Consider the following statements :

I : The number of positive integral solutions of x₁ + x₂ + x₃ + x₄ = 10 is 286 

II : If 25! =10^N × k, (k $\in$N) then n =6

Which one of the following options is true

I :The number of positive integral solutions of x₁ + x₂ + x₃ + x₄ =  10  is  ${}^{(10-1)}C_{4-1}={}^{9}C_3=84$

$\therefore$I is false 

II : Exponent of 2 in 25! $=\left[\frac{25}{2}\right]+\left[\frac{25}{2^2}\right]+\left[\frac{25}{2^3}\right]+\left[\frac{25}{2^4}\right]=12+6+3+1=22$

Exponent of 5 in 25! $=\left[\frac{25}{5}\right]+\left[\frac{25}{5^2}\right]=5+1=6$

$25!={10}^{n}k\Rightarrow$minimum of (22,6) = 6. $\therefore$ II is true.