Dec 18, 2018
Two sets A and B have the property that there are precisely 144 sets which are subsets of either A or B or both. How many elements are in the union of A and B?Β
Source, problem 3
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Two sets A and B have the property that there are precisely 144 sets which are subsets of either A or B or both. How many elements are in the union of A and B?Β
Source, problem 3
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Slices of a simplex
If you cut a regular tetrahedron ABCD in half in between AB and CD (along the plane parallel to and equidistant from each), you get a square, like so:
Now take a 4-simplex (also known as a 5-cell), the 4-dimensional regular polytope with 5 equidistant vertices, and label the vertices ABCDE. What three-dimensional solid do you obtain by cutting along the hyperplane at the halfway point between AB and CDE?
This problem is from the 2018 Mathcamp Qualifying Quiz.
Playing clarinet after learning calculus. I don't have a music stand, so I do what I can. #clarinet #mathcamp #sorrybeethoven #itried (at Houston, Texas)
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Sana maging super saya ng MATH camp bukas para sa lahat :) lalo na sa ORANGE TEAM..... :):):) MATHikas<3<3<3<3