O-LevelAdditional MathematicsPermutations and combinations4037/21 · May/June 2019 · Q97 Marks
Find the number of different ways the televisions can be arranged.
- (a)(i)Find the number of different ways the televisions can be arranged.[1]
- (a)(ii)Of these television sets, 6 are made by company A and 5 are made by company B. Find the number of different ways the televisions can be arranged so that no two sets made by company A are next to each other.[2]
- (b)(i)Calculate the number of different groups of 4 people that have exactly 3 women.[2]
- (b)(ii)Calculate the number of different groups of at most 4 people where the number of women is the same as the number of men.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.
- [B1] 39 916 800
- [M1] 5!6! oe
- [A1] 86 400
- [M1] ⁵C₃ × ³C₁ oe
- [A1] 30
- [M1] ⁵C₂ × ³C₂ + ⁵C₁ × ³C₁ oe
- [A1] 45
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