O-LevelAdditional MathematicsPermutations and combinations4037/22 · May/June 2018 · Q57 Marks
Four parts in a play are to be given to four of the girls chosen from the seven girls in a drama class. Find the number of different ways in which this can be done.
- (a)Four parts in a play are to be given to four of the girls chosen from the seven girls in a drama class. Find the number of different ways in which this can be done.[2]
- (b)(i)no Chinese singer is chosen,[1]
- (b)(ii)one singer of each nationality is chosen,[2]
- (b)(iii)the three singers chosen are all of the same nationality.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.
- [M1] 7P4 or 7 × 6 × 5 × 4 oe
- [A1] 840
- [B1] 20
- [M1] 5C1 × 4C1 × 2C1 or 5 × 4 × 2 oe
- [A1] 40
- [M1] 5C3 + 4C3 oe
- [A1] 14
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