Let k be a positive integer. How many distinct functions are of the form g : [1..k] → [1..2k] such that for all y in the domain we have either g(y) < y or g(y) 2 2y?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 23E: Let a and b be constant integers with a0, and let the mapping f:ZZ be defined by f(x)=ax+b. Prove...
icon
Related questions
Question

Correct and detailed answer will be Upvoted else downvoted. Thank you!

Let k be a positive integer. How many
functions are of the form g : [1..k] → [1..2k] such
that for all y in the domain we have either g(y) < y
or g(y) > 2y?
Justify your answer and put it in closed form.
distinct
Transcribed Image Text:Let k be a positive integer. How many functions are of the form g : [1..k] → [1..2k] such that for all y in the domain we have either g(y) < y or g(y) > 2y? Justify your answer and put it in closed form. distinct
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 17 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage