O-LevelAdditional MathematicsPermutations and combinations4037/12 · May/June 2010 · Q107 Marks
A music student needs to select 7 pieces of music from 6 classical pieces and 4 modern pieces. Find the number of different selections that she can make if
- (i)there are no restrictions,[1]
- (ii)there are to be only 2 modern pieces included,[2]
- (iii)there are to be more classical pieces than modern pieces.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2010). The mark or mark type is shown in brackets.
- B1 for ¹⁰C₇ = 120
- B1, B1 for ⁶C₅ × ⁴C₂ = 36
- M1 for a correct method
- B1, B1 for 4, B1 for 60
- A1
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