A plant manager must assign 12 new workers to one of five shifts. She needs a first, second, and third shift, and two alternate shifts. Each of the shifts will receive 2 new workers. How many different ways can she assign the new workers?	Choose one
A) 23760
B) 47520
C) 33000
D) 48600
E) 54000

Rationale: "whatever : my take selecting team of 2 out of 12 to assign to the shifts = 12 c 2 = 66 ways . now 2 out of 12 means total of 6 group possible . so putting them in shifts = counting methode : first , second , third , alt , alt = 6 * 5 * 4 * 3 * 2 * 1 = 720 here alt and alt are the same : so 720 / 2 = 360 ways . total ways of selecting = ( selecting 2 out of 12 ) * arranging those teams in shifts = 66 * 360 = 23760 ans : a"
Answer: A