Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
Determine the number of distinct arrangements that can be formed from the $9$ letters in SEVENTEEN for each case given below.
(i)[2]
One of the letter Es occupies the centre, with $4$ letters on either side.
(ii)[3]
No E sits beside another E.
(iii)[1]
Find the number of possible selections which contain exactly 2 Es and exactly 2 Ns.
(iv)[4]
Find the number of possible selections which contain at least 2 Es.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct permutation method, for example $\frac{8!}{2!3!}$.” …