4 An examination paper consists of three sections.
- Section A contains 6 questions of which the candidate must answer 3
- Section B contains 7 questions of which the candidate must answer 4
- Section C contains 8 questions of which the candidate must answer 5
- In how many ways can a candidate choose 3 questions from Section A?
- In how many ways can a candidate choose 3 questions from Section A, 4 from Section B and 5 from Section C?
A candidate does not read the instructions and selects 12 questions at random.
Find the probability that they happen to be 3 from Section A, 4 from Section B and 5 from Section C.