O-LevelAdditional MathematicsPermutations and combinations4037/12 · May/June 2011 · Q77 Marks
A team of 6 members is to be selected from 6 women and 8 men.
- (i)Find the number of different teams that can be selected.[1]
- (ii)Find the number of different teams that consist of 2 women and 4 men.[3]
- (iii)Find the number of different teams that contain no more than 1 woman.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2011). The mark or mark type is shown in brackets.
- (i) ¹⁴C₆ = 3003; B1
- (ii) ⁶C₂ × ⁸C₄ = 1050; B1 for ⁶C₂ or ⁸C₄; B1 for × by ⁸C₄ or ⁶C₂; B1 for 1050
- (iii) ⁶C₀ × ⁸C₆ + ⁶C₁ × ⁸C₅ = 364; B1 for ⁶C₀ or equivalent; B1 for ⁶C₁ or equivalent; B1 for 364
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