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Advance Math

6. Let A = {1, 2, 3, 4} and B = {5, 6, 7}. Let f = {(1, 5),(2,5),(3, 6),(x, y)} where x ? A and y ? B are to be determined byyou. (a) In how many ways can you pick x ? A and y ? B such that fis not a function? (b) In how many ways can you pick x ? A and y ?B such that f : A ? B is onto? (c) In how many ways can you pick x? A and y ? B such that f : A ? B is not

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a For f not to be a function we have to ensure that f has more than one image for some point in A Now the images of 12 and 3 are defined So if we take x4 then whatever y is f will always    See Answer
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