Your crazy uncle has built a panic room in his basement. The panic room can only be accessed by entering a numeric code. The code uses only the digits 0, 1, 2, ..., 6 and is 8 digits long. Because your uncle really is crazy, the numeric code must be monotone, meaning either always non-decreasing or always non-increasing. How many possible codes are there under these conditions? Your Answer: Answer

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Discrete mathematics 

Your crazy uncle has built a panic room in his basement. The panic room can only be
accessed by entering a numeric code. The code uses only the digits 0, 1, 2, ... , 6 and
is 8 digits long. Because your uncle really is crazy, the numeric code must be
monotone, meaning either always non-decreasing or always non-increasing. How
many possible codes are there under these conditions?
Your Answer:
Answer
Hide hint for Question 13
For example, using only the digits 0, 1, 2, 3: a 7-digit non-increasing code might be
3322210, or a 9-digit non-decreasing code might be 001123333. Each example could
be represented by a bar/star chart, where the stars represent using a particular digit
and the bars represent the transitions from one digit to the next. Count the number
of bar/star charts for possible non-increasing and possible non-decreasing codes,
then use the addition principle.
Transcribed Image Text:Your crazy uncle has built a panic room in his basement. The panic room can only be accessed by entering a numeric code. The code uses only the digits 0, 1, 2, ... , 6 and is 8 digits long. Because your uncle really is crazy, the numeric code must be monotone, meaning either always non-decreasing or always non-increasing. How many possible codes are there under these conditions? Your Answer: Answer Hide hint for Question 13 For example, using only the digits 0, 1, 2, 3: a 7-digit non-increasing code might be 3322210, or a 9-digit non-decreasing code might be 001123333. Each example could be represented by a bar/star chart, where the stars represent using a particular digit and the bars represent the transitions from one digit to the next. Count the number of bar/star charts for possible non-increasing and possible non-decreasing codes, then use the addition principle.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman