The number of ways, in which 16 oranges can be distributed to four children such that each child gets at least one orange, is

The largest $n \in \mathbb{N}$, for which $7^n$ divides $101!$, is :

The number of strictly increasing functions $f$ from the set $\{1,2,3,4,5,6\}$ to the set $\{1,2,3, \ldots ., 9\}$ such that $f(i) \neq i$ for $1 \leq i \leq 6$, is equal to :

There are 12 points in a plane, no three of which are in the same straight line, except 5 points which are collinear. Then the total number of triangles that can be formed with the vertices at any three of these 12 points is