Suppose 50 socks lie in a drawer. Each one is either white or black, ankle-high or knee-high, and either has a hole or does not. 22 socks are white, 4 of these have a hole, and 1 of these 4 is knee-high. 10 white socks are knee-high, 10 black socks are knee-high, and 5 knee-high socks have a hole. Exactly 3 ankle-high socks have a hole.

a. Determine the number of black, ankle-high socks with no holes.
b. Draw a Venn diagram that shows the number of socks with each combination of characteristics.