1
GATE CSE 2002
MCQ (Single Correct Answer)
+1
-0.3
The minimum number of colors required to color the vertices of a cycle with $$n$$ nodes in such a way that no two adjacent nodes have the same colour is:
A
$$2$$
B
$$3$$
C
$$4$$
D
$$n - 2\left[ {n/2} \right] + 2$$
2
GATE CSE 2002
MCQ (Single Correct Answer)
+1
-0.3
The rank of the matrix$$\left[ {\matrix{ 1 & 1 \cr 0 & 0 \cr } } \right]\,\,is$$
A
4
B
2
C
1
D
0
3
GATE CSE 2002
MCQ (Single Correct Answer)
+1
-0.3
Maximum number of edges in a n - node undirected graph without self loops is
A
$${n^2}$$
B
$$n\left( {n - 1} \right)/2$$
C
$$n - 1$$
D
$$\left( {n + 1} \right)\left( n \right)/2$$
4
GATE CSE 2002
Subjective
+5
-0
Let $$A$$ be a set of $$n\left( { > 0} \right)$$ elements. Let $${N_r}$$ be the number of binary relations on $$A$$ and Let $${N_r}$$ be the number of functions from $$A$$ to $$A$$.
(a) Give the expression for $${N_r}$$ in terms of $$n$$.
(b) Give the expression for $${N_f}$$ in terms of $$n$$.
(c) Which is larger for all possible $$n, $$ $${N_r}$$ or $${N_f}$$?
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12