A soccer coach is preparing his starting lineup of 11 players chosen from 15 players. He considers 8 of his players good at defense and 7 of his players good at offense. If he wants to pick 6 players best at defense and 5 players best at offense, how many different ways can he do this? Choose the correct answer
A) 264  B) 328  C) 460  D) 588  E) 642
(8c6)*(7c5)   [8!/(6!*2!)]*[7!/(5!*2!)]   28*21   588   588
<result>D</result>
A soccer coach is preparing his starting lineup of 11 players chosen from 15 players. He considers 8 of his players good at defense and 7 of his players good at offense. If he wants to pick 6 players best at defense and 5 players best at offense, how many different ways can he do this?