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# Discrete Maths : Nuclear Quiz 1

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Question 1

Power set of empty set has exactly ____ subset.

Question 2

How many subsets of {1, 2, 3 … 11} contain at least one even integer?

Question 3

How many relations on a set with 3 elements are neither reflexive nor irreflexive _________?

Question 4

What is the total number of reflexive relations on a set containing 3 elements.

Question 5

Consider the following statements :
S1 : The number of relations that are both reflexive and asymmetric is 0.
S2 : The number of relations that are both symmetric and asymmetric is 0.
Which option is correct?

Question 6

The relation {(1,2), (1,3), (3,1), (1,1), (3,3), (3,2), (1,4), (4,2), (3,4)} is

Question 7

Consider the function f(x) = 3x mod 5 where f: {0, 1, 2, 3, 4} → {0, 1, 2, 3, 4}. The function f is _____

Question 8

Let A be a finite set having x elements and let B be a finite set having y elements. What is the number of distinct functions mapping B into A.

Question 9

The function f:[0,3]→[1,29] defined by f(x)=2x3−15x2+36x+1 is

Question 10

Set A has  elements and set B has elements. The number of injections that can be defined from A to B is,
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