Discrete Mathematics

Set Operations

Union and Intersection

         

Given the sets A={2,20,22,5,13}A = \{2, 20, 22, 5, 13\} and B={6,9,20,12,22}B = \{6, 9, 20, 12, 22\}, what is the sum of all the elements in ABA \cup B?

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Given the sets A={17,29,65,1,19}A = \{17, 29, 65, 1, 19\} and B={3,9,29,101,65}B = \{3, 9, 29, 101, 65\}, what is the sum of all the elements in ABA \cap B?

Details and assumptions

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A survey of 8080 students found that 4242 of them are wearing red and 3434 of them are wearing green. Furthermore, 2727 of them are wearing neither red nor green. What is the number of students who are wearing red, green, or red and green?

If A={xx is any positive factor of 52}B={xx is any positive factor of 338},\begin{aligned} A &= \{x \mid x \text{ is any positive factor of } 52\} \\ B &= \{x \mid x \text{ is any positive factor of } 338\}, \end{aligned}

what is AB?A \cap B?

Given the sets A={1,2,3,a,b},B={3,15,21},A=\{1,2,3,a,b\}, B=\{3,15,21\}, if AB={1,2,3,6,10,15,21},A \cup B=\{1,2,3,6,10,15,21\}, what is the value of a+b?a+b?

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