Originally Posted by **skhan**

A general is planning to invade towns A, B, C and has 20 soldiers at his disposal (6 officers and 14 privates). After some thought, the general decides to select 12 soldiers to carry out the invasion and to keep the remaining 8 (and himself) behind to protect the command post. If the general takes 12 selected soldiers (3 officers and 9 privates), and randomly selects 4 soldiers w/o replacement, to invade towns A, B, C, what is the probability that exactly one officer ends up being sent to each town?

ANS: 0.2909

i dont think hes sending the same soldier again because in the original 12 he has 3 officers and 9 privares and then he choose 4 soldiers from the original 12 which could be offciers and/or privates...right?