Question

In the adjoining figure, the lines represent one-way roads allowing travel only northwards or only westwards. Along how many distinct routes can a car reach point B from point A?

• A. 15
• B. 56
• C. 120
• D. 336

Hint:

In grid path problems, use combinations to count the possible distinct paths based on the required movements in each direction.

Answer 1

The Correct Option is C

This is a grid-based path counting problem. Using the combination formula \( \binom{m+n}{n} \), where \(m\) and \(n\) represent the number of moves in the horizontal and vertical directions, respectively, we calculate the number of distinct paths. For this grid, the answer is \( 120 \). \[ \boxed{120} \]