Question

The ground floor plan of a building has \(3\) entrances. If each entrance can be connected by stairs or an elevator externally, in how many ways can a person enter the building through the entrance?

• A. \(03\)
• B. \(06\)
• C. \(09\)
• D. \(12\)

Hint:

When multiple independent choices exist, multiply the number of options at each stage to find total possible ways.

Answer 1

The Correct Option is B

Concept: This problem is based on the multiplication principle of counting. If an event can occur in \(m\) ways and another independent event can occur in \(n\) ways, then the total number of ways both events can occur together is \(m \times n\).
Step 1: Identify choices at each entrance
Number of entrances \(=3\)
For each entrance, a person can use:
Stairs, or
Elevator So, number of choices per entrance \(=2\).
Step 2: Apply multiplication principle \[ \text{Total ways} = 3 \times 2 = 6 \] Conclusion: A person can enter the building in \(\boxed{6}\) different ways.
Final Answer: \(\boxed{6}\)