Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
Bartleby Related Questions Icon

Related questions

Question
100%

Using Java to design and implement the class PascalTriangle that will generate a Pascal
Triangle from a given number of rows. Represent each row in a triangle as a list and the entire
triangle as a list of these lists. Please implement the class ArrayList for these lists
Please do not use the binomial coeffiient formula { C(n,k)= n! / (k!*(n-k)!) to create the triangle. The triangle has to be generate using in this way: each row of the triangle begins and ends with 1, value at (x,y) equals to sum of value at (x-1, y-1) & (x-1,y), whereas x is the row number and y is the columm. 

As seen in this Pascal's Triangle:
1
1
1
1
1
1
3
3
1
1
4
4
1
Each row begins and ends with 1. Each interior entry is the sum of the two
entries above it. For example, in the last row given here, 4 is the sum of 1 and
3, 6 is the sum of 3 and 3, and 4 is the sum of 3 and 1.
If we number both the rows and the entries in each row beginning with 0, the
entry in position k of row n is often denoted as C(n, k). For example, the 6 in
the last row is C(4, 2). Given n items, C(n, k) turns out to be the number of
that
you can select k of the n items. Thus, C(4, 2), which is 6, is the
ways
number of ways
that
you can select
two of four given items. So if A, B, C, and D are the four items, here are the
six possible cho ices:
А В, А С, А D, BС, В О, СD
Note that the order of the items in each pair is irrelevant. For instance, the choice
AB is the same as the cho ice B A.
expand button
Transcribed Image Text:As seen in this Pascal's Triangle: 1 1 1 1 1 1 3 3 1 1 4 4 1 Each row begins and ends with 1. Each interior entry is the sum of the two entries above it. For example, in the last row given here, 4 is the sum of 1 and 3, 6 is the sum of 3 and 3, and 4 is the sum of 3 and 1. If we number both the rows and the entries in each row beginning with 0, the entry in position k of row n is often denoted as C(n, k). For example, the 6 in the last row is C(4, 2). Given n items, C(n, k) turns out to be the number of that you can select k of the n items. Thus, C(4, 2), which is 6, is the ways number of ways that you can select two of four given items. So if A, B, C, and D are the four items, here are the six possible cho ices: А В, А С, А D, BС, В О, СD Note that the order of the items in each pair is irrelevant. For instance, the choice AB is the same as the cho ice B A.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Computer Science
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Text book image
Database System Concepts
Computer Science
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:McGraw-Hill Education
Text book image
Starting Out with Python (4th Edition)
Computer Science
ISBN:9780134444321
Author:Tony Gaddis
Publisher:PEARSON
Text book image
Digital Fundamentals (11th Edition)
Computer Science
ISBN:9780132737968
Author:Thomas L. Floyd
Publisher:PEARSON
Text book image
C How to Program (8th Edition)
Computer Science
ISBN:9780133976892
Author:Paul J. Deitel, Harvey Deitel
Publisher:PEARSON
Text book image
Database Systems: Design, Implementation, & Manag...
Computer Science
ISBN:9781337627900
Author:Carlos Coronel, Steven Morris
Publisher:Cengage Learning
Text book image
Programmable Logic Controllers
Computer Science
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education