Mathematics 9709 · AS & A Level · Permutations and combinations

Permutations and combinations — practice question

(a)[1]

How many distinct arrangements can be made from the $8$ letters in the word RELEASED?

(b)[3]

How many distinct arrangements of the $8$ letters in the word RELEASED have the letters LED together in that order?

(c)[4]

A random arrangement of the 8 letters in RELEASED is selected. Find the probability that the letters A and D are not together.

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 $\frac{8!}{3!}=6720$” …