The offices of president, vice president, seceretary, and treasurer for a club will be filled from a pool of 12 candidates. Five of them are members of the debate team. What is the probability that all the offices are filled by memebers of the debate team?

Answer 1

5/12*4/11*3/10*2/9

or: 5!(12-5)!/(12!(5-4)!)

Answer 2

567