2005 AMC 8 Problem 16
Below is the professionally curated solution for Problem 16 of the 2005 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2005 AMC 8 solutions, or check the answer key.
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Difficulty rating: 1230
16.
A five-legged Martian has a drawer full of socks, each of which is red, white or blue, and there are at least five socks of each color. The Martian pulls out one sock at a time without looking. How many socks must the Martian remove from the drawer to be certain there will be socks of the same color?
Solution:
Note that the Martian can pull out socks of each color without drawing of the same color. The th sock, however, must be the th sock of some color.
Thus, D is the correct answer.
Problem 16 in Other Years
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