Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

A set of 8 friends goes to the airport in two taxis, $P$ and $Q$, each with room for 4 passengers.
(i)[3]

The 8 friends split into two groups of 4, one for taxi $P$ and the other for taxi $Q$, with Jon and Sarah in the same taxi. Determine the number of different ways this can be arranged.

(ii)[4]

Each taxi has 1 seat in the front and 3 seats in the back (see diagram). Mark is placed in the front of taxi $P$, and Jon and Sarah are seated together in the back of taxi $P$ next to one another. Find how many different seatings are now possible for the 8 friends.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply combinations $\binom{6}{2}$ and $\binom{4}{2}$

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