2005 AMC 8 Problems/Problem 16
Problem
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 5 socks of the same color?
Solution
The Martian can pull out socks,
of each color, without having
of the same kind yet. However, the next one he pulls out must be the fifth of one of the colors so he must remove
socks.
See Also
2005 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 15 |
Followed by Problem 17 | |
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