#ATTENDANCE QUIZ FOR LECTURE 6 of Dr. Z.'s Math454(02) Rutgers University

# Please Edit this .txt page with Answers

#Email  ShaloshBEkhad@gmail.com 
#Subject: p6
#with an attachment called
#p6FirstLast.txt
#(e.g. p6DoronZeilberger.txt)

#Right after finishing watching the lecture but no later than Sept. 24, 2020, 8:00pm


#THE NUMBER OF ATTENDANCE QUESTIONS WERE: 4

#PLEASE LIST ALL THE QUESTIONS FOLLOWED, AFTER EACH BY THE ANSWER

#1) Who was Gian-Carlo Rota?
#Dr. Rota was a mathematician and philosopher at MIT who worked in combinatorics, functional 
#analysis, probability theory, and phenomenology. If he had to be remembered for one thing, he said 
#he wanted to remembered for his combinatorial idea of "correspondence between combinatorial 
#problems and problems of the location of the zeroes of polynomials". (According to wikipedia)

#2) Use the internet to find the quote of Rota about how useful PIE exists.
#"One of the most useful principles of enumeration in discrete probability and combinatorial theory 
#is the celebrated principle of inclusion–exclusion. When skillfully applied, this principle has 
#yielded the solution to many a combinatorial problem."
#This quote was found on the wikipedia page of inclusion-exclusion principle, referencing the paper
#"On the foundations of combinatorial theory I. Theory of Möbius functions" by Dr. Rota

#3) Problem Des Recontres: What does recontres mean in French? Who made the problem up?
#Recontres means coincidence in French (Problem of coincidences). 
# According to this link, 
# https://www.link.cs.cmu.edu/15859-s11/notes/Takacs_the_problem_of_coincidences.pdf
# it was first proposed in 1708 by Pierre Remond de Montmort in his book.

#4) What is the OEIS A number of this sequence? (0,1,2,9,44,265,1854,14833,133496,1334961)
#A000166