Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
A committee made up of $6$ people is to be selected from $5$ men and $8$ women. How many different committees can be formed?
(a(i))[4]
Find the number of ways if there are more women than men on the committee.
(a(ii))[3]
Find the number of ways if the committee has $3$ men and $3$ women, with the condition that two specific men will not serve on the committee at the same time.
(a(iii))[3]
A certain committee contains $5$ women and $1$ man. In how many distinct ways can the members be arranged in a line if the man is not placed at either end?
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Employing combinations $^8C_4 \times ^5C_2$, $^8C_5 \times ^5C_1$, $^8C_6$” …