In the figure given below, all the routes of going from City X to City Y are shown by the help of arrows. Each route passes through some of the seven Refugee Camps called A, B, C, D, E, F and G. The number given in brackets along with the name of a Refugee Camp represents the number of people staying in that camp.

It is also known that:

(i) A truck is loaded with food supply at City X. It takes one of the possible routes to City Y and distributes food packets among the people staying in all the camps along its route.

(ii) Each person staying in a camp is given a food packet weighing 1.5 kg. A truck is allowed to pass through a camp on its route only after each person staying in the camp gets the food packet.

Question Statement :

How many different routes can a truck loaded with 2100 kg of food supply take from City X to City Y such that it can give food packets to all the people staying in camps along that route?

Question Statement :

A truck loaded with 2100 kg of food supply is barely able to give food packets to all the people staying in camps along its route and is left with no food when it reaches City Y. How many camps fall in the route taken by the truck?

3
4
5
Cannot be determined

Question Statement :

A pair of two routes on which the quantity of food that needs to be distributed by a truck is exactly the same is called an "F-pair". How many F-pairs are there among the different routes from City X to City Y?