#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 #ATTENDANCE Q. #1 for LECTURE 6 #WHO WAS GIAN-CARLO ROTA #ANSWER to Q. #1: He was a professor at MIT, and a very bold mathematician (one of the greatest mathematicians in the world). # He tried to recruit Dr. Z to become an MIT professor, although something happened to him during this time # and he sadly passed away. Gian-Carlo Rota did a lot of work in combinatorics, functional analysis, # probability and phenomenology (last info. from Wikipedia). #ATTENDANCE Q. #2 for LECTURE 6 #USE THE INTERNET TO FIND THE QUOTE OF ROTA ABOUT HOW USEFUL PIE EXISTS #ANSWER to Q. #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." (from Wikipedia, "Inclusion-Exclusion principle") #ATTENDANCE Q. #3 for LECTURE 6 #WHAT DOES RECONTRES MEAN IN FRENCH? WHO MADE THE PROBLEM UP? #ANSWER to Q. #3: Recontres in French means "met" in English # The problem was made by Pierre Rémond de Montmort #ATTENDANCE Q. #4 for LECTURE 6 #WHAT IS THE OEIS A NUMBER OF THIS SEQUENCE? #ANSWER to Q. #4: A000166 # "Subfactorial or rencontres numbers, or derangements: number of permutations of n elements with no fixed points."