Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

Find the count of numbers between $3000$ and $5000$ that can be made from the digits $1, 2, 3, 4$ and $5$.
(a(i))[2]

Find how many numbers can be made if digits are not repeated.

(a(ii))[3]

Find how many numbers can be made if digits can be repeated and the number formed is odd.

(b(i))[2]

A box of $20$ biscuits contains $4$ different chocolate biscuits, $2$ different oatmeal biscuits and $14$ different ginger biscuits. $6$ biscuits are selected from the box at random. Find the number of different selections that include the $2$ oatmeal biscuits.

(b(ii))[4]

Find the probability that fewer than $3$ chocolate biscuits are chosen.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Uses $2\times4P3$ or an equivalent counting method for the arrangements

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