JEE Math Practice Question
Let $$\alpha=\frac{(4 !) !}{(4 !)^{3 !}}$$ and $$\beta=\frac{(5 !) !}{(5 !)^{4 !}}$$. Then :
- A.$$\alpha \in \mathbf{N}$$ and $$\beta \in \mathbf{N}$$
- B.$$\alpha \in \mathbf{N}$$ and $$\beta \notin \mathbf{N}$$
- C.$$\alpha \notin \mathbf{N}$$ and $$\beta \in \mathbf{N}$$
- D.$$\alpha \notin \mathbf{N}$$ and $$\beta \notin \mathbf{N}$$
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