Discrete Mathematics Counting Functions Online Exam Quiz
Discrete Mathematics Counting Functions GK Quiz. Question and Answers related to Discrete Mathematics Counting Functions. MCQ (Multiple Choice Questions with answers about Discrete Mathematics Counting Functions
Set A has 3 elements and set B has 4 elements then number of injections defined from A to B are?
Options
A : 12
B : 24
C : 36
D : 48
A mapping f : X ? Y is one one if __________
Options
A : f(x1) ? f(x2) for all x1, x2 in X
B : If f(x1) = f(x2) then x1 = x2 for all x1, x2 in X
C : f(x1) = f(x2) for all x1, x2 in X
D : None of the mentioned
An injection is a function which is?
Options
A : many-one
B : one-one
C : onto
D : none of the mentioned
A function is defined by mapping f : A ? B such that A contains m elements and B contains n elements and m ? n then number of one one functions are _________
Options
A : nCm x m!
B : nCm x n!
C : 0
D : none of the mentioned
A function is defined by mapping f : A -> B such that A contains m elements and B contains n elements and m>n then number of one one functions are ________
Options
A : nCm x m!
B : nCm x n!
C : 0
D : none of the mentioned
A function is defined by mapping f:A?B such that A contains m elements and B contains n elements and m > n then number of bijections are ________
Options
A : nCm x m!
B : nCm x n!
C : 0
D : none of the mentioned
A function is defined by mapping f : A ? B such that A contains m elements and B contains n elements and 1?n?m then number of onto functions are ________
Options
A : r=1?r=nnCr (-1)n-r rm
B : r=1?r=nnCr (-1)n-r rn
C : r=1?r=nnCr (-1)m-r rn
D : None of the mentioned
For an onto function range is equivalent to codomain.
Options
A : True
B : False
C :
D :
A bijection is a function which is many-one and onto.
Options
A : True
B : False
C :
D :
Onto function are known as injection.
Options
A : True
B : False
C :
D :
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