A plant manager must assign 6 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 most appropriate option
A) 24
B) 27
C) 33
D) 45
E) 54
whatever : my take selecting team of 2 out of 10 to assign to the shifts =6C2 = 15 ways.   now 2 out of 10 means total of 3 group possible.   so putting them in shifts = counting methode: first, second, third, alt , alt   = 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 2 out of 6)*arranging those teams in shifts   = 15*3= 
<gadget id="calculator">15*3</gadget>
<output>45</output>
45   Ans: 45
<result>D</result>
A plant manager must assign 6 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?