Suppose that in a particular Finite course, 4/7 of students plan on majoring in math, 25/42 plan on majoring in communications, and 2/7 plan on double majoring in math and communications. How many want to major in exactly one of communications or math?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
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Suppose that in a particular Finite course, 4/7 of students plan on majoring in math, 25/42 plan on majoring in communications, and 2/7 plan on double
majoring in math and communications. How many want to major in exactly one of communications or math?
Transcribed Image Text:Suppose that in a particular Finite course, 4/7 of students plan on majoring in math, 25/42 plan on majoring in communications, and 2/7 plan on double majoring in math and communications. How many want to major in exactly one of communications or math?
Expert Solution
Step 1

Given that, in a particular finite course, 47 of students plans majoring in math, 2542 plans majoring in communication, and 27 plans dual majoring in both math and communications.

Let m denotes total number of people majoring in math and c denotes total number of people majoring in communications.

Therefore using above given conditions, we have:

Pm=47Pc=2542Pmc=27

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