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Suppose there is a group of 191 students, of which 10 are taking French, business, and music; 36 are taking French and business; 20 are

Suppose there is a group of 191 students, of which 10 are taking French, business, and music; 36 are taking French and business; 20 are taking French and music; 18 are taking business and music; 65 are taking French; 76 are taking business; and 63 are taking music.

(a) How many are taking none of the three subjects?

(b) Draw a Venn Diagram to illustrate the universal set U of students, set F those students taking French, set B for those students taking business, and set M for those students taking music. Write the number of students belonging each region depicted in the diagram.

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