Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

Find how many distinct arrangements of all $9$ letters in the word CAMERAMAN can be made in each of the following situations.
(i)[2]

No restrictions apply.

(ii)[1]

The As are in the $1\text{st}$, $5\text{th}$ and $9\text{th}$ positions.

(iii)[4]

Exactly one letter lies between the Ms.

(iv)[1]

Find the number of different selections when the three letters contain exactly one M and exactly one A.

(v)[3]

Find the number of different selections when the three letters include at least one M.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct factorial expression $\frac{9!}{2!3!}$

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