A test consists of 12 questions out of which candidates are to answer 10. If
FURTHER MATHEMATICS
WAEC 2008
A test consists of 12 questions out of which candidates are to answer 10. If the first 6 are compulsory, in how many ways can each candidate select her questions?
- A. 40
- B. 25
- C. 15
- D. 10
Correct Answer: C. 15
Explanation
The first 6 questions can only be selected in 1 way.
The remaining 4 questions can be selected in \(^{6}C_{4}\) ways.
= \(\frac{6!}{(6 - 4)! 4!} = 15\)
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