A university library budget committee must reduce exactly five of eight areas of expenditure -$\text{I, J, K, L, M, N, O and P}$ in accordance with the following conditions:
If both $I$ and $O$ are reduced, $P$ is also reduced.
If $L$ is reduced, Neither $N$ nor $O$ is reduced
If $M$ is reduced, $J$ is not reduced.
Of the three areas $J$, $K$ and $N$ exactly two are reduced.
If both $K$ and $N$ are reduced, which one of the following is a pair of areas neither of which could be reduced?
- $I,L$
- $J,L$
- $J, M$
- $I,J$
