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December
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This problem set has unrelated parts.
Show your work.
- Getting ready for MATH 1300, his favorite class, Joe still needs to
put on socks.
In his sock drawer there are 12 pairs of white socks, 6 pairs of black socks,
and 3 pairs of red socks.
The only problem is they are all mixed up randomly throughout the drawer.
How many socks does Joe need to take (without looking) before he can be sure
to have at least one matching pair?
- Suppose we have a cube of cheese.
This cube is divided into 27 small cubes of cheese, so it looks like Rubik's
cube (3 x 3 x 3).
There is this little mouse who wants to eat the whole cube of cheese.
She starts eating the cube in the center, and then has to continue eating
adjacent cubes, where two cubes are called adjacent if they share a face.
Can the mouse eat the whole cube of cheese?
- Click on this link to see 5 figures.
One of these 5 figures is most different from the other 4.
Which one is most different, and why?
- Hunter Jack wants to shoot a bear.
He leaves his camp, and walks 10 miles south where he perceives bear tracks.
Jack follows the bear tracks for 10 miles east, where he sees the bear and
takes a shot at it.
He misses.
Then Jack walks 10 miles north and is back at camp.
What is the color of the bear?
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