#Permutation Problem 3

27 messages · Page 1 of 1 (latest)

proud bridgeBOT
#
  1. Ask your question and show the work you've done so far. If you've posted a screenshot of a question, specify which part you need help with.
  2. Wait patiently for a helper to come along.
  3. Once someone helps you, say thank you and close the thread with:
    +close
    
  4. Feel free to nominate the person for helper of the week in #helper-nominations
  5. Do not ping the mods, unless someone is breaking the rules. If there is a conflict amongst multiple helpers feel free to ping “Helper Mod”
  6. If you're happy with the help you got here, and the server overall, you can contribute financially as well:
midnight pumice
#

Hints:

Group the 3 books and think of them as a single book

#

Then think about how the group of 3 books can be arranged or permuted

vivid prism
#

a) (3!)*(4!) = 144

midnight pumice
midnight pumice
#

Use this as a example of few permutations

#

The group of 3 books may be permuted further along with where they are placed

#

1- decide Where the 3 books go
2- decide the order in which they are kept

#

Step 1 gives 5!
Step 2 gives 3!

vivid prism
#

so in (a) this is what in my mind:

I count the 3 books as 1

There could be 5! possibilities

and each of those 5! possibilities

I multiply it again by 3! possibilities due to the 3-vol book can be arranged 3! possibilities

#

Is my algorithm correct?

midnight pumice
#

Yep

#

And in b?

vivid prism
#

wait let me try b

midnight pumice
#

Take your time

vivid prism
#

in (b)

you treat only the 3volBook as one

vivid prism
midnight pumice
#

Yeah 5! For b

#

Good

vivid prism
#

.close

restive walrusBOT
#

Unable to parse the channel name

vivid prism
#

how do I close

#

!close

#

close!

vivid prism
#

+close