| Exam Board | SPS |
|---|---|
| Module | SPS ASFM (SPS ASFM) |
| Year | 2020 |
| Session | May |
| Marks | 7 |
| Topic | Permutations & Arrangements |
| Type | Specific items separated |
| Difficulty | Standard +0.3 This is a standard permutations problem testing arrangements with restrictions. Part (a) uses the 'treat as a block' method (routine technique), while part (b) requires placing men in gaps between women (also standard). Both are well-practiced A-level techniques with straightforward execution, making this slightly easier than average. |
| Spec | 5.01a Permutations and combinations: evaluate probabilities5.01b Selection/arrangement: probability problems |
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 2020 Q11 [7]}}