Mathematics 9709 · AS & A Level · Permutations and combinations

Permutations and combinations — practice question

(a)[1]

Determine how many distinct arrangements can be made from the 8 letters in the word COCOONED.

(b)[2]

Find how many distinct arrangements of the 8 letters in the word COCOONED have O as the first letter and N as the last letter.

(c)[3]

Find the probability that a randomly selected arrangement of the 8 letters in the word COCOONED has all three Os together, given that the two Cs are adjacent.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate evaluation $\dfrac{8!}{2!3!}=3360$.

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