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.

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

An aeroplane can carry a maximum of 200 passengers. A profit of Rs 1000 is made on each executive class ticket and a profit of 600 is made on each economy class ticket. The airline reserves atleast 20 seats for executive class. However, atleast 4 times as many passengers prefer to travel by economy class than by the executive class. Determine how many tickets of each type must be sold in order to maximise the profit for the airline. What is the maximum profit?

Two friends Aa n dB have equal number of daughters. There are three cinema tickets which are to be distributed among the daughters of Aa n dB . The probability that all the tickets go to the daughters of A is 1/20. Find the number of daughters each of them have.

An examination consists of 10 multiple choice questions, where each question has 4 options, only one of which is correct. In every question, a candidate earns 3 marks for choosing the correct opion, and -1 for choosing a wrong option. Assume that a candidate answers all questions by choosing exactly one option for each. Then find the number of distinct combinations of anwers which can earn the candidate a score from the set {15, 16,17,18, 19, 20}.

There are 15 tickets in a box, each bearing one of the numbers from 1 to 15. One ticket is drawn at random from the box. Find the probability of event that the ticket drawn - shows a number which is a multiple of 5.

There are 15 tickets in a box, each bearing one of the number from 1 to 15. One ticket is drawn at random from the box. Find the probability of event that the ticket drawn - shows a nubmer which is a multiple of 5.

An observer observes two moving trains, one reaching the station and other leaving the station with equal speeds of 8 ms^(-1) . If each train sounds its whistles with frequency 240 Hz, then calculate the number of beats heard by the observer.

Two trains leave a railway station at the same time. The first train travelsdue west and the second train due north. The first train travels 5 km/hr faster than second train. If after two hours, they are 50 km apart, find the speed of each train.

In a class tournament, all participants were to plan different game with one another. Two players fell ill after having played three games each. If the total number of games played in the tournament is equal to 84, the total number of participants in the beginning was equal to a. 10 b. 15 c. 12 d. 14