hard · GMAT Quant

A logistical routing system manages a 4 × 3 grid of delivery nodes. An automated vehicle must travel from the origin (0,0) to the destination (4,3) by moving only east or north along the grid lines.

If the vehicle must pass through the checkpoint at (2,1) but must avoid the construction zone at (3,2), how many distinct valid paths can the vehicle take?

  1. 6
  2. 18
  3. 12
  4. 9
  5. 3

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