Solution — 2025 Question 8 Permutations & Combinations

(a)

\begin{matrix} Number of ways \\ = 11! \\ = 39 916 800 ∎ \end{matrix}

(b)

\begin{matrix} Required number of ways \\ = ((\binom{5}{4}) 4!) ((\binom{6}{2}) 2!) 5! \\ = 432 000 ∎ \end{matrix}