Mathematics 9709 · AS & A Level · Permutations and combinations

Permutations and combinations — practice question

(a)[1]

In how many distinct ways can the 9 letters of RECORDERS be arranged?

(b)[3]

How many distinct arrangements of the 9 letters in RECORDERS have an E at the start, an E at the end and do not place all three Rs together?

(c)[4]

Determine the probability that the three Rs lie in the same group.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate evaluation of $\\dfrac{9!}{2!3!}=30240$

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