Bunuel wrote:
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?
A. 2430
B. 2700
C. 3300
D. 4860
E. 5400
I do not even understand the question...
five shifts and she has 10 workers to assign. She needs first, second and third, and two alternate... what does this line means??
is it means that we need to assign two workers to these shifts or team of two? i am going with the later one.
whatever : 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 = 120
here alt and alt are the same: so 120/2 = 60 ways.
total ways of selecting = (selecting 2 out of 10)*arranging those teams in shifts
= 45*60 = 2700
Ans: B
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