The 100 students at a technical college must study at least one subject from Pure Mathematics (P),

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The 100 students at a technical college must study at least one subject from Pure Mathematics (P), Statistics (S) and Mechanics (M). The numbers studying these subjects are given in the diagram opposite.


a. Who does the number 17 in the diagram refer to?

b. Find the probability that a randomly selected student studies:

i. Pure Mathematics or Mechanics

ii. Exactly two of these subjects.

c. List the three subjects in ascending order of popularity.

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