- 06 Feb '09 17:21In 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?
- 06 Feb '09 18:17

Three?*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?** - 07 Feb '09 08:11A 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? - 07 Feb '09 09:06

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*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? - 07 Feb '09 09:41

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.*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** - 07 Feb '09 10:02

Ah well that was clever of you.*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.**

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. - 07 Feb '09 10:23

One box only, and 1 dozen identical pairs of shoes, all of them in the same box.*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.

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?