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There are 5 roads leading to town from a village. How many number of different ways in which a villager can go to the town and return back?

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Maths and physics teacher till engineering level

25
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25.
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If villagers are allowed to return back on the same route, then the answer is 25
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20 years of experience as Maths Tutor

5 ways to go and 5 ways to return. 5*5 = 25
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Well there are 2 cases that we need to consider in this case. Case (i): Villager can return in the same route as well. Total ways: 5*5= 25 Case (ii): Villager can't return via same route. Total ways: 5*4=20
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