A plant manager must assign 10 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 choice from the following choices:
A) 2430
B) 2700
C) 3300
D) 4860
E) 5400
my take selecting team of 2 out of 10 to assign to the shifts = 10C2 = 45 ways.   now 2 out of 10 means total of 5 group possible.   so putting them in shifts = counting methode: first, second, third, alt , alt   = 5*4*3*2*1= 
<gadget id="calculator">5*4*3*2*1</gadget>
<output>120</output>
120   here alt and alt are the same: so  120/2= 
<gadget id="calculator"> 120/2</gadget>
<output>60</output>
60 ways.   total ways of selecting= (selecting 2 out of 10)*arranging those teams in shifts   = 45*60= 
<gadget id="calculator">45*60</gadget>
<output>2_700</output>
2700   Ans: 2700
<result>B</result>
A plant manager must assign 10 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?