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MATH1228 Methods of Finite Mathematics 2025 Midterm 1 written Notes: Sets, Permutations, and Probability University of Western Ontario

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MATH1228 Methods of Finite Mathematics 2025 Midterm 1 written Notes: Sets, Permutations, and Probability University of Western Ontario

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MATH1228 Methods of Finite Mathematics 2025
Midterm 1 written Notes: Sets, Permutations, and
Probability University of Western Ontario

, MATH1228 MID1 NOTES

Every set is a subset of itself.

Is always a subset of any given set.


Associativity


Distributivity




De Morgan’s Law


(indirect counting)


Exclusion-Inclusion Principle




Counting Trees:




rxsxtx…
The number of subsets of a set with n elements is equal to

Proper subsets number of a set with n elements

, Permutation




Circular permutation:




Combination
Binomial coefficient: Properties:




Group Distinct
Distinguishable:


Non distinguishable:

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