Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

Determine how many different arrangements of all 9 letters in the word EVERGREEN are possible if:

(i)[1]

there are no restrictions are imposed,

(ii)[2]

the first letter is R and the last letter is G,

(iii)[2]

the Es are all together.

(iv)[1]

Three letters from the 9 letters of the word EVERGREEN are selected. Determine the number of selections that contain no Es and exactly $1$ R.

(v)[3]

Find the number of selections with no Es.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct total number of arrangements $=7560$” …