JEE MAIN - Mathematics Hindi (2024 - 27th January Evening Shift - No. 16)
माना $$\alpha=\frac{(4 !) !}{(4 !)^{3 !}}$$ तथा $$\beta=\frac{(5 !) !}{(5 !)^{4 !}}$$ हैं। तो :
$$\alpha \in \mathbf{N}$$ तथा $$\beta \in \mathbf{N}$$
$$\alpha \in \mathbf{N}$$ तथा $$\beta \notin \mathbf{N}$$
$$\alpha \notin \mathbf{N}$$ तथा $$\beta \in \mathbf{N}$$
$$\alpha \notin \mathbf{N}$$ तथा $$\beta \notin \mathbf{N}$$
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