Question: (a) In how many ways can one totally order the partial order of positive-integer divisors of 96? (b) How many of the total orders in

(a) In how many ways can one totally order the partial order of positive-integer divisors of 96?
(b) How many of the total orders in part (a) start with 96 > 32?
(c) How many of the total orders in part (a) end with 3 > 1?
(d) How many of the total orders in part (a) start with 96 > 32 and end with 3 > 1?
(e) How many of the total orders in part (a) start with 96 > 48 > 32 > 16?

Step by Step Solution

★★★★★

3.37 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Since 96 2 5 3 there are ways to totally order the partial ... 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 (7912).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

(a) In how many ways can one travel in the xy-plane from (1, 2) to (5, 9) if each move is one of the following types: (R): (x, y) (x + 1, y); (U): (x, y) (x, y + 1)? (b) Answer part (a) if a third...

(a) In how many ways can one go from (0, 0) to (7, 3) if the only moves permitted are R: (x, y) (x + 1, y) and U: (x, y) (x, y + 1), and the number of U's may never exceed the number of R's along...

a) In how many ways can one select two positive integers m,n, not necessarily distinct, so that 1

Hello, Please refer to the attached document, its an assignment question consisting five question. You just have to do question 7.0,Section 1 ? To be completed by the ?Chief Executive Officer? of the...

Case StudyA Practical Approach to Information Communications Technology IT Governance Committee: Assume that you are part of the highly qualified IT Governance Committee employed by one of the USs...

1.0 Introduction On the morning of October 31 st , Peter Greyton, Chief Information Officer at Mamas Pizzeria, was waiting for both Jim Saxton, database administrator, and Elaine Black, operations...

5 Attraction to Groups Learning Objectives What We Will Be Investigating What makes a group work most efficiently? What techniques are available to make group members feel more as if they are part of...

Provide a summary technical report with about Pipelined Execution which is also named as Instruction Level Parallelism, addressing mainly the following areas: 1. What is Pipelined Execution and its...

The authors suggest that the objectives of customer satisfaction and profitability can be achieved by observing the processing of an order throughout the entire Order Management Cycle (OMC). The...

Please read the question Question: On pages 5 and 6 the authors write, "Narrative provides not only meaning but also a mental framework for imbuing future experiences and information with meaning, in...

The trial balance data presented in P7-33 can be converted to reflect use of the cost method by inserting the following amounts in place of those presented for Prime Company: Investment in Lane...

Assess both the short-term and the long-term costs and benefits of obtaining a graduate degree. Support your decision to obtain a graduate degree with a cost-benefit analysis of your particular...

The possibility that more than one discount rate will make the NPV of an investment equal to zero presents the problem referred to as: Question 3 options: a) issues of scale. b) the mutually...

The 7-Eleven chain of convenience stores in Japan reorganized its system for supplying its stores with food. This led to a sharp reduction in the number of trucks the company had to use, while...

Under what conditions are the following true for vectors u and v in IR2 or IR3? (a) ||u + v|| = ||u|| + ||v|| (b) ||u + v|| = ||u|| - ||v||

Prove the stated property of distance between vectors. a. d(u, v) = d(v, u) for all vectors u and v b. d(u, w) d(u, v) + d(v, w) for all vectors u, v, and w c. d(u, v) = 0 if and only if u = v

Prove that u cv = c(u v) for all vectors u and v in Rn and all scalars c.

ququestion (1) Confidence intervals and tests of significance are two most common types of statistical inference. You are required to explain in a few sentences the fundamental differences between...

you would like to know how long american scuba-divers can stay underwater. you heard that the average number of minutes american scuba-divers can dive without coming to the surface equals 65 minutes....

Now, let's simulate the sampling distribution of sample average by resampling from the population many many times (say 10,000 times). In the Java App: Biock histogram: Population distribution...