#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

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Attendance Question 1:
Who was Gian-Carlo Rota?

Answer: Gian-Carlo Rota was an Italian-American mathematician and philosopher who spent most of his career at MIT working on combinatorics, functional analysis, probability theory, and phenomenology. He published "Foundations of Combinatorics" and founded the Advances in Mathematics journal.

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Attendance Question 2:
Use the Internet to find the quote of Rota about how useful PIE exists

Answer: "One of the most useful principles of enumeration in discrete probability and combinatorial thoery is the celebrate principle of inclusion-exclusion [...]. When skillfully applied, this principle has yielded the solution to many a combinatorial problem. Its mathematical foundations were thoroughly investigated not long ago in a monograph by Frechet, and it might at first appear that, after such exhaustive work, little else could be said on the subject."

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Attendance Question 3:
What does Recontres mean in French? Who made the problem up?

Answer: Recontres means met or meeting/encounter. The problem of encounters was first posed by Pierre Remond de Montmort in 1708.

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

Answer: A166.