Question:
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
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
Updated On: Apr 25, 2025
- 3290
- 3920
- 3940
- 3950
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The Correct Option is A
Solution and Explanation
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.
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.
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