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