(a) If he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? (b) If 6 bottles of wine are to be randomly selected from the 30 for serving, how many ways are there to do this? (c) If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety?

Q: (a) A company that makes crayons is trying to decide which 5 colors to include in a promotional…

A: Here use combination theory

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A: Permutation: The procedures of permutation and combination are used to count the number of…

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A:

Q: In an art gallery there are 10 paintings to be hung on a wall, but 5 of which must be hung in a row.…

A: There are 10 paintings in an art gallery. Of which 5 paintings must be hung in a row.

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A: No. of players in the volleyball teamNo. of players needed to playThe positions are numbered from…

Q: How many ways are there to select three diamond earrings from a box of ten diamond earrings,…

A: Total diamond earrings = 10 We have to select three diamond earrings from a box. Order does not…

Q: Suppose we want to choose 2 colors, without replacement, from the 4 colors red, blue, green, and…

A: Given No. of colors = 4 ( i.e, Red, Blue , Green & Purple)a) Arrangement of elements in a…

Q: A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be…

A: Given : Total number of people = 20 Number of committee member = 6

Q: You go to a store which buys 7 brands of candies (B1, B2, ., B7). You have 4 children and you want…

A: A combination is an arrangement of items in which order does not matter. Number of combinations of n…

Q: A group of 2 students is to be chosen from a 30-member class to represent the class on the student…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: In how many ways can the committee of 6 members be selected? How many different committees can be…

A:

Q: Alexis wants to find out which laundry detergent cleans the best. into equal squares. He stains four…

A: Given: Alexis stains four squares with chocolate and four with grape juice and washes one of each of…

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A: If a process is done in two phases in which the first phase can be done in m ways and the second…

Q: One stormy day, the principal announces the suspension of classes to two teachers, each of whom…

A: In first round one text message was sent to two people. In second round, two people send two text…

Q: Suppose we want to choose 4 letters, without replacement, from 18 distinct letters. (a) How many…

A: Permutation and combination are the techniques for estimating the number of ways of selecting the…

Q: Ashtyn and Olivia wanted to know if generic chocolate chip cookies have as many chocolate chips as…

A: Introduction: For testing the two population means we can use Z-test and t-test for testing the…

Q: A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be…

A: Number of ways of selecting 6 people of committee  from the group of 20 people will be:

Q: You have 10 concert tickets to distribute among 15 friends.  Of the 10 tickets, six have assigned…

A:

Q: You are teaching a math class, and have seventeen students who are so hard-working and invested, you…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…

Q: A computer user has downloaded 23 songs using an online file-sharing program and wants to create a…

A: GivenNo.of downloaded songs(n)=23no.of  songs to use in CD player(r)=8

Q: (b) From a collection of 52 store customers, 3 are to be chosen to receive a special gift. How many…

A: a group of 52 store customers. 3 persons are to be selected, need to find total way exactly 3 store…

Q: . How many different ways are there of handing out the prizes if (a) the prizes are all the same?…

A: A kindergarten class has 18 children. FIve of the children are selected to receive prizes. Here use…

Q: A store has 60 sweaters (all different), 20 pants (all different), and 10 pairs of sneakers (all…

A: Given that, a store has 60 sweaters, 20 pants, and 10 pairs of sneakers. a) The number of ways a…

Q: From a class containing 5 boys and 6 girls a group of 5 students is to be selected. There are how…

A: We have given that Number of boys = 5 Number of Girls = 6 We have to select 5  students

Q: Suppose we want to choose 2 colors, without replacement, from the 4 colors red, blue, green, and…

A: Given data: Suppose we want to choose 2 colors, without replacement, from the 4 colors red, blue,…