A committee is to be chosen from a group of 11 women and 14 men. How many ways can they select a president, treasurer, and secretary, if the treasurer and secretary must be females? No person can serve in more than one position.

Answer 1

case 1 -- the president is a man
C(14,1) x C(11,1) x C(10,1)
= 14x11x10 = 1540

case 2 -- the president is a woman
C(11,1) x C(10,1) x C(9,1) = 990

Number of possible committees = 1639