The Grammar club has 20 members: 10 boys and 10 girls. A 4-person committee is chosen at random. What is the probability that the committee has at least 1 boy and at least 2 girls?
The four-person subcommitte could have:
2 boys and 2 girls: 10C2 x 10C2
1 boy and 3 girls: 10C1 x 10C3
Find each of the two products and add them togehter.