MCA Entrance Previous Year Question Bank

Using the digits 1, 5, 2, 8 all possible four digit numbers are formed and the sum of all such numbers is between:

Twelve villages in a district are divided into 3 zones with 4 villages per each zone. The telephones department of the district intends to connect the villages with telephone lines such that every two villages in the same zone are connected with three direct lines and every two villages belonging to different zones are connected with two direct lines. How many direct lines are required?

The number of one-to-one functions from $\{1,2,3\}$ to $\{1,2,3,4,5\}$ is:

The number of different license plates that can be formed in the format 3 English letters ($A,\dots ,Z$) followed by 4 digits ($0,1,\dots ,9$) with repetitions allowed in letters and digits is equal to:

The number of words that can be formed by using the letters of the word 'MATHEMATICS' that start as well as end with $T$ is:

The number of ways of forming different nine digit numbers from the number 223355888 by rearranging its digits, so that the odd digits occupy even positions is:

Number of three digit numbers that can be formed using 0, 1, 2, 3 and 5 where these digits are allowed to repeat any number of times, is equal to

The number of one-one function

$f:\{1,2,3\}\to \{a,b,c,d,e\}$ is

There are 9 bottle labelled 1,2,3……..9 and 9 boxes labelled 1,2,3,…..9. The number of ways one can put these bottles in the boxes so that each box gets one bottle and exactly 5 bottles go in their corresponding numbered boxes is