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 3 new workers. How many different ways can she assign the new workers? Choose the correct choice from the following answers:  A) 2430  B) 2640  C) 3300  D) 4860  E) 5400
whatever : my take selecting team of 3 out of 12 to assign to the shifts = 12C3 = 220 ways.   now 3 out of 12 means total of 4 group possible.   so putting them in shifts = counting methode: first, second, third, alt , alt   = 4*3*2*1= 
<gadget id="calculator">4*3*2*1</gadget>
<output>24</output>
24   here alt and alt are the same: so  24/2= 
<gadget id="calculator"> 24/2</gadget>
<output>12</output>
12 ways.   total ways of selecting= (selecting 3 out of 12)*arranging those teams in shifts   = 220*24 = 2640   Ans: 2640
<result>B</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 3 new workers. How many different ways can she assign the new workers?