You can figure out how many slots are left by using the formula tha the boards use. It's all very scientific.
G == Recruiting goal of the community
A == Approximate size of applicant pool.
R == Estimated attrition rate
C == speed of light
M == current month of fiscal year
D == the last time all of the board members had a good stiff drink
T == telephone number of a local chineese restaurant that delivers
What they do is combine these variables, using the formula:
G / (A*R) ^ C + M/D = P, P being the "magic number". Once they have P, they dial T and order lunch, and complain amongst themselves that D is getting too high. Once they've satisfied both D and T, they throw P out the window and pick people with minimal if any regard to stated quotas or standards of logic.