2 Write out explicitly (a) (6) () (3) (b) (c) 3 The expansion of (a+b)" where n is a positive integer may be written with the help of combination notation. (a + by" = d' + (") d"-\b | a"-2b² +... ab- k=0 Solutions 1 (a) 20 160 (b) 1663 200 (c) 220 (d) 455 (e) 455 2 (a) 1 n(n- 1) (c) (b) п 3 (a) at+4a b+ 6a²b? + 4ab³ + b4 (b) 1+6x+15x² + 20x+ 15x + 6x + x*
2 Write out explicitly (a) (6) () (3) (b) (c) 3 The expansion of (a+b)" where n is a positive integer may be written with the help of combination notation. (a + by" = d' + (") d"-\b | a"-2b² +... ab- k=0 Solutions 1 (a) 20 160 (b) 1663 200 (c) 220 (d) 455 (e) 455 2 (a) 1 n(n- 1) (c) (b) п 3 (a) at+4a b+ 6a²b? + 4ab³ + b4 (b) 1+6x+15x² + 20x+ 15x + 6x + x*
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:EXERCISES 29.9
Expand
(a) (a+ b) (b) (1+x)6 (c) (p +q)$
Primary and secondary routes connecting two
computers need to be chosen. Two primary routes are
needed from eight which are suitable and three
secondary routes must be chosen from four available.
In how many ways can the routes be chosen?
Write out explicitly
(3)
(3)
(a)
(b)
(c)
A combination lock can be opened by dialling three
correct letters followed by three correct digits. How
many different possibilities are there for arranging the
letters and digits? Is this more secure than a lock
which has seven digits? Is the word 'combination'
being used correctly?
3 The expansion of (a+b)" where n is a positive integer
may be written with the help of combination notation.
(a + b)" = d' +
(") a"-22+.
A nuclear power station is to be built on one of 20
possible sites. A team of engineers is commissioned to
n-
examine the sites and rank the three most favourable
in order. In how many ways can this be done?
k=0
Solutions
1 (a) 20 160
(b) 1 663 200
(c) 220
(c) p+5p*q+10pq? + 10p²q +5pq* +q°
(d) 455
(e) 455
4 112
2 (a) 1
(b) п
n(n - 1)
(c)
17576 000. Yes, it is more secure. Combination is not
being used correctly: permutation lock would be
3 (a) at + 4a b+ 6a b? + 4ab3 +b4
better.
(b) 1+ 6x + 15x² + 20x + 15x + 6x + x
6840
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman