| Exam Board | SPS |
|---|---|
| Module | SPS FM (SPS FM) |
| Year | 2023 |
| Session | February |
| Marks | 7 |
| Topic | Permutations & Arrangements |
| Type | Specific items separated |
| Difficulty | Standard +0.3 This is a standard permutations/arrangements probability question requiring the 'treat as a block' method for part (a) and systematic counting for part (b). Both techniques are well-established A-level Further Maths content with straightforward application, making it slightly easier than average but requiring careful execution across multiple steps. |
| Spec | 5.01a Permutations and combinations: evaluate probabilities |
\begin{enumerate}[label=(\alph*)]
\item The members of a team stand in a random order in a straight line for a photograph. There are four men and six women.
Find the probability that all the men are next to each other. [3]
\item Find the probability that no two men are next to one another. [4]
\end{enumerate}
\hfill \mbox{\textit{SPS SPS FM 2023 Q6 [7]}}