#ATTENDANCE QUIZ FOR LECTURE 2 of Dr. Z.'s Math454(02) Rutgers University

# Please Edit this .txt page with Answers

#Email  ShaloshBEkhad@gmail.com 
#Subject: p2
#with an attachment called
#p2FirstLast.txt
#(e.g. p2DoronZeilberger.txt)

#Right after finishing watching the Second lecture but no later than Friday, Sept. 11, 2020, 8:00pm




Q1. THE FIRST ATTENDANCE QUESTION WAS:
#Let a:=FIRST DIGIT of your RUID
#Let b:=SECOND DIGIT of your RUID
#Let c:=FIFTH DIGIT of your RUID
#Let d:=SIXTH DIGIT of your RUID
#HOW MANY WALKS IN MANHATTAN ARE THERE (NOT USING BDWAY)
#From CORNER of min(a,b) St. and min(c,d) AVE
#to CORNER of max(a,b) St. and max(c,d) Ave.
#Walking in positive direaction

A1. MY ANSWER TO THE FIRST ATTENDANCE QUESTION IS:

#Given my RUID as 197005262, a:=1; b:=9; c:=0; d:=5
#Using the parameters, questions is now: from corner of 1 st. and 0 ave to corner of 9 st. and 5 ave.
#This statement is equivalent to number of walks from [0,0] to [9-1,5-0]
So, F(8,5) = 1287


Q2. THE  SECOND ATTENDANCE QUESTION WAS:
#Consider your RUID as a word of Length 9 in the 10-letter "alphabet" {0,1,2,3, ...,9}
#How many ways to reaarange your RUID?

A2. MY ANSWER TO THE  SECOND ATTENDANCE QUESTION IS:
#Given my RUID as 197005262;
#number of 1=1; number of 2=2;number of 5=1;number of 6=1;number of 7=1;number of 9=1; number of 0=2;
F:=[1,2,1,1,1,1,2]
NuW(F):= 90720