Problem #1: A librarian is arranging some books on a straight shelf....

snake1k1

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A librarian is arranging some books on a straight shelf. She has 8 identical Mathematics books, 6 different Physics books, 10 different novels and 9 identical Accounting books. Where appropriate express your answer in scientific notation.

(a) How many distinguishable ways can the books be arranged on the shelf?
(b) How many distinguishable ways can the books be arranged on the shelf if the Physics books are together and the Mathematics are together?
(c) What is the probability that there will be novels at each end of the shelf?

The librarian randomly chooses 3 Mathematics books, 2 Physics books, 4 novels and 5 Accounting books.

(d) How many distinguishable ways can the books be arranged if they are put on a circular shelf?

(e) What is the probability if the books are randomly put on a circular shelf that none of the Physics books are next to each other? (No two books can be side by side.)
 
A librarian is arranging some books on a straight shelf. She has 8 identical Mathematics books, 6 different Physics books, 10 different novels and 9 identical Accounting books. Where appropriate express your answer in scientific notation.

(a) How many distinguishable ways can the books be arranged on the shelf?
(b) How many distinguishable ways can the books be arranged on the shelf if the Physics books are together and the Mathematics are together?
(c) What is the probability that there will be novels at each end of the shelf?

The librarian randomly chooses 3 Mathematics books, 2 Physics books, 4 novels and 5 Accounting books.

(d) How many distinguishable ways can the books be arranged if they are put on a circular shelf?

(e) What is the probability if the books are randomly put on a circular shelf that none of the Physics books are next to each other? (No two books can be side by side.)
What are your thoughts? What have you tried? How far have you gotten? Where are you stuck? For instance, the answer to part (a) is found by applying one of the formulas they gave you. Which formula did you apply? What did you get for your answer? And so forth.

Please be complete. Thank you! ;)
 
What are your thoughts? What have you tried? How far have you gotten? Where are you stuck? For instance, the answer to part (a) is found by applying one of the formulas they gave you. Which formula did you apply? What did you get for your answer? And so forth.

Please be complete. Thank you! ;)

Need help with pretty much everything. :(
 
Need help with pretty much everything. :(
Plugging the given numbers into the usual formula is pretty simplistic, so I'll guess that you've never seen the actual formula, in which case, you've not studied statistics yet. To learn the material, you'll need to take the class; they'll give you all of this stuff, along with loads of worked examples of how to do the plug-n-chug.
 
Plugging the given numbers into the usual formula is pretty simplistic, so I'll guess that you've never seen the actual formula, in which case, you've not studied statistics yet. To learn the material, you'll need to take the class; they'll give you all of this stuff, along with loads of worked examples of how to do the plug-n-chug.

Thanks for the advice. However, still any help figuring out the solution would be very helpful and much appreciated.
 
Thanks for the advice. However, still any help figuring out the solution would be very helpful and much appreciated.
The "help" was the suggestion to plug the given numbers into the standard formula. You should learn that formula within the first month of your statistics course. ;)
 
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