In a row, there are 12 professors between Akash and Bhumi and Akash being the first professor in the row. There are 6 professors between Bhumi and Charu. If there are 15 professors after Charu, then how many minimum professors are there in the row?
A motorist knows four different routes from Jaipur to Bhangarh. From Bhangarh to Alwar he knows three different routes and from Alwar to Carlisle he knows two different routes. How many routes does he know from Jaipur to Carlisle?