Consider the following rooted tree with the vertex labeled P as the root: The order in which the nodes are visited during an in-order traversal of the tree is

For a general/multi-way tree, the in-order traversal of a node with children $C_1, C_2, \dots, C_k$ is defined as:

1. In-order traversal of the first (leftmost) subtree $C_1$

2. Visit the root node

3. In-order traversal of the remaining subtrees $C_2, C_3, \dots, C_k$ in order

Applying this recursively:

• Root $P$ has children $Q$ and $R$.

• Subtree at $Q$:

  • $Q$ has child $S$.

  • In-order traversal of $Q$: Visit $S$, then visit $Q$ $\implies \text{S, Q}$.

• Visit root $P$ $\implies \text{P}$.

• Subtree at $R$:

  • $R$ has three children: $T$, $U$, $V$.

  • Traverse first child $T$ $\implies \text{T}$.

  • Visit node $R$ $\implies \text{R}$.

  • Traverse second child $U$ (which has child $W$): Visit $W$, then visit $U$ $\implies \text{W, U}$.

  • Traverse third child $V$ $\implies \text{V}$.

  • In-order of subtree $R$: $\text{T, R, W, U, V}$.

Combining these gives the complete sequence: $$\text{S, Q, P, T, R, W, U, V}$$ (SQPTRWUV), corresponding to Option A.