Number of onto function from Set A to Set B: There are 3 elements in set B, all these elements need to be mapped to some element in set A. For a function to exist every element of the domain has a unique value. a of Set B can be mapped to any of the 5 elements of Set A b of Set B can be mapped to any of the other 4 elements in Set A and c of Set B can be mapped to any of the other 3 elements in Set A Thus the number of onto functions that can be obtained is 5*4*3=60 Number of onto function from Set B to Set A: There are 5 elements in Set A whereas there are only 3 elements in Set B, which effectively means only 3 elements of Set A at the max can be mapped to Set B. For a function to exist every element of the domain has a unique value. Thus no onto function can be defined from set B to Set A Correct Answer: None of the above.
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