Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
A village hall contains $40$ seats altogether, arranged in $8$ rows with $5$ seats per row. Mary, Ahmad, Wayne, Elsie and John are the first people to reach the village hall, and none of the seats has been occupied before they arrive.
(a(i))[2]
How many different seatings are possible for Mary, Ahmad, Wayne, Elsie and John when there are no restrictions?
(a(ii))[4]
How many different seatings are possible for Mary, Ahmad, Wayne, Elsie and John if Mary and Ahmad are together in the front row and the other three are together in one of the other rows?
(b)[4]
How many ways are there to choose a team of $4$ people from $10$ people if $2$ of them, Ross and Lionel, will not serve on the same team?
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use permutations $40P5$ or an equivalent factorial expression” …