What is the number of ways in which an examiner can assign 10 marks to 4 questions, giving not less than 2 marks to any question?

In a 12 storied building, 3 persons enter a lift cabin. It is known that they will leave the lift at different floors. In how many ways can they do so if the lift does not stop at the second floor?

If the total number of m-element subsets of the set A = {a₁, a₂, ..., a_n} is k times the number of m element subsets containing a₄, then n is

A candidate is required to answer 6 out of 12 questions which are divided into two parts A and B, each containing 6 questions and he/she is not permitted to attempt more than 4 questions from any part. In how many different ways can he/she make up his/her choice of 6 questions?