A road network as shown in the figure connect four cites. In how many ways can you start from any city (say A) and come back to it without travelling on the same road more than once ?

There are five cities A, B, C, D, E on a certain island. Each city is connected to every other city by road. In how many ways can a person starting from city A come back to A after visiting some cities without visiting a city more than once and without taking same road more than once? (The order in which he visits the cities also matters: e.g. the routes A->B->C->A and A->C->B->A are different

There are 6 roads between A & B and 4 roads between B & C. (i) In how many ways can one drive from A to C by way of B? (ii) In how many ways can one drive from A to C and back to A, passing through B on both trips? (iiiI In how many ways can one drive the circular trip described in (ii) without using the same road more than once?

Ten buses are plying between two places A and B. In how many ways a person can travel from A to B and come back?

From a committee of 8 persons, in how many ways can we choose a chirman and a vice chairman assuming one person cannot hold more than one position?

From a committee of 8 persons,in how many ways can we choose a chairman and a vice chairman assuming one person cannot hold more than one position?

As shown in the figure,Avinash is standing near his home.He can choose from two roads to go to school.Which way is shorter? Explain why.

A car is travelling on a road. The maximum velocity the car can attain is 24 ms^-1 and the maximum deceleration is 4 ms^-2. If car starts from rest and comes to rest after travelling 1032m in the shortest time of 56 s, the maximum acceleration that the car can attain is