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Five married couples shake hands. Couples don'st shake their partner's hands or people they know. John asks the group how many hands each person shook and they answer 0,1,2,3,4,5,6,7, and 8. How many hands did his wife shake? And how many hands did John shake?

2006-06-26 13:44:55 · 14 answers · asked by Dr. A, Luc, you 2 in Entertainment & Music Jokes & Riddles

Clue
Try to mach who is married to whom.
example: (which is not right) the one who shook 3 hands is married to the one who shook 2 hands.

The answers that John got are from the other 9 people, John's wife being one of them.

2006-06-26 13:48:45 · update #1

Another clue

You can not shake hands with yourself.

2006-06-26 13:51:46 · update #2

John did not give his answer at the party

2006-06-26 13:58:38 · update #3

Good Job, Betty & James You will get the 10 points when I can give them out

2006-06-26 15:28:16 · update #4

Here is a List of who everyone shook hands with.
0: none
1: 8
2: 8,7
3: 8,7,6
4: 8,7,6, 5
5: 8,7,6, 4, John
6: 8,7,6,4,3, John
7: 8,7,6,4,3,2, John
8: 7,6,5,4,3,2,1, John
John: 5,6,7,8

John shook the same people his wife shook hands with.

2006-06-26 15:52:57 · update #5

Sorry
got a little fast

6:8,7,5,4,3, John
7: 8,6,5,4,3,2, John

2006-06-26 16:00:21 · update #6

14 answers

Both John ad his wife shake hands with 4 people.

I'll try the briefest explaination I can.
There are nine answers 0-8 plus Johns which is unknown for a total of 10.
Take any couple for an example. Which couple won't matter because we will figure the total for one partner which will give us the answer for the other partner. Once we have accounted for each number of handshakes, the missing number of handshakes will be the unaccounted for partner - John, and of course the one remaining known value will be his wife.

Remember every person will surely not shake their own hand or their spouses.
One person shakes no hands. He/She knows everyone. That means everyone knows him/her and will also not shake his/her hand. You now have 4 couples who will not shake their own, their partners, or his/her hand. That is 8 people who will shake at most, 7 hands. The only person who could possibly shake 8 hands will be that persons spouse. So couple one shakes 0 and 8 hands.
pick any of the remaining 4 couples. Any single person of the remaining 8 must shake the hands of at least one person. (because we have 1-7 remaining) If he/she is unknown to one person, then that means he/she is known to 6 of the seven remaining persons. One of which is his/her spouse. So there are 6 people (the 3 other couples who know and won't shake hands with themselves, their spouse, this individual or the first person who shook hands with no-one) who will not shake hands with more than 6 people. That makes this persons spouse the one that shakes hands with 7 people. The spouse knows the first person, themselves and the spouse.
Anyways the other two couples work out to shaking 2 and 6 hands, and shaking 3 and 5 hands. The remaining person shook 4 hands (the last number) and is coupleless/without a spouse so that person must be Johns wife and she and John both shook 4 hands.

By couple: 0/8, 1/7, 2/6, 3/5, 4/4. We know 0,1,2,3,4,5,6,7,8 were given as answers at the party so the only single (non couple) is 4.

2006-06-26 14:55:44 · answer #1 · answered by Betty&James 4 · 2 1

johns wife shook no ones hands 0 because she knew everyone and john shook 8 hands every ones except his and his wife's

2006-06-26 13:54:02 · answer #2 · answered by jcturtle001 4 · 0 0

is it 6

2006-06-26 13:56:26 · answer #3 · answered by nikky_c2000 3 · 0 0

he shook 0 she shook 3

2006-06-26 13:53:13 · answer #4 · answered by sierra 1 · 0 0

he shook 7, she shook 8

2006-06-26 13:50:41 · answer #5 · answered by Anonymous · 0 0

Wife - 0 (she knows no-one)
John - 8 (everyone except himself and his wife)

2006-06-26 13:48:49 · answer #6 · answered by Beccygirl 3 · 0 0

Frist

2006-06-26 14:22:44 · answer #7 · answered by Starlight 5 · 0 0

We can't answer the question unless we know if each husband knows someone other than his own wife, & vice versa.

2006-06-26 13:47:51 · answer #8 · answered by ☼Shiloh☼ 2 · 0 0

he shook zero,
she shook eight

2006-06-26 14:00:42 · answer #9 · answered by Anonymous · 0 0

ok this is confusing at the beginning and im a brunette-blonde so im not gonna bother :)

2006-06-26 14:22:23 · answer #10 · answered by . 4 · 0 0

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