Mathematics 9709 · AS & A Level · Permutations and combinations

Permutations and combinations — practice question

(a)[2]

Determine how many different arrangements can be made from the 8 letters in TOMORROW.

(b)[3]

Find how many different arrangements of the 8 letters in TOMORROW have an R at the start and an R at the end, and where the three Os do not all occur together.

(c)[5]

Four letters are chosen at random from the 8 letters of TOMORROW. Find the probability that the chosen letters include at least one O and at least one R.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: The correct factorial form is $\frac{8!}{2!3!}$.

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