Question 980305: URGENT HELP NEEDED! =)
In a drawer there are 4 identical blue socks and 5 identical grey socks.
What is the smallest number of socks you can remove from the drawer randomly so that you will be absolutely sure of having:
i) a pair of grey socks?
ii) a pair of blue socks?
iii) a grey pair and a blue pair of socks?
As I am a beginner, a step by step answer would be very helpful, and would greatly enhance my learning.
Thank you if you choose to solve this!
Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! i) and ii) min of 3 socks
You have two pigeonholes, one labelled GREY and the other labelled BLUE. You pull out 3 socks and put each of them into the appropriate pigeonhole. Since there were more socks than pigeonholes, one pigeonhole must contain more than one sock.
iii) min of 5 socks
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