2019 SAJC P2 Q6
2019 SAJC P2 Q6
6 marks
Prelims
A university drama club contains 3 Biology students, 4 History students, and 6 Literature students. 5 students are to be selected as the cast of an upcoming production.
- In how many ways can the 5 cast members be selected so that there are at most 2 Biology students?[2]
- Find the probability that, amongst the cast members, the number of History students exceeds the number of Literature students, given that there are at most 2 Biology students.[4]
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Answer:(i) \(1242\) (ii) \(\frac{261}{1242} = 0.210\)
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