Mathematics 9709 · AS & A Level · Permutations and combinations

Permutations and combinations — practice question

The 8 letters in RESERVED are put into a random order.

(a)[3]

Find the probability that V is first and E is last in the arrangement.

(b)[4]

Find the probability that both Rs are together, given that all three Es are together.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Overall number of arrangements $\frac{8!}{3!2!}$” …