MCA Entrance Previous Year Question Bank

The number of functions $f$ from the set $A=\{0,1,2\}$ into the set $B=\{0,1,2,3,4,5,6,7\}$ such that $f(i)\le f(j)$ for i < j and $i,j\in A$ is:

If $42{(}^n{P}_2)={}^n{P}_4$, then the value of $n$ is:

In how many different ways can the letters of the word “DETAIL” be arranged in such a way that the vowels occupy only the odd positions?

The total number of numbers that can be formed by using the digits $5,3$ and $7$ only, if no repetitions are allowed, is:

The number of non-negative integers less than $1000$ that contain the digit $1$ are:

In how many different ways can the letters of the word "CORPORATION" be arranged so that all the vowels always come together?

Let $T_n$ denote the number of triangles which can be formed by using the vertices of a regular polygon of $n$ sides. If $T_{n+1}-T_n=21$, then $n$ equals:

How many even integers between $4000$ and $7000$ have four different digits?

There are $8$ students appearing in an examination of which $3$ have to appear in Mathematics paper and the remaining $5$ in different subjects. Then, the number of ways they can be made to sit in a row, if the candidates in Mathematics cannot sit next to each other is:

The number of ways to arrange the letters of the English alphabet, so that there are exactly 5 letters between $a$ and $b$, is: