#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:= Sith digit of your RUID
How many walks in Manhattan are there from corner of min(a, b) and min (a, b) ave to max(a, b) st and max (c, d)
A1. MY ANSWER TO THE FIRST ATTENDANCE QUESTION IS:

RUID: 184008698
a = 1
b= 8
c =0
d=8

from street and ave (1,0) to (8,8)
# of ways = (m+n)!/m!n!

= 15!/7!8!
6435


Q2. THE  SECOND ATTENDANCE QUESTION WAS: Consider your RUID is a word of length 9 in the 10 letter alphabet 

how many ways to rearrange the RUID

RUID: 184008698

Sorted using maple: 0, 0, 1, 4, 6, 8, 8, 8, 9

Using the formula for number of ways to rearrange the above sequence

n = 9!/(2!1!1!1!3!1!)

n = 30240