1. **Stating the problem:** We need to determine which rooms can hold the planned number of guests without exceeding the hotel's limit. 2. **Understanding the problem:** Each room has a maximum capacity (hotel's limit). We compare the planned number of guests for each room with its capacity. 3. **Step-by-step approach:** - Let $G_i$ be the planned guests for room $i$. - Let $L_i$ be the limit for room $i$. - For each room, check if $G_i \leq L_i$. 4. **Evaluate each room:** - Room I: Check if $G_1 \leq L_1$. - Room II: Check if $G_2 \leq L_2$. - Room III: Check if $G_3 \leq L_3$. 5. **Conclusion:** The rooms where the planned guests do not exceed the limit are the ones that can hold the guests without violation. Since the problem does not provide specific numbers, the answer depends on the comparison results. **Answer:** The correct choice is the one listing the rooms where $G_i \leq L_i$ holds true. If the options are: - A: all three rooms - B: room II and room III - C: room I and room III - D: room I and room II Choose the option that matches the rooms meeting the condition $G_i \leq L_i$. Without specific data, the problem cannot be solved numerically here.