Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

(a(i))[3]

Find the number of integers from $100$ to $999$ with all three digits different.

(a(ii))[4]

Find the number of values in part (i) that are odd and greater than $700$.

(b)[4]

A bunch of flowers is made up of roses, tulips and daffodils. Tom buys a bunch of $7$ flowers from a shop for a friend. He must include at least $2$ of each type. The shop stocks $6$ roses, $5$ tulips and $4$ daffodils, all distinct from one another. Find the number of different bunches of flowers that can be made.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: A valid counting method such as $9 \times 9 \times 8$ or $900 - 28 \times 9$

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