A plant manager must assign 8 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 the correct answer.
A) 243	B) 336	C) 350	D) 486	E) 540
whatever : my take selecting team of 2 out of 8 to assign to the shifts = 8C2 = 28 ways.   now 2 out of 8 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 2 out of 8)*arranging those teams in shifts   = 28*12= 
<gadget id="calculator">28*12</gadget>
<output>336</output>
336   Ans: 336
<result>B</result>
A plant manager must assign 8 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?