Let f be a total or partial function f:S -> T where S = {d,i,s,c,r,e,t} and T = {1,2,3,4,5,6,7} How many partial functions f:S -> T are there if f(d) and f(I) are not even? How many partial functions are if f(d) exists in {2,3,4,5} and f(I) is even? How many injective functions f: S -> T are there if f(d), f(I), and f(s) are all elements of {1,3,4}?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Let f be a total or partial function f:S -> T where S = {d,i,s,c,r,e,t} and T = {1,2,3,4,5,6,7}

  1. How many partial functions f:S -> T are there if f(d) and f(I) are not even?
  2. How many partial functions are if f(d) exists in {2,3,4,5} and f(I) is even?
  3. How many injective functions f: S -> T are there if f(d), f(I), and f(s) are all elements of {1,3,4}?
Expert Solution
Step 1

Advanced Math homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,