#ATTENDANCE QUIZ FOR LECTURE 3 of Dr. Z.'s Math454(02) Rutgers University

# Please Edit this .txt page with Answers

#Email  ShaloshBEkhad@gmail.com 
#Subject: p3
#with an attachment called
#p3FirstLast.txt
#(e.g. p3DoronZeilberger.txt)

#Right after finishing watching the lecture but no later than Sept. 14, 2020, 8:00pm
#from website: (rename this file p3FirstLast.txt, and add the answers, and email to ShaloshBEkhad@gmail.com by Sept. 15, 8:00pm)


Q1. THE FIRST ATTENDANCE QUESTION WAS:  What is a derangement?


A1. MY ANSWER TO THE FIRST ATTENDANCE QUESTION IS:  From Wikipedia, "In combinatorial mathematics, a derangement is a permutation
of the elements of a set, such that no element appears in its original position. In other words, a derangement is a permutation 
that has no fixed points." 




Q2. THE  SECOND ATTENDANCE QUESTION WAS: Give two examples of WtoS and StoW.


A2. MY ANSWER TO THE  SECOND ATTENDANCE QUESTION IS:  
# WtoS([0,1,1,0])  gives  {2,3}
# WtoS([1, 0, 0, 0, 1])  gives  {1,5}
# StoW({1, 2, 3}, 5)  gives  [1, 1, 1, 0, 0]
# StoW({1, 4, 6}, 7})  gives  [1, 0, 0, 1, 0, 1, 0]