Another Handshake Problem
March 14, 2016 at 4:30 pm
(This post was last modified: March 15, 2016 at 12:17 am by Whateverist.)
The Delepines are entertaining. Mr and Mrs Anderson, Mr and Mrs Burke as well as Mr and Mrs Carvalho will be joining them for dinner. (Apologies in advance for the hetero-centric nature of the problem.)
As it happens Mr Delepine is in the kitchen cooking when everyone arrives. So only Mrs Delepine goes out to greet them alone. Greetings are exchanged and a good deal of hand shaking takes place but not in any thorough manner. When Mr Delepine calls them in to eat he asks how many handshakes took place outside. No one is quite sure so he asked some questions.
Everyone is quite sure they did not shake their own hand (because that would just be silly) or that of their own mate, and no one shook hands more than once with the same person. Each of their guests report shaking hands a different number of times, except Mrs Delepine who can't remember how many times she shook hands. She very well might have shaken hands the same number of times as one the guests but no one remembers how many hands she shook.
With how many people did Mrs Delepine shake hands with?
As it happens Mr Delepine is in the kitchen cooking when everyone arrives. So only Mrs Delepine goes out to greet them alone. Greetings are exchanged and a good deal of hand shaking takes place but not in any thorough manner. When Mr Delepine calls them in to eat he asks how many handshakes took place outside. No one is quite sure so he asked some questions.
Everyone is quite sure they did not shake their own hand (because that would just be silly) or that of their own mate, and no one shook hands more than once with the same person. Each of their guests report shaking hands a different number of times, except Mrs Delepine who can't remember how many times she shook hands. She very well might have shaken hands the same number of times as one the guests but no one remembers how many hands she shook.
With how many people did Mrs Delepine shake hands with?