Question

If there are 4 paths to travel from Delhi to Kanpur, then in how many ways a person can travel from Delhi to Kanpur and came back to Delhi via same path?

(a) 4

(b) 8

(c) 12

(d) 16

The question was posed to me in quiz.

My question is taken from Fundamental Principle of Counting in portion Permutations and Combinations of Mathematics – Class 11

Answer 1

Correct option is (a) 4

To explain: If there are 4 paths to travel from Delhi to Kanpur and person take one path then in coming back journey only one option is there. So, by the fundamental principle of counting, total number of ways a person can travel from Delhi to Kanpur and came back to Delhi via same path are 4*1 = 4.