A baseball coach is choosing 9 players out of 14 to start the game today. He considers 8 of his players to be better hitters than fielders and 6 of his players to be better fielders or pitchers than hitters. If he wants to choose 6 hitters and 3 defensive players (those better at fielding or pitching), how many starting lineups are possible?	Choose the correct choice from the following answers
A) 480	B) 500	C) 520	D) 540	E) 560
(8c6)*(6c3)   [8!/(6!*2!)]*[6!/(3!*3!)]   28*20   560   560
<result>E</result>
A baseball coach is choosing 9 players out of 14 to start the game today. He considers 8 of his players to be better hitters than fielders and 6 of his players to be better fielders or pitchers than hitters. If he wants to choose 6 hitters and 3 defensive players (those better at fielding or pitching), how many starting lineups are possible?