Permutations And Combinations - Algebra - Mathematics Previous Year Questions

An urn contains 5 red marbles, 4 black marbles and 3 white marbles. Then the number of ways in which 4 marbles can be drawn so that at the most three of them are red is

There are 50 intermediate stations on a railway line from one terminus to another. The number of ways a train can stop at 3 of these intermediate stations if no two of these stopping stations are to be consecutive, are

Out of 9 consonants and 4 vowels, how many words of 4 consonants and 3 vowels can be formed?

The sum of all the numbers of four different digits that can be made using the digits 0, 1, 2 and 3 is

6 couples decided to form a committee of four members, the number of different committees that can be formed in which no couple finds place is

If 6 letter words, with or without meaning can be formed out of these letters of the word "MATHEMATICS", repetition of letters is not allowed is $960 P$. Then, ' $P$ ' equals