In this video, we show the general sum principle for sets (the formula for the cardinality of A union B). The key feature is that if the sets intersect, then we have to account for elements that may have been double counted.
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For a more dramatic version of this video, check out:
• Sum and Product Principles for Finite... (which includes the product principle too).
If you want to learn more about these principles, check out:
• Elementary Counting Principles [Discr...
A related textbook forthis is the open-source textbook by Oscar Levin:
http://discrete.openmathbooks.org/dmo...
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