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Eight railway stations A, B, C, D, E, F, G and H are connected either by two-way passages or one-way passages. One-way passages are from C to A, E to G, B to F, D to H, G to C, E to C and H to G. Two-way passages are between A and E, G and B, F and D, and E and D.

In how many different ways can a train navel from F to A without passing through any station more than once? 

(a) 1 

(b) 2 

(c) 3 

(d) 4

1 Answer

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Best answer

Correct option (d) 4

Explanation:

Possible ways to move from F to A without passing through any station more than once: 

1. FDHGCA 

2. FDEA 

3. FDECA 

4. FDEGCA 

Hence, there are 4 ways.

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