#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


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

# A1. MY ANSWER TO THE FIRST ATTENDANCE QUESTION IS:

# Based on the Wikipedia article on combinatoric deragnement, "a derangement is a permutation 
# of the elements of a set, such that no element appeaars in its original position. 
# In other words, a derangement is a permutation that has no fixed points"
# FOR EXAMPLE,
# When Permuting the set {A, B, C, D}, out of the 4!( or 24) possibilites, derangements are the 
# following:
# DABC, BADC, CADB, BCDA, BDAC, CDAB, DCAB, CDBA, DCBA



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

# A2. MY ANSWER TO THE  SECOND ATTENDANCE QUESTION IS:
# WtoS([1,0,1,1,1]) = {1,3,4,5}
# WtoS([0,0,1,0,1,0,0,0,0,1]) = {3,5,10}
# StoW({1,3,4,},3) = FAIL
# StoW({1,2},4) = [1,1,1,0]