Ten kids line for recess. The names of the kids are: up {Alex, Bobby, Cathy, Dave, Emy, Frank, George, Homa, Ian, Jim}. Let S be the set of all possible ways to line up the kids. For example, one order might be: (Frank, George, Homa, Jim, Alex, Dave, Cathy, Emy, lan, Bobby) The names are listed in order from left to right, so Frank is at the front of the line and Bobby is at the end of the line. Let T be the set of all possible ways to line up the kids in which George is ahead of Dave in the line. Note that George does not have to be immediately ahead of Dave. For example, the ordering shown above is an element in T. Now define a function f whose domain is S and whose target is T. Let r be an element of S, so r is one possible way to order the kids. If George is ahead of Dave in the ordering r, then f(r) = r. If Dave is ahead of George in r, then f(r) is the ordering that is the same as r, except that Dave and George have swapped places. (a) What is the output of f on the following input? (Frank, George, Homa, Jim, Alex, Dave, Cathy, Emy, lan, Bobby) (b) What is the output of f on the following input? (Emy, Ian, Dave, Homa, Jim, Alex, Bobby, Frank, George, Cathy)
Ten kids line for recess. The names of the kids are: up {Alex, Bobby, Cathy, Dave, Emy, Frank, George, Homa, Ian, Jim}. Let S be the set of all possible ways to line up the kids. For example, one order might be: (Frank, George, Homa, Jim, Alex, Dave, Cathy, Emy, lan, Bobby) The names are listed in order from left to right, so Frank is at the front of the line and Bobby is at the end of the line. Let T be the set of all possible ways to line up the kids in which George is ahead of Dave in the line. Note that George does not have to be immediately ahead of Dave. For example, the ordering shown above is an element in T. Now define a function f whose domain is S and whose target is T. Let r be an element of S, so r is one possible way to order the kids. If George is ahead of Dave in the ordering r, then f(r) = r. If Dave is ahead of George in r, then f(r) is the ordering that is the same as r, except that Dave and George have swapped places. (a) What is the output of f on the following input? (Frank, George, Homa, Jim, Alex, Dave, Cathy, Emy, lan, Bobby) (b) What is the output of f on the following input? (Emy, Ian, Dave, Homa, Jim, Alex, Bobby, Frank, George, Cathy)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Discrete Mathematics
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,