Question: Suppose we have seven different colored balls and four containers numbered I, II, III, and IV. (a) In how many ways can we distribute the

Suppose we have seven different colored balls and four containers numbered I, II, III, and IV. (a) In how many ways can we distribute the balls so that no container is left empty? (b) In this collection of seven colored balls, one of them is blue. In how many ways can we distribute the balls so that no container is empty and the blue ball is in container II? (c) If we remove the numbers from the containers so that we can no longer distinguish them, in how many ways can we distribute the seven colored balls among the four identical containers, with some container(s) possibly empty?

Step by Step Solution

★★★★★

3.34 Rating (172 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a 4S74 b 3S63 Here container ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

954-M-L-A-L-S (7661).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

In how many ways can we select seven nonconsecutive integers from {1, 2, 3, ..., 50}?

A bag of 16 balls contains one red, three yellow, five green, and seven blue balls. Suppose four balls are picked, sampling with replacement. (a) Find the probability that the sample contains at...

A sample of 100 colored balls is selected from a large container of red balls and white ballscall it Container A. A second sample, this one of size 150, is selected from another container of red...

U ref use text name. for book search on google Show written solutions for all of the following problems. Unit 5: Counting Theory Text: A Spiral Workbook for Discrete Mathematics. 8.2: Addition and...

1 WILMINGTON UNIVERSITY LIBRARY Business Continuity Plan (BCP) and Disaster Recovery Plan (DRP) 2 WILMU LIBRARY SERVICES 20,000 student population served 13 physical locations of access to university...

PRINTABLE VERSION Practice Test 3 Question 1 A problem is listed below. Identify its type. Craig bought a new boat. He made a 17% down payment. He financed the rest through his bank for 6 years. His...

MAT 281 EXERCISES 1. Two students are randomly selected from a statistics class, and it is observed whether or not they suffer from math anxiety. How many total outcomes are possible? Draw a tree...

Hello i need this to be solved for me pls because i am preparing for exam at the moment and i dont know wat to do MAT 281 EXERCISES 1. Two students are randomly selected from a statistics class, and...

MAT 281 EXERCISES 1. Two students are randomly selected from a statistics class, and it is observed whether or not they suffer from math anxiety. How many total outcomes are possible? Draw a tree...

STAT 200 Final Examination Summer 2017 OL3 Page 1 of 10 STAT 200 Introduction to Statistics Name______________________________ Final Examination: Summer 2017 OL3/US2 Instructor...

Explain some reporting techniques that may cause dysfunctional behavior by a manager.

A manager of a supply company has decided to select a sample of 25 items from the shipments received at his store If the sample contains fewer than three defective parts the entire shipment will be...

15. What is the decimal representation of each of the following signed binary numbers? a. 10110101 b. 00101010 c. 11110000

List the logistics tasks for (a) a street parade, (b) a product launch and (c) a company party.

During 2003, a share of stock in the Coca-Cola Company sold for $39. During 2008, the price hit $56 per share. Express the increase in price as a percent of the price in 2003. Round to the nearest...

Zeke bought g shares of stock for w dollars per share. His broker called him and told him to sell the shares when they earn a 40% capital gain. a. Express the total purchase price of all the shares...

Jake bought d shares of stock for x dollars per share years ago. His stock rose in price and eventually hit a price that would earn him a 140% capital gain. He decided to sell half of his d shares....

Consider the following information from the Bubble.com IPO prospectus and finance.yahoo.com Bubble.com is offering 10,000,000 shares of Class A common stock and the selling stockholders are offering...

Morrison Oil and Gas is faced with an interesting investment opportunity. The investment involves the exploration for a significant deposit of natural gas in southeastern Louisiana near Cameron. The...

Capital Budgeting Investment, Model, and Analysis - COMPANY IS AMAZON Use the company that was selected for the class assignments. This assignment involves development of an Excel-based capital...