Posted by **Jeff** on Saturday, December 1, 2007 at 1:59pm.

I'm tutoring someone 1st year arts math and they have been given this difficult question that I cannot mind boggel. It goes as follows: There are 6 couples at a party. Each can shake another persons hand once, but they can never shake their spouses hand. At the end of the night when a husband asks his wife and all the other people how many hands they shook he gets eleven different answers. Then the question asks how many hands did the husband's wife shake? I'm very confused by it. If anyone could help that would be great.

- Math -
**PsyDAG**, Saturday, December 1, 2007 at 4:25pm
With 6 couples, there are 12 people. Considering that you don't want to shake hands with yourself or your spouse, you — or your spouse — could shake hands with 10 other people. The word, "could," implies potential, not actual activity. It could be that many of the others did not shake hands with all the potential persons.

Thus someone shakes 0 hands, someone 1, someone 2,...to someone 10, giving 11 different answers. However, I don't know how to determine which one is the wife.

I hope this helps. Thanks for asking.

## Answer This Question

## Related Questions

- Math(Please Help!) - An undisclosed number of friends gather for dinner. Each ...
- Math1 - An undisclosed number of friends gather for dinner. Each person shakes ...
- Math - If there are forty new students in a class and the students have to shake...
- math - There are n people in a room. Each person will shake hands with every ...
- medicine - What is a quality-adjusted life year? How can it be used to compare ...
- math - If 8 people went to a party and each person shook hands at least one time...
- Spanish Dos Questions - 1. Which of the following is a common greeting in the ...
- math - 100 people set up a phone call system so that the initial contact person ...
- money conversion problem - I have a currency conversion problem that I have ...
- math - if tommy goes to the store one day and get a cheeseburger for $5.00 and ...

More Related Questions