Sets, Relations & Functions · Number of onto functions

Consider two sets

A = \{x \in \mathbb{Z} : \lvert(\lvert x - 3\rvert - 3)\rvert \le 1\}

and

B = \left\{x \in \mathbb{R} - \{1, 2\} : \dfrac{(x-2)(x-4)}{x-1}\log_e(\lvert x - 2\rvert) = 0\right\}.

Then the number of onto functions

f : A \to B

is equal to:

We corrected a printing error in the original paper

Source printed “ $x \in z$ ” (lower-case z) for the set of integers.

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