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Question Id : 13310 | Context : JEE Main 2023 (1 February Morning Shift)
Let $S=\left\{x:\ x\in\mathbb{R}\ \text{and}\ (\sqrt{3}+\sqrt{2})^{\,x^{2}-4}+(\sqrt{3}-\sqrt{2})^{\,x^{2}-4}=10\right\}$. Then $n(S)$ is equal to:

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