- anonymous

Night engineers are going on an energy assessment in 3 cars that hold 2, 3, and 4 passengers,
respectively. In how many ways is it possible to transport the 9 engineers to the
manufacturing facility, using all cars?

- katieb

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- anonymous

what?

- anonymous

9C3 =
. 9!
------- =
6! 3!
9 x 8 x 7
------------- = 84 <==ANSWER
3 x 2 x 1
I hope that helps!! :-)

- anonymous

okay thats what i thought can you help me with one other problems?

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## More answers

- anonymous

sure if i can figure it out

- anonymous

A construction company employs two sales engineers, John and Meghan. John does the work
of estimating cost for 70% of the jobs bid by the company. Meghan does the work for 30% of
the jobs bid by the company. It is known that the error rate for John is such that 0.02 is the
probability of an error when he does the work, whereas the probability of an error in the work
of Meghan is 0.04. Suppose the bid arrives and a serious error occurs in estimating cost.
Which engineer would you guess did the work? Explain and show work.

- anonymous

if u can that would be great!

- anonymous

why is it \(\binom{9}{3}\) ?

- anonymous

@satellite73 what bro ?

- anonymous

pretty sure that is not right

- anonymous

i guess but i m just trying to help -_-

- anonymous

you have \(9\) people to order in groups of 2, 3, and 4
i am fairly sure that the number of ways to do this is
\[\frac{9!}{2!3!4!}\]

- anonymous

hey no problem, i just don't think "9 choose 3" is the right way to solve it

- anonymous

you have \(9!\) ways to order the people then divide by the number of ways to permute the people in each car

- anonymous

also notice that the "9 choose 3" approach ignores completely the number of people in each car

- anonymous

ooooo i see cause it has to be either 2 groups or 3 or 4... if it was just random groups then it could be 9 chose 3?

- anonymous

i got it too satellite73 is correct my bad -_-

- anonymous

9 choose 3 has really nothing to do with this problem
it is the way to choose 3 things from a set of 9

- anonymous

it all comes from the counting principle |dw:1378173059624:dw|

- anonymous

would you be able to help me with another difficult problem satellite or rushal? A construction company employs two sales engineers, John and Meghan. John does the work
of estimating cost for 70% of the jobs bid by the company. Meghan does the work for 30% of
the jobs bid by the company. It is known that the error rate for John is such that 0.02 is the
probability of an error when he does the work, whereas the probability of an error in the work
of Meghan is 0.04. Suppose the bid arrives and a serious error occurs in estimating cost.
Which engineer would you guess did the work? Explain and show work.

- anonymous

this is probably easiest if you do it with numbers
lets imagine there are 1000 jobs total

- anonymous

700 are done by john, 300 by meghan

- anonymous

\(.02\times 700=14\) mistakes are made by john
and \(.04\times 300=12\) by meghan

- anonymous

so it is pretty damned close, but john makes more mistakes

- anonymous

yea i wasnt quite sure what to do with the numbers but that makes sense since its a rate in in units work/ mistake

- anonymous

can we do one more proeblem... sorry i keep asking but these few have been bothering me

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