9709 P53 - Nov 2020 - Q3
2819
A committee of 6 people is to be chosen from 9 women and 5 men.
(a) Find the number of ways in which the 6 people can be chosen if there must be more women than men on the committee.
The 9 women and 5 men include a sister and brother.
(b) Find the number of ways in which the committee can be chosen if the sister and brother cannot both be on the committee.
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