Suppose that in a particular class of 200 students, 31 of them plan on majoring in math, 27 plan on majoring in history, and 18 plan on double majoring in math and history. How many want to major in exactly one of psychology or math? (Hint: Look at the Venn diagram and figure out which regions correspond to “exactly one”; do not try and write the set down!)

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A: We have solve this question by Venn diagram:

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A: Solution : The complete solution of both the questions is given below in the attachment file.

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.