Bob owns 10 different books. He wants to pick out and around 8 of these books left to right on a single bookshelf. How many distinguishable ways can Bob do this? A. 1,814,400 B. 1, 814,500 C. 1,814, 600 D. 1,814,700

Q: In how many ways can 8 boys and 7 girls be arranged on a bench if: a. boys and girls are in…

A: There are : 8 boys and 7 girls We will use the principle of permutation and combination here The…

Q: How many different ID cards can be made if there are 7 digits on a card and no digit can be used…

A: Total no.of digits (0 to 9)=10given ID card has 7 digits

Q: Kelly has different books to arrange on a shelf, 4 blue, 3 green, and 2 red. Answer parts a through…

A: Answer of (a) is  4*3*2 = 24

Q: The word CAMBRIDGE includes the three vowels A, E and I and six different consonants. i) Find the…

A:

Q: V. How many different ways can the letters of each word can be arranged? 34. CIRCUIT 8. PARALLEL…

A: For the given how many different ways can the letter of each word be arranged

Q: 3) A bag contains 8 red crayons, 14 purple crayons, 6 yellow crayons, and 4 green crayons. WITH…

A: There are total (8+14+6+4)=32 crayons. We can pick any 2 crayon with replacement from 32 crayons in…

Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}.…

A: The given sets are as follows. A=Dirk,Johan,Frans,SarieB=Frans,Sarie,Tina,Klaas,HenrikaC=Hans,Frans…

Q: In the 6/50 lottery game, a player picks six numbers from 1 to 50. How many different choices does…

A: Given information In 6/50 lottery game A player picks 6 numbers from 1 to 50

Q: 4. The Rocket Coaster has 15 cars, some that hold 4 people and some that hold 6 people. There is…

A: Let the number of 4 -passenger car is x. and, the number of 6 -passenger car is y. then as the given…

Q: How many different 10-letter words (real or imaginary) can be formed from the following letters? W,…

A: There are 10 letters in which 1-W, 3-R's, 1-F, 1-A, 1-H, 1-V, 1-K, 1-J.

Q: A luxury liner has 20 rooms on the upper deck. In how many ways can 5 passengers be assigned to…

A: From the provided information, A luxury liner has 20 rooms on the upper deck. 5 passengers to be…

Q: 4 people rent a house that has 4 bedrooms. How many ways are there to assign the bedrooms to the…

A: 4 people 4 bedroom

Q: 4.aJuaquin is picking a code for his computer password. His password must contain 3 letters and 4…

A:

Q: 2. How many ways are there to arrange the letters in the following words? (a) CRABS (b) САСАО (с)…

A: To find the number of arrangements of letters in given words.

Q: In how many ways can 7 books be arranged on a shelf if (a) any arrangement is possible, (b) 3…

A: Introduction:  Arrangement: The number of possible arrangement of different objects in different…

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

A:

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: In how many ways can the letters of the word BEAUTY be arranged? O 360 O 5! 6! 7!

A: The number of ways the letters of the word BEAUTY can be arranged is calculated as shown below.

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: 8) Find the number of ways 12 ducks can be divided into a) 2 groups of 8 ducks and 4 ducks b) 3…

A: we have to find no. Of ways fora and b..

Q: ne people on a basketball team show up for a game a) How many ways are there to choose 5 players to…

A: We solve the problem by permutation and combination concept.

Q: 25. A boy owns 3 pairs of pants, 5 shirts, and 2 jackets. How many different outfits can he wear to…

A: Given, a boy owns 3 pairs of pants, 5 shirts and 2 jackets.

Q: Bob owns 13 different books. He wants to pick out and arrange 5 of these books left-to-right on a…

A:

Q: The Al Baloushi family is selecting a furniture set. A furniture set has a bed, a desk and a…

A: Let us assume that B ; D ; R denotes the event that  1 Bed , 1 desk and 1 dresser are selected  Then…

Q: A clown owns 8 hat(s), 8 horn(s), 5 oufits. How many different outfits can the clown put together if…

A: Given that, A clown owns 8 hats, 8 horns, 5 outfits. We need to find the number of different outfits…

Q: Bob owns 15 different books. He wants to pick out and arrange 4 of these books left-to-right on a…

A:

Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}.…

A: We want to find number of elements in A∪B.

Q: A team of 22 soccer players needs to choose 3 players to fill water bottles. How many different…

A: According to the given information, we haveA team of 22 soccer players needs to choose 3 players to…

Q: Bob owns 14 different books. He wants to pick out and arrange 8 of these books left to right on a…

A: From the provided information, Bob owns 14 different books. He wants to pick 8 books and arrange…

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 a class of 14 students be assigned 3 A's, 2 B's, 2 C's, 3 D's and 4 F's? ways

A:

Q: Derek, Abdul, Bernard, and Suzie are playing hide-and-seek and taking turns being 'it'. In how many…

A:

Q: bob owns 10 different books. He wants to grab 4 of them and throw them into his backpack. How many…

A: Solution-: We have 10 different books Bob wants to grab 4 of them and throw them into his backpack.…

Q: Arne, Bob, and Chuck have reserved three seats in a row at the theater, starting at an aisle seat.…

A: Given problem Given that   Arne , Bob and Chuck have reserved three seats in a row at the theatre.…

Q: A young boy asks his mother to get 5 game-boy cartridges from his collection of 15 arcade and 9…

A:

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

A:

Q: In how many ways Jane, Liza, Karen, Lea, Jamie, Andrea, Nicole, and Jazz can be seated in a round…

A: There are 8 persons  So total number of ways by which they can sit =8!  8!=8×7×6×5×4×3×2×1 =40320.

Q: How many different 10 letter words can be formed from the following letters? V W I O W G W H S T

A: Determine the number of letters can be formed by using the 10 letter words.   The number of letters…

Q: Powerball lottery requires choosing five of the numbers 1 through 59 and one number from 1 through…

A: Consider the provided question, 5 number can select from 59,  C559 ways. and, 1 number can select…

Q: In how many ways can the letters of the word 'ABDULL' be arranged? Select one: O a. none of these O…

A: here total alphabets in this word is 6 than the ways to arrange the word will be 6! that is…

Q: A class has 35 students. In how many different ways can five students form a group for an​ activity?…

A: It is given that N is 35 and r is 5.

Q: [Q1] How many 4-letters codes can be formed from the 9 digits {1, 2, ..., 9} if: (a) the order of…

A: First understand,  Order matters=  permutation  Order doesn't matter = combination We have to…

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: How many dipferen ways Can the letters -f the ward Bab be aranged

A: The word is Babbe

Q: How many ways can 10 people line up at the front of a class if Billy and Samantha are together? O…

A:

Q: In how many distinct ways can the letters in COMMISERATE be arranged' 9,979,200 8,280,140 1,030,984…

A: The word COMMISERATE contains 11 letters.This has 11 letters of which E occurs 2 times, M occurs 2…

Q: Sunwoo’s closet contains 15 different styles of jacket. In how many ways can New pick out four…

A: The total number of jacket is 15 and number of different style of jacket is 4.

Q: In how many ways can 8 people be seated in a row if persons A and B must sit next each other? Select…

A:

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

Q: There are 6boys who enter a boat with 8 seats in how many ways can they sit anywhere.

A: