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 4 new workers. How many different ways can she assign the new workers?  Choose the most appropriate option: A) 1485 B) 2700 C) 3300 D) 4860 E) 5400
whatever : my take selecting team of 4 out of 12 to assign to the shifts = 12C4 = 495 ways.   now 4 out of 12 means total of 3 group possible.   so putting them in shifts = counting methode: first, second, third,   = 3*2*1= 
<gadget id="calculator">3*2*1</gadget>
<output>6</output>
6   here alt and alt are the same: so  6/2= 
<gadget id="calculator"> 6/2</gadget>
<output>3</output>
3 ways.   total ways of selecting= (selecting 4 out of 12)*arranging those teams in shifts   = 495*3= 
<gadget id="calculator">495*3</gadget>
<output>1_485</output>
1485   1485ns: 1485
<result>A</result>
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 4 new workers. How many different ways can she assign the new workers?