{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Quiz 2 sol

# Quiz 2 sol - 2602Q2Ans;nb 10f2 Math 2602 Math 2602 Jan 31...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 2602Q2Ans;nb 10f2 Math 2602 Math 2602 Jan 31 Open Book and Notes. You have 50 minutes. Carefully explain your proceedures and answers 3111 answers should be given exactly {no decimals} if possible . Problem 1 (10 points) a) George Mallory needs to know how many ways are there to sit n people and three empty chairs arround a table of n+3 chairs, such that only relative position -—(who is to the left and right hand neighbor of each person and empty...) counts. Answer {n+3}! {n+3} 3! {n+2}! 3: Problem 2 (10 Points) Edmond Hillary would like to know how many ways there are to get (out of a 13 card hand) two threes of a kind and 2 pairs. In symbols: XXXYY-YZZW’WArBC ' Answer [1231 [1211 [31313136143 Problem 3 (10 points) Lopsang Jangbu Sherpa would like you to count the number of ways to put 10 indistiguishable balls into 5 urns, such that urn #1 does not contain more than three balls. Ans 13 If urn one contains No balls then the number of ways is [3 ) (10 balls into 4 urns) 12 If urn 1 contains 1 ball, the number of ways is [3 J (9 balls into 4 urns) 11 If urn 1 contains 2 balls,_the number of ways is [3 ] (8 balls into 4 urns) 10 If um 1 contains 3 balls, the number of ways is [3) (7 balls into 4 urns) http://www.math.gatech.edu/~morley/2602/quizes/spring02/Q2/index.htrnl 09/03/2003 11:45 PM 2602Q2Ans.nb http://wwwmath.gatech.edul~morleyl2602/quizes/sp1ing02/Q2/index.html So the ansWer is [133] + [132] + [131] + [130] Converted by Mathematica February 4, 2002 2 of 2 09/03/2003 11:45 PM I ...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern