Mathematics Problem Of the Week

Spring 2008

POW #4

Valentine’s Day Dance Dates

The Canton Singles Club had a special Valentine’s Day Dance Night. Each person was matched at random with a different dance partner every hour and every hour the style of ballroom dancing changed. By midnight, the event was deemed a total success and each person had danced with five different people. As it happens, five of those random couples actually planned a second date with each other. Given facts below, determine the full names of each couple planning a second date and the style of dance that they danced to when they were partnered with each other.

1. Olivia didn't dance with Mr. Coon but she found her date during the rumba. Mr. Heart danced with his date during the tango.

2. George Black didn't dance with Brenda. Mr. Good didn't dance with Ms. Lambert.

3. Percy, who didn't dance with Evelyn, didn't meet his date during the tango. Ms. Smart didn't dance during the waltz.

4. Mary Trent didn't find her date during the cha-cha.

5. Lauren danced with Karl. Ms. Lambert found her date during the foxtrot but her date wasn't George. Frank didn't dance with Evelyn or Brenda.

6. The five couples are represented by: Ms. Wish and her partner Mr. Medera, the couple who met during the waltz, Brenda and her partner, Norman Coon and his partner, and Ms. Park and her partner.

Due Friday, February 22^nd at Noon.

Solutions should be submitted to Dr. R. Lock's mailbox in the Math/CS/Stat office or sent via e-mail to rlock@stlawu.edu.