Two points $(2,3)$ and $(3,2)$ are:

Two points $(2,3)$ and $(3,2)$ are:
  1. The same point
  2. Different points
  3. Both on the $x$-axis
  4. Both on the $y$-axis

Solution

An ordered pair is determined by the order of its entries. $(2,3)$ has abscissa $2$ and ordinate $3$, while $(3,2)$ has abscissa $3$ and ordinate $2$, so they are different points.

Asked in: IMO

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