Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Three married couples arrange a party. They arrive at the party one at a time, the couples not necessarily arriving together. They all, upon arriving, shake the hand of everyone already there, except their own spouse. When everyone has arrived, someone asks all the others how many hands they shook upon arriving, and gets five different answers. How many hands did he himself shake upon arriving?
 2 years ago
 2 years ago
Three married couples arrange a party. They arrive at the party one at a time, the couples not necessarily arriving together. They all, upon arriving, shake the hand of everyone already there, except their own spouse. When everyone has arrived, someone asks all the others how many hands they shook upon arriving, and gets five different answers. How many hands did he himself shake upon arriving?
 2 years ago
 2 years ago

This Question is Closed

experimentXBest ResponseYou've already chosen the best response.0
?? five different answers ??
 2 years ago

FoolForMathBest ResponseYou've already chosen the best response.1
The answer is he shook 2 people's hands.
 2 years ago

Arnab09Best ResponseYou've already chosen the best response.0
@FoolFor, how could u get the answer?
 2 years ago

experimentXBest ResponseYou've already chosen the best response.0
must be six .. because there are 3 couples .. and this seventh person is an outsider
 2 years ago

FoolForMathBest ResponseYou've already chosen the best response.1
This is a very old combinatoric puzzle.
 2 years ago

experimentXBest ResponseYou've already chosen the best response.0
but i there were 3 couples and they shook each other hand .. except of their own spouse ... they they must have shaken hand 4 times ... each of them ...but why 5 different answers would come??
 2 years ago

experimentXBest ResponseYou've already chosen the best response.0
@JoshDavoll if the person was insider .. then answer must be 4
 2 years ago

apoorvkBest ResponseYou've already chosen the best response.0
he asked 5 people means including him, there were 6. that means he was the last to arrive. so, he shook 4. he didnt shake his own hands definitely, and definitely not with his spouse.
 2 years ago

apoorvkBest ResponseYou've already chosen the best response.0
yeah, if he was the insider as you say.
 2 years ago

eigenschmeigenBest ResponseYou've already chosen the best response.4
i have a solution, gimme a sec
 2 years ago

inkyvoydBest ResponseYou've already chosen the best response.0
@FoolForMath is probably correct.
 2 years ago

FoolForMathBest ResponseYou've already chosen the best response.1
http://www.gottfriedville.net/mathprob/miscshakes2.html
 2 years ago

eigenschmeigenBest ResponseYou've already chosen the best response.4
he asked them after all this happened, i think you misunderstand
 2 years ago

eigenschmeigenBest ResponseYou've already chosen the best response.4
number the couples 1 , 2 , 3
 2 years ago

eigenschmeigenBest ResponseYou've already chosen the best response.4
so m1 is male from couple 1 , and f1 is female from couple 1
 2 years ago

experimentXBest ResponseYou've already chosen the best response.0
if he asked without shaking hand .. and the pair couple shook hand 3 times while the unpaired couple shook 4 times
 2 years ago

eigenschmeigenBest ResponseYou've already chosen the best response.4
first to arrive is m1, he shakes 0 peoples hands second is m2 he shakes 1 third is m3 he shakes 2 fourth is f1 she also shakes 2 fifth is f2 she shakes 3 sixth is f3 she shakes 4 the asker is either m3 or f1 , and they get 5 different answers
 2 years ago

JoshDavollBest ResponseYou've already chosen the best response.0
Ah i get it now, thanks for explaining it :)
 2 years ago

experimentXBest ResponseYou've already chosen the best response.0
how many hands ON ARRIVING?? i think i understood the question now.
 2 years ago

eigenschmeigenBest ResponseYou've already chosen the best response.4
of course we haven't checked thats the only solution, but you can change around the numbers to get a solution that looks different but is the same
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.