1
GATE CSE 1998
+1
-0.3
The number of functions from an $$m$$ element set to an $$n$$ element set is
A
$$m + n$$
B
$${m^n}$$
C
$${n^m}$$
D
$$m * n$$
2
GATE CSE 1997
+1
-0.3
The number of equivalence relations on the set $$\left\{ {1,2,3,4} \right\}$$ is
A
$$15$$
B
$$16$$
C
$$24$$
D
$$4$$
3
GATE CSE 1996
+1
-0.3
Let $$X$$ $$X = \left\{ {2,3,6,12,24} \right\}$$. Let $$\le$$ the partial order defined by $$x \le y$$ if $$x$$ divides $$y$$. The number of edges in the Hasse diagram of $$\left( {X, \le } \right)$$ is
A
$$3$$
B
$$4$$
C
$$9$$
D
None of the above
4
GATE CSE 1996
+1
-0.3
Suppose $$X$$ and $$Y$$ are sets and $$\left| X \right|$$ and $$\left| Y \right|$$ are their respective cardinalities. It is given that there are exactly 97 functions from $$X$$ to $$Y$$. From this one can conclude that
A
$$\left| X \right| = 1,\,\,\,\,\,\,\,\,\,\left| Y \right| = 97$$
B
$$\left| X \right| = 97,\,\,\,\,\,\,\,\,\,\left| Y \right| = 1$$
C
$$\left| X \right| = 97,\,\,\,\,\,\,\,\,\,\left| Y \right| = 97$$
D
None of the above
GATE CSE Subjects
Discrete Mathematics
Programming Languages
Theory of Computation
Operating Systems
Digital Logic
Computer Organization
Database Management System
Data Structures
Computer Networks
Algorithms
Compiler Design
Software Engineering
Web Technologies
General Aptitude
EXAM MAP
Joint Entrance Examination