How many elements are in the set { 0, { { 0 } }?

How many elements are in the set { 0, { { 0 } }?
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The set is in set-rooster notation. So, 0,{0} are the elements in the set {0,{0}}.
As 0 is an element in {0} and {0} is a set for itself, both are not same. That is, 0 $\ne \left\{0\right\}$.
Therefore, 0 and {0} are two different elemetns for the corresponding set {0,{0}}.
Hence, there are 2 elements in the set {0,{0}}