A-LevelMathematicsProbability and statistics9709/52 · Oct/Nov 2021 · Q25 Marks
A group of 6 people is to be chosen from 4 men and 11 women.
- (a)In how many different ways can a group of 6 be chosen if it must contain exactly 1 man?[2]
- (b)In how many different ways can a group of 6 be chosen if Jane and Kate cannot both be in the group?[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.
- [M1] 11C5 × 4C1 condone 11P5 × 4P1 no +, −, × or ÷.
- [A1] 1848 CAO as exact.
- [M1] 15C6 - k, k a positive integer < 5005, condone 15P6.
- [M1] m - 13C4, m integer > 715, condone n - 13P4, n > 17 160.
- [A1] 4290
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