Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

Work out how many different arrangements there are of all 9 letters in the word MINCEMEAT in each of the following cases.
(i)[1]

No restrictions apply.

(ii)[4]

No vowel (A, E, I are vowels) sits beside another vowel.

(iii)[2]

Determine how many possible selections contain exactly 1 M and exactly 1 E.

(iv)[3]

Determine how many possible selections contain at least 1 M and at least 1 E.

(c(iii))[2]

Determine how many possible selections contain exactly 1 M and exactly 1 E.

(c(iv))[3]

Determine how many possible selections contain at least 1 M and at least 1 E.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate evaluation of $\frac{9!}{2!2!}=90720$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI