In a group of 191 students, 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. (Justify your answer)

(a) How many are taking French and music but not business?

(b) How many are taking business and neither French nor music?

(c) How many are taking French or business (or both)?

(d) How many are taking music or French (or both) but not business?

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