#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 Broadway) (From the corner of min(a,b) st and min(c,d) ave to max(a,b) st and max(c,d) ave? # my ruid is 192002142, so from min(1,9) = 1 st and min(0,2) = 0 ave (1,0) to max(1,9) = 9 st and max(0,2) = 2 ave (9,2) #Find walks from (1,0) to (9,2) only moving in positive direction A1. MY ANSWER TO THE FIRST ATTENDANCE QUESTION IS: 10 choose 2 = 45 walks 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: 9! / (2! * 2! * 3!) = 15120