JEE Main & Advanced
Mathematics
Permutations and Combinations
Question Bank
Definition of permutation, Number of permutations with or without repetition, Conditional permutations
question_answer
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 [MP PET 1996]
A)25
B)20
C)10
D)\[5\]
Correct Answer:
A
Solution :
The man can go in 5 ways and he can return in 5 ways. Hence, total number of ways are \[5\times 5=25\].