O-LevelAdditional MathematicsPermutations and combinations4037/22 · May/June 2016 · Q33 Marks
A team of 3 people is to be selected from 7 women and 6 men. Find the number of different teams that could be selected if there must be more women than men on the team.
- A team of 3 people is to be selected from 7 women and 6 men. Find the number of different teams that could be selected if there must be more women than men on the team.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.
- [M2] Any one of: [⁷C₂ x ⁶C₁] + [⁷C₃ x ⁶C₀] or 35+126 or ¹³C₃ - ⁶C₂ x ⁷C₁ - ⁶C₃ or 286 - 105 - 20 or ⁷C₂ x ⁶C₁ + ⁷C₃ or ⁶C₃ or for the numerical equivalent of one of these calculations
- [A1] 161 If M0 then B3 for answer only of 161
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