निम्नलिखित विकल्पों

In how many different ways can the letters of the word ‘VARIOUS’  be arranged in such a way that the vowels occupy only the odd positions?

In how ways can the selection be made so that a particular member is always included?

Out of 6 men and 3 women a committee of 3 members is to be formed so that it has 2 men and 1 woman. In how many different ways can this be done?

How many four-letter words without repetition having exactly two vowels can be formed by using the letters of the word "SEMINAR"?

How many numbers of five digits may be formed with the digits 5, 0, 9, 0, and 6?

In How many ways can a student choose a program of 5 courses, if 9 courses are available and 2 courses are compulsory for every student?

History books are never together.

In a party 19 persons shake hands with every other person. Find the total no of handshakes in the party?       

Among a set of 6 black balls and 3 white balls, how many selections of 5 balls can be made such that at least 3 of them are black balls?