WAEC - Further Mathematics (2008 - No. 31)

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?
40
25
15
10

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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