There are 12 stations on a certain railway line . How many different kinds of tickets of class II must be printed in order that a passenger may go from any one station to any other ?

There are 13 stations on a certain railway line.How many kinds of different single third class tickets have to be printed in order that it may be possible to travel from any station to any other?

There are 17 stations from Howrah to Bandel on the railway line . How many kinds of different single third class tickets must be printed so as to enable a passenger to travel from one station to another?

In a network of railways, a small island has 15 stations. Find the number of different types of tickets to be printed for each class, if every stations must have tickets for other stations.

Out of 8 given points, 3 are collinear. How many different straight lines can be drawn by joining any two points from those 8 points?

Rajdhani Express going from Bombay to Delhi stops at five intermediate stations, 10 passengers enter the train during the journey with 10 different ticket of two class. The number of different sets of tickets they may have is a. ""^15 C_(10) b. ""^20 C_(10) c. ""^30 C_(10) d. none of these

In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the students can get any number of prizes?

(Transportaion problem) : There are two factories located one at place P and the other at place Q. From these locations, a certain commodity is to be delivered to each of the three depots situated at A,B and C. The weekly requirements of the depots are respectively 5,5 and 4 units of the commodity while the production capacity of the factories at P and Q are respectively 8 and 6 units. The cost of transportaion per unit is given below: How many units should be transported from each factory to each depot in order that the transportation cost its minimum. What will be the minimum transportation cost?

12 ferry - steamers ply between Chandpal Ghat and Botanical Garden . In how many different ways can a person go from Chandpal Ghat to Botanical Garden in one steamer and return in a different steamer ?

In vacuum (i) find out the electric flux across an area vec S = 10 hatj placed in an electric field vec E = 2 hati + 4 hatj + 7 hatk , (ii) How many electric charges are to be placed at a point such that 4400 number of electric lines of forces with emerge from that point ? (iii) What will be the electric flux through any one of the faces of a cube of side 10 cm if a charge of 1 esu is placed at the centre of the cube ?

A train is going from kolkata to Delhi stops at nine intermediate stations. Six persons enter the train during the journey with six different tickets. How many different sets of tickets they have had ?