#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

# Question 1: Who was Gian-Carlo Rota? 

# Answer 1: He was an Italian-American mathematician and philosopher. He spent
# most of his time at MIT and worked in combinatorics, functional analysis,
# probability theory, and phenomenology. 

# Question 2: Use the internet to find the quote of Rota about how useful PIE exists. 

# Answer 2: 

#"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."

# Question 3: What does Recontres mean in French? Who made the Probleme des Recontres up?

# Answer 3: It means encounters. Problemes des recontres means "the problem of encounters" and
# is even considered "the hat problem". Pierre Rémond de Montmort first posed the question. 

# Question 4: What is the OEIS A Number of [0,1,2,9,44,265,1854,14833,133496,1334961]?

# Answer 4: A166: Subfactorial or rencontres numbers, or derangements: number of permutations of n elements with no fixed points.