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 different path?

(a) 4

(b) 8

(c) 12

(d) 16

This question was posed to me during an interview for a job.

My enquiry is from Fundamental Principle of Counting in section Permutations and Combinations of Mathematics – Class 11

Answer 1

The correct choice is (c) 12

The best explanation: If there are 4 paths to travel from Delhi to Kanpur and person take one path then in coming back journey only 3 paths are remaining. 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 different path are 4 * 3 = 12.