Question
Quantitative Aptitude Question on Geometry
With rectangular axes of coordinates, the number of paths from (1,1) to (8,10) via (4,6), where each step from any point (x, y) is either to (x, y+1) or to (x+1, y), is
A
3290
B
3920
C
3940
D
3950
Answer
3290
Explanation
Solution
Consider points A, B, and C with coordinates (1, 1), (8, 10), and (4, 6), respectively.
The number of ways to go from A to B via C is calculated as the product of the number of ways to go from A to C and the number of ways to go from C to B, which is expressed as 8C5 × 8C4 = 3920.