Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

(a)[2]

A sweet shop has 5 identical packets of toffees, 4 identical packets of fruit gums and 9 identical packets of chocolates placed in a row on a shelf. Find how many different packet arrangements are possible if the packets of chocolates have to stay together.

(b(i))[2]

Jessica purchases 8 different packets of biscuits. She then selects 4 of those packets. How many different selections are possible if the order in which Jessica selects the 4 packets is counted?

(b(ii))[3]

The 8 packets include 1 packet of chocolate biscuits and 1 packet of custard creams. How many different selections are possible if the order in which Jessica chooses the 4 packets is counted and both the packet of chocolate biscuits and the packet of custard creams are selected?

(c)[5]

9 different fruit pies are to be shared between 3 people so that each person receives an odd number of pies. Find how many ways this can be done.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Factorial method $\dfrac{10!}{5!}$

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