Question

A straight road runs from north to south. It has two turnings towards east and three turnings towards west. In how many ways can a person coming from east get on the road and go west?

• A. 2
• B. 3
• C. 9
• D. 6
• E. 5

Hint:

When movements involve independent entry and exit points, multiply the number of entry options with exit options.

Answer 1

The Correct Option is D

Step 1: Understanding the problem.
The road is north–south, with 2 turnings to the east and 3 turnings to the west.
A person coming from east must use one of the 2 east turnings to enter the road, then later leave by one of the 3 west turnings.

Step 2: Applying multiplication principle.
Choices for entry = 2.
Choices for exit = 3.

Step 3: Multiply.
Total ways = \(2 \times 3 = 6\).

Final Answer:
\[ \boxed{6} \]