Consider functions where the domain is {1,} and the range is {a, b} (a) how many of these functions are there? [hint: if at least one of its inputs is assigned to a different output. how many different outputs are possible for the input 1? what about for the input 2? ] a function is considered different
(b) how many of these functions are onto? hint: take your answer to part (a), and subtract the number of functions that are not onto.]