how many socks?

how many socks?

Posers and Puzzles

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p

Joined
27 Dec 05
Moves
143878
06 Feb 09

In my drawer i have ten black socks and ten white socks , i am going out to a party so i need a fresh pair of socks ,as i open the drawer the bulb blows and i can,t see a thing , because i am in a rush to get to the party i stick my hand in and scoop up some socks . what is the minimum amount of socks i can get out to have a matching pair?

Hyperbole Happy

Joined
17 Jul 08
Moves
2019
06 Feb 09

eleven?

A

Joined
02 Mar 06
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17881
06 Feb 09

if you don't care which color, you only need three

Hyperbole Happy

Joined
17 Jul 08
Moves
2019
06 Feb 09

Originally posted by Aetherael
if you don't care which color, you only need three
I'm Polish.

F

Joined
11 Nov 05
Moves
43938
06 Feb 09

Originally posted by phil3000
In my drawer i have ten black socks and ten white socks , i am going out to a party so i need a fresh pair of socks ,as i open the drawer the bulb blows and i can,t see a thing , because i am in a rush to get to the party i stick my hand in and scoop up some socks . what is the minimum amount of socks i can get out to have a matching pair?
Three?

p

Joined
27 Dec 05
Moves
143878
06 Feb 09

Originally posted by Aetherael
if you don't care which color, you only need three
got to be a matching pair!!!

p

Joined
27 Dec 05
Moves
143878
06 Feb 09

Originally posted by FabianFnas
Three?
your correct the answer is THREE, well done

p

Joined
27 Dec 05
Moves
143878
06 Feb 09

Originally posted by phil3000
[b]got to be a matching pair ,but the answer is three!!!!

Hyperbole Happy

Joined
17 Jul 08
Moves
2019
06 Feb 09

I was wrong earlier it's twelve.😳

f
Defend the Universe

127.0.0.1

Joined
18 Dec 03
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16687
06 Feb 09

Originally posted by JerryH
I was wrong earlier it's twelve.😳
That's the minimum to be guaranteed a pair of each.

F

Joined
11 Nov 05
Moves
43938
07 Feb 09

A sisterproblem to the socks problem is the following:

I found a sale where I could buy sneakers really cheap. So I bought a dozen. Same size and same colour: white. I spearated each of them to individual choes an put them in a box.
The next day I wanted to have a pair, but the light was out and it was dark as a coalmine. Anyway i thought that
If I take up x number of shoes (all undistinguashable by hand) how many would I have to take in order to be sure that I got one left and one right one?

M

Joined
06 May 08
Moves
1908
07 Feb 09

Originally posted by FabianFnas
A sisterproblem to the socks problem is the following:

I found a sale where I could buy sneakers really cheap. So I bought a dozen. Same size and same colour: white. I spearated each of them to individual choes an put them in a box.
The next day I wanted to have a pair, but the light was out and it was dark as a coalmine. Anyway i thought that
If I ...[text shortened]... y hand) how many would I have to take in order to be sure that I got one left and one right one?
I suspect you only bought sneakers for right feet due to the shop experiencing an unprecedented spate of bad dancers buying shoes. Therefore, no pair of sneakers for you 🙁

F

Joined
11 Nov 05
Moves
43938
07 Feb 09

Originally posted by Meadows
I suspect you only bought sneakers for right feet due to the shop experiencing an unprecedented spate of bad dancers buying shoes. Therefore, no pair of sneakers for you 🙁
I controlled very carefully that in each pair there were one left and one right shoe. That was not the reason I got them so cheap. However, each pair were all white, and identical to eachother.

M

Joined
06 May 08
Moves
1908
07 Feb 09

Originally posted by FabianFnas
I controlled very carefully that in each pair there were one left and one right shoe. That was not the reason I got them so cheap. However, each pair were all white, and identical to eachother.
Ah well that was clever of you.

Ok (unless I'm missing a cheeky loophole or something foolish on my part), if you take n shoes, n/2 being left shoes and n/2 being right shoes, you need n/2 + 1 to guarantee that you'll have at least one of each.

In your case you bought 12 so I would presume that you need 7 boxes.

F

Joined
11 Nov 05
Moves
43938
07 Feb 09

Originally posted by Meadows
Ah well that was clever of you.

Ok (unless I'm missing a cheeky loophole or something foolish on my part), if you take n shoes, n/2 being left shoes and n/2 being right shoes, you need n/2 + 1 to guarantee that you'll have at least one of each.

In your case you bought 12 so I would presume that you need 7 boxes.
One box only, and 1 dozen identical pairs of shoes, all of them in the same box.
It's dark (as in a coal mine) and I pick up x number of shoes. What is x in order to be sure that I pick up a pair that I can use for my daily promenade?

No loophole and one box only. How many shoes do I need to pick up?