JEE Main & Advanced
Mathematics
Functions
Question Bank
Self Evaluation Test - Relation and Functions-II
question_answer
Let \[A=\{1,2,3\}\] and \[B=\{a,b,c\}.\] If f is a function from A to B and g is a one-one function from A to B, then the maximum number of definitions of
A)f is 9
B)g is 9
C)f is 27
D)g is 16
Correct Answer:
C
Solution :
[c] Number of definitions = Number of mapping from A to B \[=3\times 3\times 3=27.\]