Twenty mice, ten male and ten female live in a house. The resident cat, Tom, is bored and decides to capture 7 of the mice. You may assume that Tom is equally likely to encounter any of the remaining mice at any point.

a) What is the chance that the first 3 mice he captures are female and the last 4 are male?

b) What is the chance the first 2 and last 2 mice he captures are male, with 3 female mice in between?

c) What is the chance that Tom captures 4 male and 3 female mice in total?