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Hard
December 15th
Questions
What is the cardinality of the set of all subsets of a set with n elements?
What is the cardinality of the set of all functions from a set with m elements to a set with n elements?
What is the number of non-similar connected graphs with n vertices?
What is the number of non-similar labeled trees with n vertices?
What is the number of ways to partition a set with n elements into non-empty subsets?
Medium
August 6th
Questions
What is the symbol used to represent the empty set in set theory?
In combinatorics, what is the number of ways to arrange n objects in a row?
What is the sum of the interior angles of a triangle?
What is the Pythagorean theorem used to calculate?