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

Question:

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

Solution:

Range of f = {a}
So, the number of images of  = 1
Since, f  is an injection, there will be exactly one image for each element of f .
So, number of elements in A = 1.

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