MCA Entrance Previous Year Question Bank

9 balls are to be placed in 9 boxes and 5 of the balls cannot fit into 3 small boxes. The number of ways of arranging one ball in each of the boxes is

If $\frac{n!}{2!(n-2)!}$ and $\frac{n!}{4!(n-4)!}$ are in the ratio $2:1$, then the value of $n$ is:

In an examination of nine papers, a candidate has to pass in more papers than the number of papers in which he fails in order to be successful. The number of ways in which he can be unsuccessful is

The number of 3-digit integers that are multiples of $6$ which can be formed by using the digits $\{1,2,3,4,5,6\}$ without repetition is: