There are more atoms in a glass of water than there are glasses of water in the oceans, lakes, and seas on this earth.
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"Ionic Bonding" and "Covalent Bonding" are not discrete categories, but rather the extremes of a continuum. In high school, a line is usually drawn somewhere down the middle of the continuum, with compounds on one side labeled "ionic" and on the other "covalent."
Basically, even in the most "ionic" compound (NaCl, for example), there is still some sharing of electrons, while any "covalent" compound that is not homonuclear (O2) experiences coulombic attraction ("ionic bonding") due to differences in the atoms' electronegativities.
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