has…

A: Number of ways of selling two small shirts is 2! = 2 Number of ways of selling three medium shirts…

Q: In how many ways can a comittee of 6 be chosen from 6 administrators and 4 supervisors if all are…

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Q: In how many ways can a committee of 5 be formed from 5 juniors, and 7 seniors, if the committee must…

A: GivenNo.of juniors = 5No.of seniors = 7Total no.of seniors and juniors=12

Q: 9. There is a file of 30 soft drink cans in the first bottom row, 29 on the second row, and so on.…

A: Formula:  Sum of first n natural numbers is  1+2+3+....+n= n(n+1)/2. Here total number of cans is  =…

Q: Example 44. A committee of 3 experts is to be selected out of a panel of 7 persons; three of them…

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Q: A TV show has 26 episodes. Due to the lack of time, you can only watch 5 of them. However, in order…

A: Given, TV show has 26 episodes and you watch only 5 of them. You do not want to watch any two…

Q: 4. The janitor wants to prevent insect invasion in a building with 15 floors. Since insect killing…

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Q: Suppose we want to choose 5 objects, without replacement, from 15 distinct objects. 1) How many…

A: Provided information is ; number of objects(n) =15 For Case 1] : if the order of the choices is…

Q: Hello. How do I set up and work out this problem?

A: Given information:The total number of balls is 8.The number of black balls is 4 and the number of…

Q: In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10…

A: Given that the picture has to be taken for 6 people out of 10 where exactly one of the bride or the…

Q: Suppose we want to choose 5 objects, without replacement, from 8 distinct objects. (a) If the order…

A:

Q: In how many ways can a group of 5 girls be selected from 8 if the eldest girl is included in each…

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

Q: From a group of 4 men and 5 women, how many committees of size 3 are possible a) With no…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: 1. A baseball team that has 15 players on its roster. Nine players will be selected for their…

A: Given that  Number of people on its roster (n) =  15 Number of left handers = 5 Number of right…

Q: Suppose that Ten service customers need service call and the maintenance worker can only service…

A: Based on the information, the dispatcher cares who serviced first, second and third. In this…

Q: How many ways can A, B, C, and D be arranged to the __ __ __ __ if D is restricted to the third and…

A: Let A,B,C and D be the four letters that we have to arrange. Given: D is restricted to the third and…

Q: In how many ways can a committee of three men and four women be formed from a group of 10 men and 10…

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Q: Suppose we want to choose 6 objects, without replacement, from 8 distinct objects. (If necessary,…

A: Given data: Number of distinct objects  (n) = 8 Number of objects to choose(x) = 6

Q: How many different arrangements are there for placing identical coins into three different piggy…

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Q: In how many ways can a hostess select six luncheon guests from 10 women if she is to avoid having a…

A: Combination and permutations

Q: 2. Show that the combination of choosing r items from a set of n items has the same possible…

A: Combination can be defined as the number of ways of merging things disregarding of their orders.  It…

Q: In how many ways can six pictures be selected from a group of ten different pictures?

A: It is given that 6 different pictures are to be selected from a group of 10 pictures, therefore,

Q: In a group of 6 boys and 4 girls, 4 children are to be selected. In how many ways can they be…

A: The number of ways in which r different items can be selected from n different items, can be given…

Q: How many 4-person committiees can be formed from a group of 8 teachers and 5 students if there must…

A: If there is 1 teacher, then there must be (4-1)=3 students.  We can pick 1 teacher from 8 teachers…

Q: Suppose we want to choose 2 object, without replacement, from the 4 objects pencil,eraser, desk ,…

A: If we want to select 2 object among 4 object without Replacement. Then the number of ways is

Q: 1. A license plate begins with three letters and three numbers. If the possible letters are all…

A: Given: The possible letters are vowels; that is, a, e, i, o, u. The possible digits are odd numbers;…

Q: Part 1,4, and 5, please

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Q: 4. Consider a bag containing four red marbles, two green ones, one transparent one, three yellow…

A: Given that there are 4 red marbles, 2 green,1 transparent, 3 yellow, and 2 orange marbles. So there…

Q: How many different letter arrangements can be made from the letters in the word of ASSASSINATION

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

Q: In how many ways can a committee of three men and four women be formed from a group of 12 men and 12…

A: given: Number of men = 12 Number of women = 12 The number of ways of choosing "r" from "n" is…

Q: Suppose we want to choose 5 objects, without replacement, from 15 distinct objects.

A: Given data: The total numbers of objects are n=15. The numbers of objects choose is r=5. (a) Write…

Q: In how many ways can a selection of 3 men and 2 women can be made from a group of 5 men and 5 women…

A: First find in how many ways can women and men be chosen.

Q: toys of the same material type must be grouped together;(B)rubber toys should not be next to each…

A: Here 3 paper toys, 7 rubber toys, and 5 plastic toy so total 15 toys

Q: company’s CEO has 8 people reporting directly to her, and she wants to select 2 to attend the grand…

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Q: 2) A class has 25 students. Each day, three students are chosen to present their work at the board.…

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Q: in how many ways can 2 men, 4 women, 3 boys, and 3 girls be selected from 6 men, 8 women, 4 boys,…

A: Ans# Given 6 man, 8 women, 4 boys and 5 girls.          How many ways can 2 men, 4 women, 3 boys and…

Q: a) From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at…

A: Given that from a group of 7 men and 6 women, five persons are to be selected to form a committee so…

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…