CISC 102 Lecture Notes - Lecture 6: Red Guitars

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CISC 102 Full Course Notes
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CISC 102 Full Course Notes
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An equation relating the sizes of two sets and their union. If a and b are two finite sets, then: We need to subtract |a b|, because the space is counted twice in |a| and |b| There is a music store that has either red instruments, or guitars. There are 15 red instruments and 18 guitars. Along with knowing how many red instruments and guitars there are in the store, we must also figure out how many red guitars there are. Suppose there are 8 red guitars in the music store. We can get the equation for the cardinality of the union of 3 sets. Suppose a, b, and c are three finite sets. |a b c | = |a| + |b| + |c| - |a b| - |a c| - |b c| + |a b c| In |a|+|b|+|c|, the intersecting points of the sets are counted more than once.

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