#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 1 #Let b:= SECOND DIGIT of your RUID 7 #Let c:= FIFTH DIGIT of your RUID 0 #Let d:= SIXTH DIGIT of your RUID 3 HOW MANY WALKS IN MANHATTAN ARE THERE (NOT USING BDWAY) #From CORNER of min(a,b) St an min(c,d) Ave #to " max(a,b) St. and max(c,d) Ave #Walking in the positive direction F(m,n) = (m+n)! /(m!*n!) A1. MY ANSWER TO THE FIRST ATTENDANCE QUESTION IS: South: S East: E how many ways can we rearrange SEEEE (must walk one step south and four steps east) 5! / (4!) = 5 so there are 5 ways Q2. THE SECOND ATTENDANCE QUESTION WAS: #CONSIDER YOUR RUID AS A WORD OF LENGTH 9 in #THE 10-letter "ALPHABET' {0,1,2,...,9} #HOW MANY WAYS TO REARRANGE YOUR RUID A2. MY ANSWER TO THE SECOND ATTENDANCE QUESTION IS: RUID: 178003829 9!/(2!2!)=90720