Mathematics 9709 · AS & A Level · Permutations and combinations

Permutations and combinations — practice question

(a)[2]

Determine how many distinct arrangements can be made from the $9$ letters in ACTIVATED.

(b)[3]

Find the number of different arrangements of the $9$ letters in the word ACTIVATED in which there are at least $5$ letters between the two As.

(c)[5]

Find the probability that the selection includes at least as many As as Ts.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Accurate permutation expression $\frac{9!}{2!2!}$” …

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