(e) How many 15-letter words are there which have no repeated letters, and include ZEBRA as a subword? Note that "include... as a subword" means that these letters must occur consecutively and in that order in the 15-letter word.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 3CT: An Internet service provider requires its customer to select a password consisting of four letters...
icon
Related questions
icon
Concept explainers
Question
please send solution
(e) How many 15-letter words are there which have no repeated letters, and include ZEBRA as a subword? Note that
"include .. as a subword" means that these letters must occur consecutively and in that order in the 15-letter word.
Answer:
(f) We will say that a word w1 is a "spread subword" of w2 if the letters of wj occur in the same order but not
necessarily consecutively in w2. For example MATHS is a spread subword of BXMATYHES, and also of
PFMATHSOE. How many 15-letter words are there which have no repeated letters, and include ZEBRA as a spread
subword?
Answer:
(g) Give careful reasons for your answer to (f).
Equation
O Editor
A-A- I BI U S X x
Styles
Font
Size
Words: 0
目
Transcribed Image Text:(e) How many 15-letter words are there which have no repeated letters, and include ZEBRA as a subword? Note that "include .. as a subword" means that these letters must occur consecutively and in that order in the 15-letter word. Answer: (f) We will say that a word w1 is a "spread subword" of w2 if the letters of wj occur in the same order but not necessarily consecutively in w2. For example MATHS is a spread subword of BXMATYHES, and also of PFMATHSOE. How many 15-letter words are there which have no repeated letters, and include ZEBRA as a spread subword? Answer: (g) Give careful reasons for your answer to (f). Equation O Editor A-A- I BI U S X x Styles Font Size Words: 0 目
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Fundamentals of Algebraic Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage