#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:
HOW MANY WALKS IN MANHATTAN ARE THERE (NOT USING BDWAY) from corner of min (a,b) St and min(c,d) Ave
to  max(a,b) St and max(c,d) Ave? 
Walking in the positive direction. 


A1. MY ANSWER TO THE FIRST ATTENDANCE QUESTION IS:
My RUID: 187006241
a=1
b=8
c=0
d=6

TO find : Walks from corner of 1 St and 0th Ave to 8 St and 6th Ave.
Since we can only take steps in the positive direction, consider the point (1,0) to be the 
Origin. Then we have to find the number of walks from (0,0) to (7,6).
Using NuWalks(7,6) we get: 1716





Q2. THE  SECOND ATTENDANCE QUESTION WAS:
Consider your RUID as a word of length 9 in the "alphabet" (10-letter) {0,1,2,3,4,5,6,7,8,9}. How many
ways to rearrange your RUID? 



A2. MY ANSWER TO THE  SECOND ATTENDANCE QUESTION IS:
My RUID is : 187006241

Can be re-written as : 001124687
S:=[2,2,1,1,1,1,1]
This is equivalent to walking to the point 2,2,1,1,1,1,1 in a 7-d Manhattan Lattice.
OR (9!/4) 
NuW(S);
90720