Consider the following statements
I : The number of non-trivial even divisors of the number \(2^{\alpha_1} 3^{\alpha_2} 4^{\alpha_3} 5^{\alpha_4} 6^{\alpha_5}\), is \(\left(\alpha_1+1\right)\left(\alpha_2+1\right)\left(\alpha_3+1\right)\left(\alpha_4+1\right)\left(\alpha_5+1\right)-2\)
II : The number of non-trivial odd divisors of the number \(2^{\alpha_1} \cdot 3^{\alpha_2} \cdot 4^{\alpha_3} \cdot 5^{\alpha_4} \cdot 6^{\alpha_5}\), is \(\alpha_2+\alpha_4+\alpha_5+\alpha_2 \alpha_4+\alpha_4 \alpha_5\). Then

1. A I is false and II is false
2. B I is true and II is true
3. C I is false and II is true
4. D I is true and II is false