In honor of Elvis' birthday this week, the problem of the week is a tribute to his song, Whole Lotta Shakin' Goin' On.
Elvis and Priscilla are married. They agree to go out to dinner with four other married couples. So, there are five couples, or ten people, altogether.
They arrive at the restaurant, and, because there are some people who don't know other people, there are some handshakes that take place, and introductions. Anyone who doesn't know somebody will shake hands with that person. People will not shake hands with anyone they already know, and, of course, you don't shake hands with your own spouse.At the end of the dinner, Elvis asks all the people there, including his own wife, how many hands each of them shook.
He gets the following answers: 0,1,2,3,4,5,6,7, and 8.There are 9 other people there, and they give him 9 different answers.
Here's the question: How many hands did Elvis' wife Priscilla shake?Now it may seem that you don't have enough information to solve this problem. But you do.
Solution to the Problem:
Priscilla shook hands with four people.
Click here for an explanation.
Correctly solved by:
| 1. James Alarie | University of Michigan--Flint Flint, Michigan |
| 2. Jeffrey Gaither | University of Virginia Charlottesville, Virginia |
| 3. Arin Smith | University of Virginia Charlottesville, Virginia |
| 4. David and Judy Dixon | Bennettsville, South Carolina |
| 5. Stephen O'Hara | Winchester, Virginia |
| 6. Nathan Stoddard | ---------- |
| 7. Keith Mealy | Cincinnati, Ohio |
| 8. Bob Bardsley | Phoenixville, Pennsylvania |
| 9. TJ Yarbrough | Mountain View, Wyoming |
| 10. Andrew Tucker | Mountain View, Wyoming |
| 11. Paden Atkins | Mountain View, Wyoming |
| 12. Mary Bailey Wickham | Columbus, Georgia |
| 13. Mary Frances Flowers | ---------- |
| 14. Blake Hudson | Columbus, Georgia |
| 15. Carter Galbraith | Columbus, Georgia |
| 16. Russell Beaty | Columbus, Georgia |
| 17. Chance Tillotson | ---------- |
| 18. Karl Jaeger | ---------- |