O-LevelAdditional MathematicsPermutations and combinations4037/21 · May/June 2020 · Q44 Marks
In an examination, candidates must select 2 questions from the 5 questions in section A and select 4 questions from the 8 questions in section B. Find the number of ways in which this can be done.
- (a)In an examination, candidates must select 2 questions from the 5 questions in section A and select 4 questions from the 8 questions in section B. Find the number of ways in which this can be done.[2]
- (b)The digits of the number 6378129 are to be arranged so that the resulting 7-digit number is even. Find the number of ways in which this can be done.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.
- [M1] ⁵C₂ × ⁸C₄ oe
- [A1] 700
- [M1] 3 × 6! oe
- [A1] 2160
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