Order Buttons In A JPanel

I'm learning the swing options of Java, and my first exercise was the typical Chat Room. I got everything right: TextField, TextArea, the jpanel at left side and the buttons inside of it. BUT I can't order the 2 buttons (1 north, 1 south). I've already looked for answers, but didn't find anything and I tried to asked the teacher, but she was too lazy to look for the error. Here is my code:

f=new JFrame("Chat Room");
b1=new JButton("Send");
b2=new JButton("Emoticons");
public void showWindow(){
p1=new JPanel();
f.getContentPane().add(p1,BorderLayout.EAST);
p1.add(b1,BorderLayout.NORTH);
p1.add(b2,BorderLayout.SOUTH);
}