Mathematics 9709 · AS & A Level · Permutations and combinations

Permutations and combinations — practice question

(a)[1]

Find how many different arrangements can be made from the 9 letters in the word ALGEBRAIC.

(b)[3]

Find how many different arrangements of the 9 letters in the word ALGEBRAIC have no more than two letters between the two As.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Exactly, $\dfrac{9!}{2!}=181440$.” …