| Exam Board | SPS |
|---|---|
| Module | SPS ASFM Statistics (SPS ASFM Statistics) |
| Year | 2021 |
| Session | May |
| Marks | 7 |
| Topic | Combinations & Selection |
| Type | Arrangements with adjacency constraints |
| Difficulty | Standard +0.3 This is a standard combinatorics problem involving arrangements with restrictions. Part (a) uses the 'treat as a block' technique (routine), while part (b) requires the 'gaps method' (slightly less routine but still a textbook exercise). Both are well-established A-level techniques with straightforward execution, making this slightly easier than average. |
| Spec | 5.01a Permutations and combinations: evaluate probabilities |
The members of a team stand in a random order in a straight line for a photograph. There are four men and six women.
\begin{enumerate}[label=(\alph*)]
\item 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 ASFM Statistics 2021 Q3 [7]}}