How many solutions are there to the equation
$$x\_1 + x\_2 + x\_3 + x\_4 + x\_5 + x\_6 = 29$$
where $x\_i , i = 1, 2, 3,4,5, 6$ are nonnegative integers such
that

a) $x\_i > 1$ for $i = 1, 2, 3, 4, 5, 6$?

c) $x\_1 \le 5$?