Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
A cricket side of $11$ players must be selected from $21$ players made up of $10$ batsmen, $9$ bowlers and $2$ wicketkeepers. The side has to contain at least $5$ batsmen, at least $4$ bowlers and at least $1$ wicketkeeper.
(i)[4]
Find the number of different ways the team may be selected.
(ii)[1]
Each player in the team receives a present. The presents are $5$ identical pens, $4$ identical diaries and $2$ identical notebooks. Find the number of distinct arrangements of the presents when they are all shown in a row.
(iii)[3]
$10$ of these $11$ presents are selected and placed in a row. Find the number of distinct arrangements that can be made.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Three combinations multiplied together” …