Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

(i)[3]

Determine the number of ways to select a committee of 6 people from 8 men and 4 women, provided the committee has at least twice as many men as women.

(ii)[3]

Determine the number of ways to form a committee of 6 people from 8 men and 4 women if 2 specific men are unwilling to serve together on the committee.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A correct product for one valid case, perhaps left unsimplified, for example ${}^8C_4\times{}^4C_2$” …

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