There are three cities A, B and C. Each of these cities is connected with the other two cities by at least one direct road. If a traveller wants to go from one city to another city she can do so either by traversing a road connecting the two cities directly, or by traversing two roads, the first connecting the origin to the third city and the second connecting the third city to the destination. In all there are routes from A to B. Similarly there are routes from B to C. How many roads are there from A to C directly?
Important Questions on Permutations and Combinations
How many numbers greater than and less than a million can be formed with the digits and ?
There are six boxes numbered . Each box is to be filled up either with a red or a green ball in such a way that at least one box contains a green ball and the boxes containing green balls are consecutively numbered. Find the total number of ways in which this can be done.
In how many ways, five chocolates can be chosen from an unlimited number of Cadbury, Five-star and Perk chocolates?
