11) use the following definition of permutation below: List A is a permutation of list B if any of the following are true: • list A and list B are both null, otherwise a.head-b.head, and a tail is a permutation of b.tail a.head/b.head, and there exists a list C such that a.tail is a permutation of b.head:c, and b.tail is a permutation of a head:c a) Use induction to prove that any finite list is a permutation of itself-in other words, that the permutation relation is reflexive. b) Using the recursive definition of permutation above, use induction to prove that if list a is a permutation of list b, then list b is a permutation of list a-in other words, that the permutation relation is symmetric.

11) use the following definition of permutation below: List A is a permutation of list B if any of the following are true: • list A and list B are both null, otherwise a.head-b.head, and a tail is a permutation of b.tail a.head/b.head, and there exists a list C such that a.tail is a permutation of b.head:c, and b.tail is a permutation of a head:c a) Use induction to prove that any finite list is a permutation of itself-in other words, that the permutation relation is reflexive. b) Using the recursive definition of permutation above, use induction to prove that if list a is a permutation of list b, then list b is a permutation of list a-in other words, that the permutation relation is symmetric.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter17: Linked Lists

Section: Chapter Questions

Problem 5SA

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