Marquette University

Department of Mathematics, Statistics and Computer Science

Wim Ruitenburg's Spring 2010 MATH 1300-101 homeworks plus due dates


Unless otherwise stated, all homework must be in handwritten form. Justify your answers.
Due date
 
Project description
12 April
 

This puzzle has three unrelated parts. Show your work.
  • Luke, Stan, and Barry share a room in a cheap motel, to save money. The three intend to equally share in the cost. Luke collects 7 dollars from both Stan and Barry, and adds his own 7 dollars. When Luke goes to the front desk in the main lobby and hands over the 21 dollars, the clerk observes that he is overpaid by 5. So the clerk returns 5 singles to Luke. On his way back to the room, dishonest Luke decides to pocket 2 dollars for himself, but otherwise returns a single dollar to all. So all have paid 6 dollars for a total of 18, while Luke keeps an extra 2 dollars for himself, for a total of 20 dollars. Where is the missing dollar?
  • Click on this link to see the second puzzle.
  • Click on this link to see the third puzzle.
3 March
 

This puzzle has three unrelated parts. Show your work.
  • I write 5 individual letters for 5 people, and I write their 5 addresses on 5 envelopes. If I put the 5 letters randomly in the 5 envelopes, what is the chance that exactly 4 of the letters are in the right envelopes?
  • Click on this link to see this puzzle.
  • Five couples meet at a dance competition for pairs. Jane and John are one of the couples. All shake hands with some of the members of the other couples. No-one shakes hands twice with the same person. John asks all other people including Jane with how many people they shook hands. Surprisingly they all gave a different answer. Question: With how many people did Jane shake hands?

Last updated: March 2010
Comments and suggestions: Email   wimr@mscs.mu.edu