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Mathematics 14 Online
OpenStudy (anonymous):

You are about to leave for holiday, but you forgot socks! You race back to your room, but all the lights are off, so you can't see the color of the socks. Never mind, because you remember that in your drawer there are ten pairs of white socks, ten pairs of black socks, and eleven pairs of blue socks, but they are all mixed up. How many of your socks do you need to take before you can be sure to have at last one matching pair?

OpenStudy (anonymous):

4

OpenStudy (anonymous):

i like this problem too

OpenStudy (anonymous):

Follow up question: How many of your socks do you need to take before you can be sure to have at least one matching pair of each colour?

OpenStudy (anonymous):

44

OpenStudy (anonymous):

Correct!

OpenStudy (anonymous):

How ?

OpenStudy (akshay_budhkar):

i am getting 22??

OpenStudy (anonymous):

did you google the problem

OpenStudy (anonymous):

i see where the answer is coming from, but just a note to reality, there are only 31 socks lol

OpenStudy (anonymous):

yeah that is what i am thinking to

OpenStudy (anonymous):

ah, strike that, pairs.

OpenStudy (anonymous):

In the worst case scenario, you go through 11 pairs of blue socks, 10 pairs of black / white socks, and 1 pair of white/black socks. That's 22 pairs = 44 socks.

OpenStudy (anonymous):

ok that mean 62

OpenStudy (anonymous):

im asleep <.< ignore my useless banter.

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