Direction: The figure below shows the plan of a town. The streets are at right angles to each other. A rectangular park (P) is situated inside the town with a diagonal road running through it. There is also a prohibited region (D) in the town
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Neelam rides her bicycle from her house at A to her office at B, taking the shortest path. Then the number of possible shortest paths that she can choose is
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- 60
- 75
- 45
- 90
- 72
Correct Option: D
Map of the town is given as below:
It is given that Neelam took the shortest path hence she has to pass through path EF.
Number of ways to reach E from A is 2+2C2 = 4C2 = 6.
Number of ways to reach B from F is 4+2C2 = 6C2 = 15.
Hence total number of ways to reach B from A is 6 x 15 = 90.
