Let $S=\left{x:x\in R\text{and }(\sqrt{3}+\sqrt{2}{)}^{{x}^{2}-4}+(\sqrt{3}-\sqrt{2}{)}^{{x}^{2}-4}=10\right}$. Then $n(S)$ is equal to [JEE Main 2023, 1 Feb (Shift 1)]

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Let \(S=\left{x:x\in R\text{and }(\sqrt{3}+\sqrt{2}{)}^{{x}^{2}-4}+(\sqrt{3}-\sqrt{2}{)}^{{x}^{2}-4}=10\right}\). Then \…

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