Out of 8 different bicycle companies, a student likes to choose bicycle from three companies. Find out in how many ways he can choose the companies to buy bicycle.

In how many ways can 5 different books be tied up in three bundles?

From a class of 25 students, 10 are to be chosen for an excursion party. There are 3 students who decide that either all of them will join or none of them will join. In how many ways can the excursion party be chosen ?

A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions . The number of choices available to him is :

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

Suppose a company needs a computer for some period of time. The company can either hire a computer for Rs. 2,000 per month or buy one for Rs 25,000. If the company has to use the computer for a long period, the company will pay such a high rent, that buying a computer has to use the computer will be cheaper. Find the number of months beyond which it will be cheaper to buy a computer.

In how many ways can a student choose a programme of 5 course if 9 courses are available and 2 courses are compulsory for every student ?

What is the number of ways of choosing 4 cards from a pack of 52 cards ? In how many of these Four cards are of same suit

What is the number of ways of choosing 4 cards from a pack of 52 cards ? In how many of these Four cards are face cards

What is the number of ways of choosing 4 cards from a pack of 52 cards ? In how many of these Two cards are red cards and two are black cards.

There are four bus routes between And B , and three bus routes between B and C. A man can travel round - trip in number of ways by bus from A and C via B . If he does not want to use a bus route more than once ,in how many ways can he make round trip ?