Review some mathematical tools that are frequently used in probability theory and statistics.
The basics of sets and set operations (union, intersection, complement)
Generalizing the concept of permutation, counting k-permutations
Ordering objects, counting permutations, the factorial function
Subdividing objects into groups, counting the number of possible subdivisions
Choosing groups of objects, counting them, the binomial coefficient
Convergence, convergence criteria, metrics
Definition of sequence, countable and uncountable sets
Definite and indefinite integrals, computation rules
The basic rules used to compute the derivative of a function
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