of 2 3. If you read 20 books this year, a. How many different sets of 6 books could you recommend someone to read? b. How many different ways could you pick your #1, #2, #3 books for the year?

Q: In how many ways can we select 6 people out of 12, of which a particular person is not included? O…

A: Given Number of people is given=12  6 people want to be selected out of 12

Q: In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the…

A: Please refer to the image below

Q: A catering service offers 12 appetizers, 5 main courses, and 11 desserts. A customer is to select 11…

A: Crn = n!r!n-r!

Q: How many ways can you get a four of a kind in a five card hand? Four of a kind is where you receive…

A: The number of ways to get a four of a kind in a five card hand is,

Q: 10 samples of different cakes are on display as customers leave a store, theyare told that they can…

A: When r number of objects are selected from total n number of distinct objects then the total number…

Q: a. no three digits are to be the same? b. the number must be odd? c. the number must be even?

A: here given  5 digit number formed from the digits 1,2,3,....9  so there are 9 digit available for…

Q: How many ways can the letters be arranged? If each letter is distinct (that is, each letter E is…

A: Consider the letters of the word ELEEMOSYNARY Total 12 letters E occurs 3 times Y occurs 2 times…

Q: In how many ways could 10 different questions be arranged on your next quiz if:   a) there are no…

A:

Q: If there are 9 people and only 4 chairs are available , which of the following is the correct…

A:

Q: How many ways can you arrange the letters from the word following words? a. CODES b. CABLES c. FISH…

A:

Q: How many ways are there to have four puppies that all have pointy ears? 1 2. 3

A: Given information: P(pointy)=0.25 P(floppy)=0.75 An ultrasound reveils that your new Statspoodle…

Q: 1. When ordering a pizza from Alberto's, you were asked first to choose a type of crust: thin or dep…

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

Q: (g) A company has two employees with 12 offices. How many ways are there to assign different offices…

A:

Q: n how many ways can 6 women and 3 men be seated in a row of 9 seats at a movie theatel assuming that…

A: Number of women = 6 number of men = 3

Q: How many different 5-letter radio station call letters can be made a. d the first letter must be C,…

A: a. Total possible ways to fill the first letter=3(C,W or Q) Since first position is already filled…

Q: (d) Given the word PERMISSION, in how many ways can all the letters be arranged if (ii) Number of…

A: (d) (ii) It is been asked to find the number of possible arrangement of all letters in word…

Q: 5. If there are 13 people and only 6 chairs are available. In how many ways they can be seated? A.…

A: The number of people is 13 and the number of chairs available is 6.

Q: III. 50 people were surveyed about whether they like the ice cream flavors vanilla and strawberry.…

A: Total number of people= 50 Total number of people who liked vanilla = V= 20 Total number of people…

Q: How many ways are there to have one puppy out of the four with pointy ears? 1 3. 4

A: Given that, an ultrasound  reveals that Statspoodle will have four puppies. we need to know how many…

Q: How many numbers are there between 500 and 1000 which have exactly one of their digits as 8? a.153…

A: Let's find.

Q: For how many n ∈ {1, 2, 3, …, 1000} is n a multiple of one or more of 5, 6, or 7?

A:

Q: In how many different ways can these 10 people be arranged if two boys cannot be seated next to each…

A: Given: Total number of people = 10 Number of boys not sitting together = 2

Q: Suppose we want to choose 6 letters, without replacement, from 13 distinct letters. (If necessary,…

A: Giventotal no.of distinct letters(n) = 13no.of letters to be choosen(r)= 6

Q: For how many n Ee {1,2, ..., 550} is n a multiple of one or more of 9, 4, or 7?

A:

Q: 2. How many ways are there to order the letters L,A,K.E,S?

A: Given, The letters L,A,K,E,S  We have to find how many ways are there to order the letters.

Q: For each of the following, indicate if it is a problem involving permutations, combinations, or…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: In how many possible ways can Juan answer an 8-item matching type quiz if there are also 10 choices…

A:

Q: 18. How many ways can the coach choose five starters from a team of 12 players? * O A. 7 О в. 17 ОС.…

A: Given From 12 players to choose 5 starters

Q: Possible grades for a class are A,B,C,D,F, and G. A. how many ways are there to assign grades to a…

A: There are total 6 grades in A,B,C,D,F and G.  So each student can get a grade in 6 ways.  So total…

Q: 14.How many ways can a student select five questions from an exam containing 12 questions, if one of…

A: We know that: combination formula is given by,  nCr=n!r!n-1 !Where:    C=Number of combinations…

Q: i How many different ways can the podium be arranged? (The podium has a spot for only the 1st, 2nd…

A: (i). Find the number of different ways in which the podium can be arranged: Total number of horses…

Q: Q.7| Ten people have a potluck. Five people will be sekected to bring the main dishes, three people…

A: Given Information: Total people = 10  People who will bring main dish = 5  People who will bring…

Q: In how many ways can we select 5 people out of 10, of which a particular person is not included? a.…

A: Here we have to select 5 people out of 10 of which a particular person in not included

Q: 10 samples of different publishers are on display at a book store customers.…

A:

Q: In how many ways number of 2 digits can be formed out of the four digits 1, 2, 3 and 4? Select one:…

A: The given four digits are 1,2,3,4. We need to form a two digited number with the given 4 digits.

Q: In how many ways can you choose 3 gifts from a bag containing 6 different gifts? O 21 O None of…

A: Given data,No of gifts=6No of gifts to be choosen is=3How many ways?

Q: . m how many ways can each of the following be drawn from a standard deck of 52 cards? a. three…

A: For the given data in how many ways can each of the following can be drawn from a standard deck of…

Q: How many ways can 10 used cars at a parking lot be parked in a row if the 4 different black cars…

A: We have to find total number to ways to park 10 car such that 4 black cars must not be together.

Q: In how many ways can a group of 10 people be seated around a table if 3 of them insist on sitting…

A: We have to find number of  ways can a group of 10 people be seated around a table if 3 of them…

Q: 1. How many ways can you arrange 4 people in a row? 36 O 24 16 O 120

A: We know that  We can arrange n people  n!= n×(n-1)×(n-2) .........2×1

Q: How many different dinners can be made by choosing one of each of five vegetables, four meats, and…

A: Apply combination

Q: In how many ways can two hearts be drawn from a deck of cards? (Order is not important.

A:

Q: An instructor gives an exam with fifteen questions. Students are allowed to choose any eleven to…

A: c) We can select 11 questions from 15 questions in 15C11 = 1365 ways   Then we find the total number…

Q: 33. From a club of 15 people, in how many ways can a group of four members be selected to attend a​…

A: Total number of ways = Crn where n is the total and r is the selected people.

Q: 12 a)samples of different pastries are on display as customers leave a bakery, they are told that…

A: 12 samples of different pastries are on display as customers leave a bakery, they are told that they…

Q: In how many ways can(9)toys be distributed to(4)children so that the yongest child receives (3)toys…

A:

Q: 12 samples of different pastries are on display as customers leave a bakery, they are told that they…

A: We know that number of ways of selecting r things out of n things = Crn There are 12 samples of…

Q: How many ways can the letters of the word "C A L O O C A N" be arranged?

A:

Q: A club with twelve members is to choose three officers: president, vice-president, and…

A: It is given that, A club has 12 members and we have to choose three officers as president,…

Q: Let n(A) = 4, n(A ∩ B) = 4, n(A ∪ B) = 10. How many elements are there in B?

A: Given,  n(A) = 4, n(A ∩ B) = 4, n(A ∪ B) = 10