1.

If f: A → B is an injection, such that range of f = {a}, determine the number of elements in A.

Answer»

Given that f: A → B is an injection

And also given the range of f = {a}

Therefore, the number of images of  f = 1

Since, f  is an injection, there will be exactly one image for each element of f .

Therefore, number of elements in A = 1.



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