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MikeLamb

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Registered: 23rd Sep 03
Location: Crowthorne Drives: Veccy SRI
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18th Jan 06 at 07:49

50 people are in a room, they all shake hands, how many times are hands shaken???

Adam-D

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Registered: 11th May 02
Location: Cheshire
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18th Jan 06 at 07:55

2500

CCA

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Registered: 6th Dec 04
Location: Somewhere Drives: Not a bloody Vauxhall!
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18th Jan 06 at 07:55

1225?

Jason Iles

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Registered: 19th Jun 01
Location: Bristol
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18th Jan 06 at 07:56

quote:
Originally posted by Adam-D
2500

Shane

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Registered: 10th Jan 04
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18th Jan 06 at 07:57

none they have shaken there own hands

Jason Iles

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Registered: 19th Jun 01
Location: Bristol
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18th Jan 06 at 07:57

quote:
Originally posted by Jason Iles

quote:
Originally posted by Adam-D
2500

Bollox no it's not it's 2499 as they can't shake thier own hand?

CCA

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Registered: 6th Dec 04
Location: Somewhere Drives: Not a bloody Vauxhall!
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18th Jan 06 at 07:58

jason it cant be 2499 as the other 49 people would still have to shake their own hand to get that number

Matt H

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Registered: 11th Sep 01
Location: South Yorkshire
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18th Jan 06 at 08:02

Do any of them have parkinsons?

Adam-D

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Registered: 11th May 02
Location: Cheshire
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18th Jan 06 at 08:03

in that case 2450

Pablo

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Registered: 3rd Feb 03
Location: Milton Keynes
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18th Jan 06 at 08:04

2450

Jason Iles

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Registered: 19th Jun 01
Location: Bristol
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18th Jan 06 at 08:39

quote:
Originally posted by CCA
jason it cant be 2499 as the other 49 people would still have to shake their own hand to get that number

Dag nab it

Half Pint

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Registered: 25th Mar 02
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18th Jan 06 at 08:51

hands are shaken once

Kathryn W

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Registered: 12th Oct 03
Location: Widnes, Cheshire
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18th Jan 06 at 09:25

yup i'd say 2450

Tim

Site Administrator

Registered: 21st Apr 00
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18th Jan 06 at 09:26

quote:
Originally posted by Adam-D
in that case 2450

But that would include repeated handshakes between the pairs. It's a maths combitionations question... 50-C-2 I think (and I don't have pascal's triangle to hand).

CCA

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Registered: 6th Dec 04
Location: Somewhere Drives: Not a bloody Vauxhall!
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18th Jan 06 at 09:28

you need to use the equation n(n-1)/2 hence my answer

Rus

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Registered: 24th Jan 05
Location: SE London, Kent
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18th Jan 06 at 09:33

quote:
Originally posted by CCA
you need to use the equation n(n-1)/2 hence my answer

why the n-1? just out of interest

Ojc

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Registered: 14th Nov 00
Location: Reading: Drives : Clio 197
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18th Jan 06 at 09:34

MATHS!OH MY GOD WTF ARE YOU TALKING ABOUT!

CCA

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Registered: 6th Dec 04
Location: Somewhere Drives: Not a bloody Vauxhall!
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18th Jan 06 at 09:39

because if n is 50 then those 50 people cant shake 50 peoples hands as they would be shaking their own hand as well so its 50-1 the sum then becomes 50*49 divided by 2 giving the answer of 1225

Jamie Walby

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Registered: 15th Nov 04
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18th Jan 06 at 09:41

What if there are people in the room with no arms

Jason Iles

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Registered: 19th Jun 01
Location: Bristol
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18th Jan 06 at 09:47

quote:
Originally posted by CCA
because if n is 50 then those 50 people cant shake 50 peoples hands as they would be shaking their own hand as well so its 50-1 the sum then becomes 50*49 divided by 2 giving the answer of 1225

You have no idea how turned on I am by this x x

Ally

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Registered: 2nd Jul 03
Location: Pontypool Drives: a Skoda
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18th Jan 06 at 09:50

quote:
Originally posted by Jamie Walby
What if there are people in the room with no arms

Of just one arm

Answer is once, hands are shaken once

Ally

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Registered: 2nd Jul 03
Location: Pontypool Drives: a Skoda
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18th Jan 06 at 09:51

There are five people in a room and each person shakes every other person's hand exactly one time. How many handshakes will there be?

FIND OUT We are asked to determine the total number of handshakes.
How many people are there? Five.
How many times does each person shake another's hand? Only once.
CHOOSE A STRATEGY Would it be possible to model this situation in some way? Yes, pick five friends and ask them to act out the problem. Should we do anything else? Keep track of the handshakes with a list.
SOLVE IT Get five friends to help with this problem.
Make a list with each person's name at the top of a column.
Have the first person shake everyone's hand. How many handshakes were there? Four.
Repeat this four more times with the rest of the friends. Write down who each person shook hands with. Our table should look something like this:

Rhonda Jagraj Rosario Kiran Margot

Jagraj Rosario Kiran Margot Rhonda
Rosario Kiran Margot Rhonda Jagraj
Kiran Margot Rhonda Jagraj Rosario
Margot Rhonda Jagraj Rosario Kiran

There were a total of twenty handshakes. But notice that each person actually shook everyone else's hand twice. (For example, Rhonda shook Jagraj's hand, and Jagraj shook Rhonda's hand.) Divide the total number of handshakes by two to find out the total number if each person had shaken every other person's hand only once. There were ten handshakes.

Half Pint

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Registered: 25th Mar 02
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18th Jan 06 at 09:55

I got it right