19. There are ten tokens, 3 black and 7 white, are to be randomly placed into each ofthe unit squares of a 2x5 board, where each unit square can only fit exactly onetoken. How many ways are there to place the tokens such that no two black tokensare adjacent to each other?(A) 30(B) 36(C) 38(D) 40(E) 60A

Answered: Image /qna-images/answer/55cf3bb4-8336-495c-9691-cba2e56f16e9.jpg

Answered: 19. There are ten tokens, 3 black and 7…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

Jack packs 3 pairs of shoes, 4 pairs of boots, 8 pairs of jeans, 9 pairs of dress pants, and 2 dress shirts for a trip. (a) How many different outfits can Jack make with these items? (b) If Jack were to bring along 4 sweaters so that he could wear either a dress shirt or a sweater or he could wear both a dress shirt and a sweater, how many outfits could Jack make? (a) Jack can make (Type a whole number.) different outfits with these items. (b) Jack can make different outfits with these items. (Type a whole number.)
Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate notation: ( ) 16.) A group of 2 professors and 5 students (3 grad students and 2 undergrads) go to a movie together. The professors want to sit together, and the grad students want to sit together. How many ways are there to seat this group in a row of 7 seats?
Help
A club has 13 women and 7 men. They decided that at leats two women should represent them on the committee of 8. Under this restriction, how many different groups from this club are possible?
You have one pile of 11 building blocks, each one a different color, and you also have another pile of 7 blocks, again each one a different color. How many ways are there to build a tower 4 blocks high from the first pile and another tower 3 blocks high from the second pile? Assume that the colors at each level of a tower matter. (A) 318 (B) C(11,4) C(7, 3) (C) P(11,4) P(7,3) (D) P(18,7) (E) 311 (F) C(18,7) (G) P(11,4)+ P(7,3) (H) C(11,4)+ C(7,3) O A OB OC O E O F OG H.
Three hungry pirates, Ahab, Bluebeard, and Hook, were stranded on a desert island. They came upon a treasure chest, which they immediately opened. To their joy, they found it to be full of pretzels! Immediately they each ate 10, then they decided they should save the rest for later. That night, after the others had fallen asleep, Ahab crept to the treasure chest and opened it. He separated the pretzels into 3 equal piles. There was 1 extra pretzel, which he gave to a passing monkey. Then he stole one of the 3 equal piles of pretzels, put the rest back into the chest, and went back to camp. A short time later Bluebeard sneaked over to the chest. He separated the pretzels into four equal piles (he wasn’t quite as greedy as Ahab). There were 2 extra pretzels, which he gave to a passing monkey. He then stole one of the four piles and put the rest back into the chest. Still later Hook went to the chest and separated the pretzels into five equal piles. There were 3 left over, which he gave…
A bag of skittles is supposed to have equal numbers of colors in the bagThere are skittles in my bag and there are 6 different (marry of each color there be then?)I count and there are only red is the -square tost for color
Say the football team F, the basketball team B, and the track team T, decide to form a varsity club V. How many members will V have if n(F)=25, n(B)=12, n(T)=30, and no person belongs to at least two teams?
A club with 20 women and 17 men needs to form a committee of size six. How many committees are possible if the committee must have three women and three men? O (³7) 20 (²⁹9) O (¹3) O (¹27) (²0) + (¹7) (²3⁹°) + (¹7) (²º) + (¹7) (²º) + (17) (²0) (20) + (¹7)
37. How many different elements does A x B have if A has m elements and B has n elements?
A troop of 17 monkeys store their bananas in 11 piles of equal size, each containing more than 1 banana, with a twelfth pile of 6 left over. When they divide the bananas into 17 equal groups, none remain. What is the smallest number of bananas they can have?
3. How many different arrangements are there using all the letters in the word COMBINATORICS. A. 6.23×10⁹ B. 7.78×108 C. 1.56x10⁹ D. 1.25×10¹0

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra and Trigonometry (6th Edition)

Algebra

ISBN:

9780134463216

Author:

Robert F. Blitzer

Publisher:

PEARSON

Contemporary Abstract Algebra

Algebra

ISBN:

9781305657960

Author:

Joseph Gallian

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra and Trigonometry (6th Edition)

Algebra

ISBN:

9780134463216

Author:

Robert F. Blitzer

Publisher:

PEARSON

Contemporary Abstract Algebra

Algebra

ISBN:

9781305657960

Author:

Joseph Gallian

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra And Trigonometry (11th Edition)

Algebra

ISBN:

9780135163078

Author:

Michael Sullivan

Publisher:

PEARSON

Introduction to Linear Algebra, Fifth Edition

Algebra

ISBN:

9780980232776

Author:

Gilbert Strang

Publisher:

Wellesley-Cambridge Press

College Algebra (Collegiate Math)

Algebra

ISBN:

9780077836344

Author:

Julie Miller, Donna Gerken

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS