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59 freshmen were interviewed about the classes they weretaking this semester. 27

ID: 3093714 • Letter: 5

Question

59 freshmen were interviewed about the classes they weretaking this semester. 27 were taking science 18 were taking math 22 were taking english 8 were taking science and math 7 were taking science and english 7 were taking english and math 2 were taking all three classes How many were not taking any science, english, andmath? How many are taking exactly one of science, english, andmath? 59 freshmen were interviewed about the classes they weretaking this semester. 27 were taking science 18 were taking math 22 were taking english 8 were taking science and math 7 were taking science and english 7 were taking english and math 2 were taking all three classes How many were not taking any science, english, andmath? How many are taking exactly one of science, english, andmath?

Explanation / Answer

Try a Venn Diagram, label each circle science, math andenglish and place the numbers as described in the areasinvolved. Start with the ones taking all three, then thosetaking two and finally one. Add all the numbers and you willhave left those not taking any. Look at the areas in only onesubject and that will give the answer to those taking onlyone.
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