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borishaifa [10]
3 years ago
6

35. A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard sh

ift. A quality control consultant is to select 6 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 6 workers has the same chance of being selected as does any other group (drawing 6 slips without replacement from among 45). a. How many selections result in all 6 workers coming from the day shift
Mathematics
1 answer:
den301095 [7]3 years ago
3 0

Answer:

38760 selections result in all 6 workers coming from the day shift.

Step-by-step explanation:

The order in which the workers are chosen is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

a. How many selections result in all 6 workers coming from the day shift:

20 workers are employed on the day shift, so this is a combination of 6 from a set of 20.

C_{20,6} = \frac{20!}{6!(20-6)!} = 38760

38760 selections result in all 6 workers coming from the day shift.

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