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. $25$
• B. $20$
• C. $10$
• D. $5$

Answer 1

The correct option is B $20$

Permutation : - 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 $5$roads leading to a town from a village.

He can go by $5$ ways and can return by $4$ ways

So the number of different ways in which a villager can go to the town and return back is $5\times 4=20$