Question

# There are 5 roads leading to a town from a village. The number of different ways in which a villager can go to the town and return back, is

A
25
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B
20
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C
10
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D
5
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Solution

## The correct option is B 20Permutation : - A Permutation is an arrangement of all or part of a set of objects, with regard to the order of the arrangement.For example, Suppose we have a set of three letters :A, B and C..... each possible arrangement would be an example of permutation.Here in this question, there are 5roads leading to a town from a village. He can go by 5 ways and can return by 4 waysSo the number of different ways in which a villager can go to the town and return back is 5×4=20

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