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1: 26.18 Counting Techniques

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26.18.1

\left|S\setminus(A_{1}\cup A_{2}\cup\cdots\cup A_{n})\right|=\left|S\right|+% \sum_{t=1}^{n}(-1)^{t}\sum_{1\leq j_{1}<j_{2}<\cdots<j_{t}\leq n}\left|A_{j_{1% }}\cap A_{j_{2}}\cap\cdots\cap A_{j_{t}}\right|.

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Symbols:: $\left|\NVar{A}\right|$ : number of elements of a finite set $A$ , $\cap$ : intersection, $\setminus$ : set subtraction, $\cup$ : union, $j$ : nonnegative integer, $n$ : nonnegative integer, $A_{k}$ : subsets and $S$ : set
Permalink:: http://dlmf.nist.gov/26.18.E1
Encodings:: pMML, png, TeX
See also:: Annotations for §26.18 and Ch.26

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2: 26.1 Special Notation

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$x$	real variable.
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$\left\|A\right\|$	number of elements of a finite set $A$ .
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