Rikki edited untitled.html  over 8 years ago

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three vegetarian entrees. How many dinners are there to choose from?

The rule of sum is applied  here because each entrĂ©e contains either meat or fish or is vegetarian. So we  have \(15+5+3=23.\)

The rule of sum is often expressed in terms  of sets:
  • The union between two sets is denoted as \(A\cup B\). The union means that a set of objects can happen in \(A\) or \(B\) ways or possibly even  in both ways.
  • The intersection of sets is denoted \(A\cap B\). This is the set of objects that can happen in \(A\) and \(B\) ways.
  • If the sets \(A\) and \(B\) have no like similar  elements, then \(A\cap B=\left\{\right\}\) , which is known as the empty set.
  • The size of a set is denoted data-equation="\left|A\right|">\(\left|A\right|\)or data-equation="\left|A\right|">\(\left|A\right|\) or  \(\left|B\right|\) to show the amount of elements in set \(A\) or set \(B\).