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An investigator interviewed 100 students...

An investigator interviewed 100 students to determine their preferences for the three drinks, milk (M), coffee (C ) and tea (T). He reported the following: 10 students has all three drinks M, C, T, 20 had M and C, 30 had C and T, 25 had M and T, 12 had M only, 5 had C only and 8 had T only. Using a Venn diagram, find how many did not take any of the three drinks?

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To solve the problem step by step, we will use a Venn diagram to organize the information given about students' drink preferences. ### Step 1: Understand the Information Given We have the following data from the investigator: - Total students interviewed: 100 - Students who had all three drinks (M, C, T): 10 - Students who had M and C (including those who had all three): 20 - Students who had C and T (including those who had all three): 30 ...
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