Let A={1,2,3} and B={4,5,6}. Which one of the following functions is bijective?(a) f={(2,4),(2,5),(2,6)}(b) f={(1,5),(2,4),(3,4)}(c) f={(1,4),(1,5),(1,6)}(d) f={(1,4),(2,5),(3,6)}I had been asked this question during an interview.Question is taken from Types of Functions topic in chapter Relations and Functions of Mathematics – Class 12

Let A={1,2,3} and B={4,5,6}. Which one of the following functions is b

1.	Let A={1,2,3} and B={4,5,6}. Which one of the following functions is bijective?(a) f={(2,4),(2,5),(2,6)}(b) f={(1,5),(2,4),(3,4)}(c) f={(1,4),(1,5),(1,6)}(d) f={(1,4),(2,5),(3,6)}I had been asked this question during an interview.Question is taken from Types of Functions topic in chapter Relations and Functions of Mathematics – Class 12
Answer» Right OPTION is (d) f={(1,4),(2,5),(3,6)} The explanation is: f={(1,4),(2,5),(3,6)} is a bijective function. One-one: It is a one-one function because EVERY element in set A={1,2,3} has a DISTINCT image in set B={4,5,6}. Onto: It is an onto function as every element in set B={4,5,6} is the image of some element in set A={1,2,3}. f={(2,4),(2,5),(2,6)} and f={(1,4),(1,5),(1,6)} are many-one onto. f={(1,5),(2,4),(3,4)} is NEITHER one – one nor onto.

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